Record 1 of 74
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|
| Author(s):
| Delone NB; Krainov VP
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| Title:
| AC-Stark shift of atomic levels
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| Source:
| USPEKHI FIZICHESKIKH NAUK 1999, Vol 169, Iss 7, pp 753-772
|
| No. cited references:
| 79
|
| Addresses:
| Delone NB, Russian Acad Sci, Inst Gen Phys, 38 Vavilov St, Moscow 117942, Russia.
Russian Acad Sci, Inst Gen Phys, Moscow 117942, Russia.
Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia.
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| KeywordsPlus:
| FREQUENCY LASER FIELDS; MULTIPHOTON IONIZATION; DYNAMIC POLARIZABILITY; PHOTODETACHMENT THRESHOLD; ELECTROMAGNETIC-FIELD; TUNNELING IONIZATION; PERTURBATION-SERIES; HIGH-INTENSITY; RADIATION; HYDROGEN
|
| Abstract:
| Calculated and experimental data on the AC-Stark shift of atomic levels in an external, subatomic-strength alternating field are considered. Theoretical predictions concerning the perturbation of atomic spectra by fields of atomic and superatomic strength are discussed. The limiting value of the atomic Stark shift in a light-frequency radiation field is estimated.
|
| Cited references:
| AGOSTINI P-1989-J-PHYS-B-ATOM-MOL-PH-V22-P1472
AGOSTINI P-1989-PHYS-REV-LETT-V63-P2208
ALLILUEV SP-1974-ZH-EKSP-TEOR-FIZ+-V66-P1283
AMMOSOV MV-1997-LASER-PHYS-V7-P79
ANDREYEV SP-1984-ZH-EKSP-TEOR-FIZ+-V86-P866
BAKOS JS-1977-PHYS-REP-V31-P209
BAYFIELD J-1979-PHYS-REP-V51-P318
BAYFIELD JE-1981-PHYS-REV-A-V24-P138
BEIGMAN IL-1994-J-PHYS-B-AT-MOL-OPT-V27-P5833
BEKENSTEIN JD-1969-PHYS-REV-V188-P130
BENASSI L-1980-J-PHYS-B-AT-MOL-OPT-V13-P911
BENASSI L-1979-PHYS-REV-LETT-V42-P704
BERSON IJ-1975-J-PHYS-B-AT-MOL-OPT-V8-P3078
BETE GA-1969-KVANTOVAYA-MEKHANIKA
BONCHBRUEVICH AM-1967-USP-FIZ-NAUK-V93-P71
BONCHBRUEVICH AM-1969-ZH-EKSP-TEO-V56-P144
BONIN KD-1993-PHYS-REV-A-V47-P944
BRESONS IY-1983-ZH-EKSP-TEOR-FIZ-V85-P70
BUREEVA LA-1997-VOZMUSHCHENNYI-ATOM
CRANCE M-1990-J-OPT-SOC-AM-B-V7-P449
DAVIDSON MD-1993-PHYS-REV-LETT-V71-P2192
DAVYDKIN VA-1971-ZHETF-V60-P125
DEBOER MP-1994-J-PHYS-B-AT-MOL-OPT-V27-P721
DEBOER MP-1993-PHYS-REV-LETT-V71-P3263
DELONE NB-1984-ATOM-SILNOM-SVETOVOM
DELONE NB-1992-LASER-PHYSICS-V2-P654
DELONE NB-1994-SPRINGER-SERIES-ATOM-V13
DELONE NB-1985-SPRINGER-SERIES-CHEM-V28
DELONE NB-1998-USP-FIZ-NAUK+-V168-P531
DELONE NB-1995-USP-FIZ-NAUK+-V165-P1295
DELONE NB-1983-USP-FIZ-NAUK+-V140-P355
DELONE NB-1976-USP-FIZ-NAUK+-V120-P3
DELONE NB-1982-ZH-EKSP-TEOR-FIZ+-V83-P2021
DORR M-1990-PHYS-REV-LETT-V64-P2003
ELYASHEVICH MA-1962-ATOMNAYA-MOL-SPEKTRO
FEARNSIDE AS-1995-PHYS-REV-A-V51-P1471
FRANCESCHINI V-1985-PHYS-REV-A-V32-P1338
FRISH SE-1963-OPTICHESKIE-SPEKTRY
GAVRILA M-1984-PHYS-REV-LETT-V52-P613
HUILLIER L-1989-J-OPT-SOC-AM-B-V6-P1644
JONES RR-1991-PHYS-REV-LETT-V67-P3215
KAMKE E-1976-SPRAVOCHNIK-OBYKNOVE
KELDYSH LV-1964-ZH-EKSP-TEOR-FIZ-V47-P1945
KOCH PM-1977-INT-C-MULT-PROC-POST
KRAINOV VP-1993-LASER-PHYS-V3-P756
KRAINOV VP-1993-ZH-EKSP-TEOR-FIZ-V103-P1143
KRILOVETSKY AA-1997-LASER-PHYS-V7-P542
KULYAGIN RV-1993-LASER-PHYSICS-V3-P644
LETOKHOV VS-1987-LAZERNAYA-FOTOIONIZA
MANAKOV NL-1986-PHYS-REP-V141-P320
MANAKOV NL-1989-ZH-EKSP-TEOR-FIZ+-V95-P790
MANAKOV NL-1975-ZH-EKSP-TEOR-FIZ+-V69-P842
MAQUET A-1983-PHYS-REV-A-V27-P2946
MARINESCU M-1994-PHYS-REV-A-V49-P5103
MEVEL E-1992-J-PHYS-B-AT-MOL-OPT-V25-PL401
MEVEL E-1993-PHYS-REV-LETT-V70-P406
MUR VD-1993-LASER-PHYS-V3-P462
MUR VD-1993-PISMA-ESKP-TEOR-FIZ-V57-P406
NG K-1987-PHYS-REV-A-V35-P2508
NIKISHOV AI-1964-ZH-EKSP-TEOR-FIZ-V46-P776
OBRIAN TR-1994-PHYS-REV-A-V49-PR649
PONT M-1987-PHYS-LETT-A-V123-P469
PONT M-1989-PHYS-REV-A-V40-P5659
PONT M-1988-Z-PHYS-D-ATOM-MOL-CL-V9-P297
POPOV VS-1990-PHYS-LETT-A-V149-P418
RADTSIG AA-1986-PARAMETRY-ATOMOV-ATO
RAPOPORT LP-1997-OPT-SPEKTROSK-V83-P888
RAPOPORT LP-1978-TEORIYA-MNOGOFOTONNY
RAPOPORT LP-1994-ZH-EKSP-TEOR-FIZ+-V105-P534
RITUS VI-1966-ZH-EKSP-TEO-V51-P1544
ROTTKE H-1989-Z-PHYS-D-V15-P133
SILVERMAN JN-1988-CHEM-PHYS-LETT-V153-P61
SMIRNOV BM-1982-VOZBUZHDENNYE-ATOMY
SZOKE A-1989-PHYS-REV-A-V40-P2766
TRAINHAM R-1987-PHYS-REV-LETT-V59-P2291
VOLKOVA EA-IN-PRESS-ZHETF
VOLKOVA EA-1997-ZH-EKSP-TEOR-FIZ-V111-P1194
VOLKOVA EA-1996-ZH-EKSP-TEOR-FIZ+-V109-P1586
ZELDOVICYB-1973-USP-FIZ-NAUK+-V110-P139
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| Source item page count:
| 20
|
| Publication Date:
| JUL
|
| IDS No.:
| 223XH
|
| 29-char source abbrev:
| USP FIZ NAUK
|
Record 2 of 74
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| Author(s):
| Popov VS; Karnakov BM; Mur VD
|
| Title:
| Lorentz ionization of atoms in a strong magnetic field
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| Source:
| JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 1999, Vol 88, Iss 5, pp 902-912
|
| No. cited references:
| 42
|
| Addresses:
| Popov VS, Inst Theoret & Expt Phys, Moscow 117218, Russia.
Inst Theoret & Expt Phys, Moscow 117218, Russia.
Moscow Engn Phys Inst, Moscow 115409, Russia.
|
| KeywordsPlus:
| PERTURBATION-THEORY; STARK RESONANCES; HYDROGEN-ATOM; HIGH ORDERS; 1/N-EXPANSION
|
| Abstract:
| Lorentz ionization emerges due to the motion of atoms or ions in a strong magnetic field. We use the semiclassical approximation to calculate the probability w(L) of Lorentz ionization. We also find the stabilization factor S, which takes into account the reduction by the magnetic field of the probability of ionization decay of the bound s state. We estimate the probabilities w(L) in magnetic-cumulation experiments and in astrophysics. We also qualitatively examine the dynamics of the magnetic cumulation process with allowance for the conductivity of the shell. Finally, we discuss a paradox related to the use of the quasistationary solution at the shell expansion stage.(C) 1999 American Institute of Physics. [S1063-7761(99)00905-1].
|
| Cited references:
| ALLILUEV SP-1980-PHYS-LETT-A-V78-P43
ALLILUEV SP-1979-PHYS-LETT-A-V73-P103
ASKARYAN GA-1996-HE-LIVED-US-MEMORIES-P125
BENASSI L-1979-PHYS-REV-LETT-V42-P704
BENASSI L-1979-PHYS-REV-LETT-V42-P1430
BITTER F-1965-SCI-AM-JUL-P64
BREZIN E-1970-PHYSICAL-REVIEW-D-V2-P1191
CARSLAW HS-1945-INTRO-MATH-THEORY-CO
DAMBURG RJ-1978-J-PHYS-B-AT-MOL-OPT-V11-P1921
DAVYDOV AS-1976-SOLID-STATE-THEORY
DELONE NB-1998-PHYS-USP-V41-P469
ELETSKIELETSKII AV-1980-SOV-PHYS-DOKL-V25-P27
FABRIKA SN-1998-129-RUSS-AC-SCI-SPEC
FERNANDEZ FM-1996-PHYS-REV-A-V54-P1206
FRANCESCHINI V-1985-PHYS-REV-A-V32-P1338
GRADSHTEYN IS-1980-TABLES-INTEGRALS-SUM
HEHENBERM-1974-PHYS-REV-A-V10-P1494
HERBST IW-1978-PHYS-REV-LETT-V41-P67
HERBST IW-1978-PHYS-REV-LETT-V41-P1759
JOHNSON BR-1963-PHYS-REV-LETT-V51-P2280
KARNAKOV BM-1997-JETP-LETT+-V65-P405
LANDAU LD-1984-ELECTRODYNAMICS-CONT
LANDAU LD-1977-QUANTUM-MECH-NONRELA
LIDE DR-1994-HDB-CHEM-PHYSICS
MUR VD-1993-LASER-PHYS-V3-P462
MUR VD-1999-SOV-PHYS-JETP-V88-P286
PAVLOVSKII AI-1995-COLLECTED-PAPERS-AD-P85
POPOV VS-1996-JETP-LETT+-V63-P417
POPOV VS-1997-PHYS-LETT-A-V229-P306
POPOV VS-1993-PHYS-LETT-A-V173-P63
POPOV VS-1990-PHYS-LETT-A-V149-P418
POPOV VS-1987-PHYS-LETT-A-V124-P77
POPOV VS-1998-SOV-PHYS-JETP-V86-P860
SAKHAROV AD-1965-COLLECTED-PAPERS-AD
SAKHAROV AD-1966-SOV-PHYS-DOKL-V10-P1045
SAKHAROV AD-1966-SOV-PHYS-USP-V9-P294
SCHWINGER J-1951-PHYS-REV-V82-P664
SEIPP I-1997-ASTRON-ASTROPHYS-V318-P990
SEIPP I-1996-J-PHYS-B-AT-MOL-OPT-V29-P1
SILVERSTONE HJ-1979-PHYS-REV-LETT-V43-P1498
VAINBERG VM-1998-16-C-FUND-AT-SPECTR-P130
WICKRAMASINGHE DT-1988-ASTROPHYS-J-V327-P222
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| Source item page count:
| 11
|
| Publication Date:
| MAY
|
| IDS No.:
| 206BX
|
| 29-char source abbrev:
| J EXP THEOR PHYS
|
Record 3 of 74
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|
| Author(s):
| Watson DK; McKinney BA
|
| Title:
| Improved large-N limit for Bose-Einstein condensates from perturbation theory
|
| Source:
| PHYSICAL REVIEW A 1999, Vol 59, Iss 5, pp 4091-4094
|
| No. cited references:
| 18
|
| Addresses:
| Watson DK, Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
|
| KeywordsPlus:
| EXPANSION
|
| Abstract:
| We present a perturbation solution of a model Bose-Einstein Hamiltonian derived by Bohn, Esry, and Greene. In our solution we use 1/N as the perturbation parameter, where N is the number of particles in the condensate. Ground-state energies are reported for parameters approximating the Joint Institute for Laboratory Astrophysics Rb-87 experiments. We predict the critical number of atoms with negative scattering lengths that can be trapped using the effective trap frequency of the first-order equation. The N-->infinity perturbation limit, which retains a single term beyond the conventional Thomas-Fermi limit, gives ground-state energies that agree to three digits with converged results, thus providing a much improved limit for large N. [S1050-2947(99)00305-4].
|
| Cited references:
| ANDERSON MH-1995-SCIENCE-V269-P198
AVERY J-1989-HYPERSPHERICAL-HARMO
BERLIN TH-1952-PHYS-REV-V86-P821
BOHN JL-COMMUNICATION
BOHN JL-1998-PHYS-REV-A-V58-P584
BRADLEY CC-1997-PHYS-REV-LETT-V78-P985
DUNN M-1994-J-CHEM-PHYS-V101-P5987
FETTER AL-1997-J-LOW-TEMP-PHYS-V106-P643
HERSCHBACH DR-1992-DIMENSIONAL-SCALING
MLODINOW LD-1980-ANN-PHYS-NEW-YORK-V128-P314
PEREZGARCIA VM-1997-PHYS-REV-A-V56-P1424
POPOV VS-1990-PHYS-LETT-A-V149-P425
RUDNICK J-1987-SCIENCE-V237-P384
SMIRNOV YF-1977-SOV-J-PART-NUCL-V8-P344
STANLEY HE-1968-PHYS-REV-V176-P718
STOOF HTC-1997-J-STAT-PHYS-V87-P1353
TSIPIS CA-1996-NATO-C-BOOK-V8
UEDA M-1998-PHYS-REV-LETT-V80-P1576
|
| Source item page count:
| 4
|
| Publication Date:
| MAY
|
| IDS No.:
| 197UB
|
| 29-char source abbrev:
| PHYS REV A
|
Record 4 of 74
|
|
| Author(s):
| Killingbeck JP
|
| Title:
| Subsequence summation and the m function
|
| Source:
| PHYSICS LETTERS A 1999, Vol 253, Iss 1-2, pp 28-32
|
| No. cited references:
| 10
|
| Addresses:
| Killingbeck JP, Observ Besancon, 41 Ave Observ, BP 1615, F-25010 Besancon, France.
Observ Besancon, F-25010 Besancon, France.
Univ Hull, Dept Math, Hull HU6 7RX, N Humberside, England.
|
| KeywordsPlus:
| TRANSFORMATIONS
|
| Abstract:
| A complex variable modification of the Hill determinant method is shown to give accurate values for the Weyl-Titchmarsh mo(lambda) function used in the spectral theory of the Schrodinger equation. A method of geometric sampling of partial sums is tested and shown to produce well converged results from some extremely slowly converging spectral sums for the mo(lambda) function associated with the potential V(x) = x(2). (C) 1999 Elsevier Science B.V.
|
| Cited references:
| BREZINSKI C-1977-ACCELERATION-CONVERG
KILLINGBECK J-1988-PHYS-LETT-A-V132-P223
KILLINGBECK JP-1995-PHYS-LETT-A-V206-P279
LEVIN D-1973-INT-J-COMPUT-MATH-V3-P371
SERGEEV AV-1998-J-PHYS-A-MATH-GEN-V31-P4301
SHANKS D-1995-J-MATHS-PHYS-V34-P1
VANDENBROECK JM-1979-SIAM-J-MATH-ANAL-V10-P658
WEYL H-1910-MATH-ANN-V68-P220
WIMP J-1981-SEQUENCE-TRANSFORMAT
WYNN P-1956-MTAC-V10-P91
|
| Source item page count:
| 5
|
| Publication Date:
| MAR 15
|
| IDS No.:
| 176ZP
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 5 of 74
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|
| Author(s):
| Dunn M; Watson DK
|
| Title:
| Large-dimension limit of higher-angular-momentum states of two-electron atoms
|
| Source:
| PHYSICAL REVIEW A 1999, Vol 59, Iss 2, pp 1109-1124
|
| No. cited references:
| 235
|
| Addresses:
| Dunn M, Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
|
| KeywordsPlus:
| SHIFTED 1/N EXPANSION; LARGE-N-EXPANSION; DOUBLY-EXCITED-STATES; MOLECULAR-ORBITAL DESCRIPTION; INVERSE SCATTERING TRANSFORMATION; HELIUM ISOELECTRONIC SEQUENCE; SCREENED COULOMB POTENTIALS; BARRIER STARK RESONANCES; QUASI-STATIONARY STATES; WEAKLY-BOUND SYSTEMS
|
| Abstract:
| To apply the methods of dimensional scaling to higher-angular-momentum states, a formalism needs to be developed which factors the D-dimensional rotational degrees of freedom from the internal degrees of freedom. The rotational degrees of freedom multiply with increasing dimensionality, while the internal degrees of freedom remain finite in number. A suitable expansion which achieves this has been presented by the authors recently and is an N-electron D-dimensional generalization of the Schwartz expansion. A derivation of the coupled differential equations in the internal variables that result from the application of the Hamiltonian to this wave-function expansion for the atomic two-electron system has been presented by the authors in another recent paper. The coupled differential equations admit continuation in D and clearly show the complete spectrum of exact interdimensional degeneracies of the two-electron system. However, to apply the methods of dimensional scaling to the two-electron system, the system of coupled differential equations have to be solved for large D. This paper concerns itself with this issue. [S1050-2947(97)07608-7].
|
| Cited references:
| ADER JP-1983-PHYS-LETT-A-V97-P178
ALVES NA-1988-J-PHYS-A-MATH-GEN-V21-P3215
ANDREW K-1990-AM-J-PHYS-V58-P1177
ATAG S-1988-PHYS-REV-A-V37-P2280
AU CK-1991-J-PHYS-B-AT-MOL-OPT-V24-P4671
AVAN J-1984-NUCL-PHYS-B-V237-P159
AVAN J-1983-NUCL-PHYS-B-V224-P61
AVAN J-1984-PHYS-REV-D-V29-P2891
AVAN J-1984-PHYS-REV-D-V29-P2904
AVERY J-1993-DIMENSIONAL-SCALING-P139
AVERY J-1989-HYPERSPHERICAL-HARMO
AVERY J-1992-INT-J-QUANTUM-CHEM-V41-P673
AVERY J-1991-INT-J-QUANTUM-CHEM-V39-P657
AVERY J-1991-THEOR-CHIM-ACTA-V81-P1
BAG M-1992-PHYS-REV-A-V46-P6059
BELOV AA-1989-PHYS-LETT-A-V142-P389
BELOV AA-1989-THEOR-MATH-PHYS+-V81-P1294
BELOV AA-1990-ZH-EKSP-TEOR-FIZ+-V98-P25
BENDER CM-1982-PHYS-REV-A-V25-P1305
BENDER CM-1992-PHYS-REV-LETT-V68-P3674
BERA PK-1993-PHYS-REV-A-V48-P4764
BERLIN TH-1952-PHYS-REV-V86-P821
BERRY RS-1988-ADV-CHEM-PHYS-V70-P35
BERRY RS-1989-CONTEMP-PHYS-V30-P1
BERRY RS-1993-DIMENSIONAL-SCALING-P485
BLEIL R-1995-INT-J-QUANTUM-CHEM-S-V29-P349
BLEIL R-1995-J-CHEM-PHYS-V103-P6529
BLINDER SM-1984-J-MATH-PHYS-V25-P905
BOERNER H-1983-REPRESENTATIONS-GROU
BOLLE D-1984-PHYS-REV-A-V30-P1279
BOTTCHER C-1994-PHYS-REV-A-V49-P1714
BOYA LJ-1994-PHYS-REV-A-V50-P4397
BUTLER GJ-1983-J-MATH-BIOL-V17-P131
CARZOLI J-IN-PRESS-PHYS-REV-A
CHATTERJEE A-1985-J-PHYS-A-MATH-GEN-V18-P735
CHATTERJEE A-1985-J-PHYS-A-MATH-GEN-V18-P2403
CHATTERJEE A-1990-PHYS-REP-V186-P249
CHATTERJEE A-1986-PHYS-REV-A-V34-P2470
CHISHOLM CDH-1976-GROUP-THEORETICAL-TE-PCH8
CHRISTIANSEN H-1989-PHYS-REV-A-V40-P1760
DAHL JP-1993-DIMENSIONAL-SCALING-P165
DEVEGA HJ-1979-COMMUN-MATH-PHYS-V70-P29
DIRAC PAM-1958-PRINCIPLES-QUANTUM-M
DOLGOV AD-1979-PHYS-LETT-B-V86-P185
DOREN DJ-1985-CHEM-PHYS-LETT-V118-P115
DOREN DJ-1987-J-CHEM-PHYS-V87-P433
DOREN DJ-1986-J-CHEM-PHYS-V85-P4557
DOREN DJ-1988-J-PHYS-CHEM-US-V92-P1816
DOREN DJ-1986-PHYS-REV-A-V34-P2654
DOREN DJ-1986-PHYS-REV-A-V34-P2665
DUNN M-1996-ANN-PHYS-NEW-YORK-V251-P266
DUNN M-1996-ANN-PHYS-NEW-YORK-V251-P319
DUNN M-1994-J-CHEM-PHYS-V101-P5987
DUNN M-1990-J-PHYS-B-AT-MOL-OPT-V23-P2435
DUNN M-1993-J-PHYS-CHEM-US-V97-P2457
DUNN M-UNPUB
DUTT R-1987-J-PHYS-B-AT-MOL-OPT-V20-P2437
DUTT R-1986-J-PHYS-B-AT-MOL-OPT-V19-P3411
DUTT R-1985-J-PHYS-B-AT-MOL-OPT-V18-P3311
DUTT R-1986-PHYS-REV-A-V34-P777
DUTT R-1986-Z-PHYS-D-ATOM-MOL-CL-V2-P207
EDMONDS AR-1960-ANGULAR-MOMENTUM-QUA
ERKOC S-1986-PHYS-REV-D-V33-P588
FANO U-1993-NEW-METHODS-QUANTUM-P225
FEAGIN JM-1988-PHYS-REV-A-V37-P4599
FEAGIN JM-1986-PHYS-REV-LETT-V57-P984
FERRELL RA-1974-PHYS-REV-A-V9-P846
FRANTZ DD-1988-CHEM-PHYS-V126-P59
FRANTZ DD-1989-PHYS-REV-A-V40-P1175
GALLUP GA-1959-J-MOL-SPECTROSC-V3-P673
GANGOPADHYAY RS-1984-PHYS-REV-A-V30-P594
GANGYOPADHYAY RS-1985-PHYS-REV-D-V32-P3312
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GERMANN TC-1995-PHYS-REV-LETT-V74-P658
GONZALEZ A-1992-FEW-BODY-SYST-V13-P105
GONZALEZ A-1991-FEW-BODY-SYST-V10-P43
GONZALEZ A-1993-J-PHYS-B-AT-MOL-OPT-V26-P1253
GOODSON DZ-1993-DIMENSIONAL-SCALING-P275
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1987-J-CHEM-PHYS-V86-P4997
GOODSON DZ-1993-PHYS-REV-A-V48-P2668
GOODSON DZ-1992-PHYS-REV-A-V46-P5428
GOODSON DZ-1991-PHYS-REV-A-V44-P97
GOODSON DZ-1991-PHYS-REV-A-V43-P4617
GOODSON DZ-1987-PHYS-REV-LETT-V58-P1628
GOSCINSKI O-1986-INT-J-QUANTUM-CHEM-V29-P897
HAGG L-1993-DIMENSIONAL-SCALING-P315
HAMERMESH M-1989-GROUP-THEORY-ITS-APP-PCH10
HERRICK DR-1983-ADV-CHEM-PHYS-V52-P1
HERRICK DR-1975-J-MATH-PHYS-V16-P281
HERRICK DR-1975-J-MATH-PHYS-V16-P1047
HERRICK DR-1975-PHYS-REV-A-V11-P42
HERSCHBACH DR-1993-DIMENSIONAL-SCALING
HERSCHBACH DR-1993-DIMENSIONAL-SCALING-P7
HERSCHBACH DR-1996-INT-J-QUANTUM-CHEM-V57-P295
HERSCHBACH DR-1986-J-CHEM-PHYS-V84-P838
HERSCHBACH DR-1989-P-WELSCH-FD-CHEM-RES-V32-P95
HERSCHBACH DR-1988-Z-PHYS-D-ATOM-MOL-CL-V10-P195
HERSHBACH DR-1987-FARADAY-DISC-CHEM-SO-V84-P465
HIKAMI S-1979-J-PHYS-A-MATH-GEN-V12-P759
HOLAS A-1991-J-PHYS-A-MATH-GEN-V24-P4249
IKHDAIR SM-1993-Z-PHYS-D-ATOM-MOL-CL-V28-P1
IMBO T-1984-PHYS-LETT-A-V105-P183
IMBO T-1984-PHYS-REV-D-V29-P1669
IMBO TD-1985-PHYS-REV-LETT-V54-P2184
JAMEEL M-1986-J-PHYS-A-MATH-GEN-V19-P1967
JEVICKI A-1980-NUCL-PHYS-B-V171-P362
KAIS S-1995-J-CHEM-PHYS-V102-P7472
KAIS S-1994-J-CHEM-PHYS-V100-P4367
KAIS S-1993-J-CHEM-PHYS-V99-P417
KAIS S-1993-J-CHEM-PHYS-V99-P5184
KAIS S-1993-J-CHEM-PHYS-V98-P3990
KAIS S-1991-J-CHEM-PHYS-V95-P9028
KAIS S-1989-J-CHEM-PHYS-V91-P7791
KAIS S-1994-J-PHYS-CHEM-US-V98-P11015
KAIS S-1993-J-PHYS-CHEM-US-V97-P2453
KAIS S-1996-NATO-ASI-3-HIGH-TECH-V8-P55
KARNAKOV BM-1994-SOV-PHYS-JETP-V79-P534
KAUSHAL RS-1984-LETT-NUOVO-CIMENTO-V41-P434
KELLMAN ME-1994-PHYS-REV-LETT-V73-P2543
KELLMAN ME-1985-PHYS-REV-LETT-V55-P1738
KOSTELECKY VA-1985-PHYS-REV-D-V32-P2627
KUDINOV AV-1982-CZECH-J-PHYS-B-V32-P556
KUDINOV AV-1983-THEOR-MATH-PHYS+-V56-P871
KVENTSEL GF-1981-PHYS-REV-A-V24-P2299
LAI CH-1987-J-MATH-PHYS-V28-P1801
LIN CD-1986-ADV-ATOM-MOL-PHYS-V22-P77
LIN CD-1995-PHYS-REP-V257-P1
LIN CD-1984-PHYS-REV-A-V29-P1019
LIN CD-1993-REV-FUNDAMENTAL-PROC-P357
LOESER JG-1994-J-CHEM-PHYS-V100-P5036
LOESER JG-1991-J-CHEM-PHYS-V95-P4525
LOESER JG-1987-J-CHEM-PHYS-V86-P2114
LOESER JG-1987-J-CHEM-PHYS-V86-P3512
LOESER JG-1987-J-CHEM-PHYS-V86-P5635
LOESER JG-1986-J-CHEM-PHYS-V84-P3882
LOESER JG-1986-J-CHEM-PHYS-V84-P3893
LOESER JG-1985-J-PHYS-CHEM-US-V89-P3444
LOESER JG-1996-NATO-ASI-3-HIGH-TECH-V8-P33
LOPEZCABRERA M-1993-J-PHYS-CHEM-US-V97-P2467
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
LOUCK JD-1960-J-MOL-SPECTROSCOPY-V4-P285
LOUCK JD-1960-J-MOL-SPECTROSCOPY-V4-P334
LOUCK JD-1960-J-MOL-SPECTRY-V4-P298
MALUENDES SA-1986-PHYS-REV-D-V34-P1835
MIRAMONTES JL-1984-NUOVO-CIMENTO-B-V84-P10
MLODINOW LD-1981-ANN-PHYS-NEW-YORK-V131-P1
MLODINOW LD-1980-ANN-PHYS-NEW-YORK-V128-P314
MLODINOW LD-1984-J-MATH-PHYS-V25-P943
MOELOUT MO-COMMUNICATION
MORALES DA-1989-CHEM-PHYS-LETT-V161-P253
MORALES DA-1996-INT-J-QUANTUM-CHEM-V57-P7
MORENO G-1986-J-PHYS-A-V19-P3707
MORENO G-1984-J-PHYS-B-AT-MOL-OPT-V17-P21
MORENO G-1987-PHYS-REV-A-V35-P2722
MORGAN JD-1993-DIMENSIONAL-SCALING-P336
MORGAN JD-1993-DIMENSIONAL-SCALING-P354
MUR VD-1987-JETP-LETT+-V45-P410
MUR VD-1990-SOV-J-NUCL-PHYS+-V51-P249
MUR VD-1988-SOV-J-NUCL-PHYS+-V47-P444
MUR VD-1990-SOV-PHYS-JETP-V70-P975
MUR VD-1990-ZH-EKSP-TEOR-FIZ+-V97-P32
MUSTAFA O-1993-J-QUANT-SPECTROSC-RA-V49-P65
NANOPOULOS DV-1994-RIV-NUOVO-CIMENTO-V17-P1
NIETO MM-1979-AM-J-PHYS-V47-P1067
PAGNAMENTA A-1986-PHYS-REV-D-V34-P3528
PANJA MM-1990-PHYS-REV-A-V42-P106
PANJA MM-1988-PHYS-REV-A-V38-P3937
PAPP E-1988-PHYS-REV-A-V38-P2158
PAPP E-1987-PHYS-REV-A-V36-P3550
POPOV VS-1994-JETP-LETT+-V59-P158
POPOV VS-1985-JETP-LETT+-V41-P439
POPOV VS-1996-NATO-ASI-3-HIGH-TECH-V8-P149
POPOV VS-1994-PHYS-LETT-A-V193-P159
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1993-PHYS-LETT-A-V173-P63
POPOV VS-1993-PHYS-LETT-A-V172-P193
POPOV VS-1991-PHYS-LETT-A-V157-P185
POPOV VS-1990-PHYS-LETT-A-V149-P418
POPOV VS-1990-PHYS-LETT-A-V149-P425
POPOV VS-1987-PHYS-LETT-A-V124-P77
POPOV VS-1991-YAD-FIZ-V54-P1582
POPOV VS-1986-YAD-FIZ-V44-P1103
ROST JM-1993-DIMENSIONAL-SCALING-P471
ROST JM-1991-J-PHYS-B-AT-MOL-OPT-V24-P2455
ROST JM-1991-J-PHYS-B-AT-MOL-OPT-V24-P4293
ROST JM-1993-J-PHYS-CHEM-US-V97-P2461
ROST JM-1992-PHYS-REV-A-V46-P2410
ROY B-1987-J-PHYS-A-MATH-GEN-V20-P3051
ROY B-1986-PHYS-REV-A-V34-P5108
ROYCHOUDHURY R-1989-PHYS-REV-A-V39-P5523
ROYCHOUDHURY R-1988-PHYS-REV-A-V37-P2309
RUDNICK J-1987-SCIENCE-V237-P384
SCHULTZ DR-1994-PHYS-REV-A-V50-P1348
SCHWARTZ C-1961-PHYSICAL-REVIEW-V123-P1700
SEVER R-1988-PHYS-REV-A-V37-P3158
SEVER R-1987-PHYS-REV-A-V36-P1045
SEVER R-1987-PHYS-REV-A-V35-P2725
SINHAROY M-1984-J-PHYS-A-MATH-GEN-V17-PL687
STEPANOV SS-1991-ZH-EKSP-TEOR-FIZ+-V100-P415
SUKHATME U-1983-PHYS-REV-D-V28-P418
SUKHATME UP-1986-PHYS-REV-D-V33-P1166
SUNG SM-1993-J-PHYS-CHEM-US-V97-P2479
SUVERNEV AA-IN-PRESS-CHEM-PHYS-L
SUVERNEVV AA-UNPUB
TALMAN JD-1968-SPEICAL-FUNCTIONS-GR
TAN AL-1993-DIMENSIOAL-SCALING-C-P230
TANG AZ-1987-PHYS-REV-A-V35-P911
TRAYNOR CA-1993-J-PHYS-CHEM-US-V97-P2464
TSIPIS CA-1996-NATO-ADV-SCI-I-SERIE-V8
VAINBERG VM-1993-DIMENSIONAL-SCALING-P217
VAINBERG VM-1987-JETP-LETT+-V46-P225
VAINBERG VM-1986-JETP-LETT+-V44-P9
VAINBERG VM-1990-SOV-PHYS-JETP-V71-P470
VAINBERG VM-1988-TEOR-MAT-FIZ-V74-P399
VAINBERG VM-1987-ZH-EKSP-TEOR-FIZ+-V66-P258
VANDERMERWE PD-1985-J-CHEM-PHYS-V82-P5293
VANDERMERWE PD-1984-J-CHEM-PHYS-V81-P5976
VANDERMERWE PD-1989-PHYS-REV-A-V40-P1785
VANDERMERWE PD-1986-PHYS-REV-A-V34-P3452
VANDERMERWE PDT-1987-PHYS-REV-A-V36-P3446
VARSHNI YP-1989-PHYS-REV-A-V40-P2180
VARSHNI YP-1988-PHYS-REV-A-V38-P1595
VARSHNI YP-1987-PHYS-REV-A-V36-P3009
WATSON DK-1996-NATO-ASI-3-HIGH-TECH-V8-P83
WEYL H-1939-CLASSICAL-GROUPS
WITTEN E-1980-NATO-ADV-STUDY-I-B-V59
WITTEN E-1980-PHYS-TODAY-V33-P38
YAFFE LG-1983-PHYS-TODAY-V36-P50
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
YANEZ RJ-1994-PHYS-REV-A-V50-P3065
ZENG GJ-1994-PHYS-REV-A-V50-P4373
ZHEN Z-1993-DIMENSIONAL-SCALING-P83
ZHEN Z-1993-DIMENSIONAL-SCALING-P429
|
| Source item page count:
| 16
|
| Publication Date:
| FEB
|
| IDS No.:
| 169YW
|
| 29-char source abbrev:
| PHYS REV A
|
Record 6 of 74
|
|
| Author(s):
| Carzoli JC; Dunn M; Watson DK
|
| Title:
| Singly and doubly excited states of the D-dimensional helium atom
|
| Source:
| PHYSICAL REVIEW A 1999, Vol 59, Iss 1, pp 182-187
|
| No. cited references:
| 38
|
| Addresses:
| Carzoli JC, Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
|
| KeywordsPlus:
| ANGULAR-MOMENTUM STATES; LARGE-N EXPANSIONS; 1/D EXPANSION; POTENTIAL SCATTERING; PERTURBATION-THEORY; QUANTUM-MECHANICS; INTERDIMENSIONAL DEGENERACIES; VARIABLE DIMENSIONALITY; SCHRODINGER-EQUATION; 2-ELECTRON ATOMS
|
| Abstract:
| Large-order dimensional perturbation theory (DPT) has been used to study the ground and a number of excited states of two-electron atoms for the case L=0. Here we present an application of recent work generalizing DPT to any higher angular-momentum state. In this work we begin the investigation of P-o states, presenting results for the energies of some of the lowest-lying states and discuss the analytic structure of these energies as functions of 1/D. We also obtain energies of corresponding D-o states with almost no additional effort by making use of interdimensional degeneracies with the P-o states. [S1050-2947(98)06512-3].
|
| Cited references:
| BAKER GA-1981-PADE-APPROXIMANTS-1-V13
BELOV AA-1989-THEOR-MATH-PHYS+-V81-P1294
BELOV AA-1990-ZH-EKSP-TEOR-FIZ+-V98-P25
BENDER CM-1982-PHYS-REV-A-V25-P1305
BHATIA AK-1972-PHYS-REV-A-V6-P2498
BOLLE D-1984-PHYS-REV-A-V30-P1279
BOTTCHER C-1994-PHYS-REV-A-V49-P1714
BOYA LJ-1994-PHYS-REV-A-V50-P4397
CHATTERJEE A-1990-PHYS-REP-V186-P249
DOREN DJ-1986-PHYS-REV-A-V34-P2654
DOREN DJ-1986-PHYS-REV-A-V34-P2665
DUNN M-1996-ANN-PHYS-NEW-YORK-V251-P266
DUNN M-1996-ANN-PHYS-NEW-YORK-V251-P319
DUNN M-1996-FEW-BODY-SYST-V21-P187
DUNN M-1994-J-CHEM-PHYS-V101-P5987
DUNN M-1993-J-PHYS-CHEM-US-V97-P2457
GANGYOPADHYAY RS-1985-PHYS-REV-D-V32-P3312
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GONZALEZ A-1993-J-PHYS-B-AT-MOL-OPT-V26-P1253
GOODSON DZ-1991-PHYS-REV-A-V44-P97
HERRICK DR-1975-J-MATH-PHYS-V16-P281
HERRICK DR-1975-PHYS-REV-A-V11-P42
HERSCHBACH DR-1993-DIMENSIONAL-SCALING
HERSCHBACH DR-1988-Z-PHYS-D-ATOM-MOL-CL-V10-P195
KAIS S-1993-J-PHYS-CHEM-US-V97-P2453
KONO A-1986-PHYS-REV-A-V34-P1727
KVENTSEL GF-1981-PHYS-REV-A-V24-P2299
LOESER JG-1991-J-CHEM-PHYS-V95-P4525
MLODINOW LD-1980-ANN-PHYS-NEW-YORK-V128-P314
POPOV VS-1993-DIMENSIONAL-SCALING-P217
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1987-PHYS-LETT-A-V124-P77
SCHULTZ DR-1994-PHYS-REV-A-V50-P1348
SINHAROY M-1984-J-PHYS-A-MATH-GEN-V17-PL687
SUKHATME UP-1986-PHYS-REV-D-V33-P1166
SUVERNEV AA-1997-CHEM-PHYS-LETT-V269-P177
TSIPIS CA-1996-NEW-METHODS-QUANTUM-V8
VAINBERG VM-1990-SOV-PHYS-JETP-V71-P470
|
| Source item page count:
| 6
|
| Publication Date:
| JAN
|
| IDS No.:
| 158JD
|
| 29-char source abbrev:
| PHYS REV A
|
Record 7 of 74
|
|
| Author(s):
| Walkup JR; Dunn M; Watson DK; Germann TC
|
| Title:
| Avoided crossings of diamagnetic hydrogen as functions of magnetic field strength and angular momentum
|
| Source:
| PHYSICAL REVIEW A 1998, Vol 58, Iss 6, pp 4668-4682
|
| No. cited references:
| 85
|
| Addresses:
| Walkup JR, Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
Univ Oklahoma, Dept Phys & Astron, Norman, OK 73019 USA.
Univ Calif Los Alamos Natl Lab, Theoret Div T 11, Los Alamos, NM 87545 USA.
|
| KeywordsPlus:
| DIMENSIONAL PERTURBATION-THEORY; CIRCULAR RYDBERG STATES; LARGE-N EXPANSIONS; POTENTIAL SCATTERING; DENSITY FUNCTIONALS; EXCEPTIONAL POINTS; 1/D EXPANSION; WAVE-PACKETS; ATOM; SPECTRA
|
| Abstract:
| The energy levels of diamagnetic hydrogen as a function of two independent parameters, magnetic field strength B, and angular momentum m, are examined. Avoided crossings appear between these energy levels as either parameter is varied while the other is held fixed. These avoided crossings are directly related to degeneracies (Fermi resonances) occurring at zeroth order in perturbation theory. The mathematical basis of these degeneracies are the square-root branch points that connect the energy levels. It is found that the locations of avoided crossings in either constant-B or constant-in spectra can be predicted by visually scanning the locations of these branch points in the complex-delta plane, where delta= 1/(2 + 2 \m\) is the perturbation parameter used in this research. [S1050-2947(98)07111-X].
|
| Cited references:
| ARFKEN G-1985-MATH-METHODS-PHYSICI-P377
AVERBUKH IS-1989-PHYS-LETT-A-V139-P449
BELOV AA-1990-SOV-PHYS-JETP-V71-P12
BENDER CM-1978-ADV-MATH-METHODS-SCI-PCH8
BENDER CM-1982-PHYS-REV-A-V25-P1305
BERLIN TH-1952-PHYS-REV-V86-P821
BOHM A-1986-QUANTUM-ECH-FDN-APPL-PCH21
BOLLE D-1984-PHYS-REV-A-V30-P1279
BOYA LJ-1994-PHYS-REV-A-V50-P4397
BRANDI HS-1975-PHYS-REV-A-V11-P1835
BRAUN PA-1993-J-PHYS-B-AT-MOL-OPT-V26-P3739
BRAY AJ-1974-J-PHYS-A-MATH-GEN-V7-P2144
CACCIANI P-1992-J-PHYS-B-AT-MOL-OPT-V25-P1991
CHATTERJEE A-1990-PHYS-REP-V186-P249
CHEN L-1993-J-PHYS-B-AT-MOL-OPT-V26-PL437
DAI CM-1991-PHYSICA-B-V172-P455
DELANDE D-1991-CHAOS-QUANTUM-PHYSIC
DELANDE D-1986-COMMENTS-AT-MOL-PHYS-V19-P35
DELANDE D-1988-EUROPHYS-LETT-V5-P303
DELANDE D-1991-PHYS-REV-LETT-V66-P3237
DUNN M-1996-J-CHEM-PHYS-V104-P9870
DUNN M-1994-J-CHEM-PHYS-V101-P5987
FASSBINDER P-1996-PHYS-REV-A-V53-P2135
FERMI E-1931-Z-PHYSIK-V71-P250
FERRELL RA-1974-PHYS-REV-A-V9-P846
FRIEDICH H-1991-THEORETICAL-ATOMIC-P
FRIEDRICH H-1989-PHYS-REP-V183-P37
FRIEDRICH H-1990-THEORETICAL-ATOMIC-P
GALLAGHER TF-1988-REP-PROG-PHYS-V51-P143
GANGYOPADHYAY RS-1985-PHYS-REV-D-V32-P3312
GARSTANG RH-1977-REP-PROG-PHYS-V40-P105
GAY JC-1991-AT-MOL-PHYS-V25-P185
GAY JC-1985-ATOMIC-EXCITATION-RE
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GERMANN TC-1995-PHYS-REV-LETT-V74-P658
GOLDBERG J-1991-J-PHYS-A-MATH-GEN-V24-P2785
GOLDSCHMIDT YY-1993-NUCL-PHYS-B-V393-P507
GREENSTEIN JL-1982-ASTROPHYS-J-V252-P285
HASEGAWA H-1969-PHYSICS-SOLIDS-INTEN
HASEGAWA H-1989-PROG-THEOR-PHYS-SUPP-V98-P198
HEISS WD-1991-J-MATH-PHYS-V32-P3003
HEISS WD-1990-J-PHYS-A-MATH-GEN-V23-P1167
HERSCHBACH DR-1992-DIMENSIONAL-SCALING
HERZBERG G-1945-MOLECULAR-SPECTRA-MO-V2-P215
HULET RG-1983-PHYS-REV-LETT-V51-P1430
IU CH-1991-PHYS-REV-LETT-V66-P145
IU CH-1989-PHYS-REV-LETT-V63-P1133
KAIS S-1993-J-CHEM-PHYS-V99-P417
KAIS S-1993-J-PHYS-CHEM-US-V97-P2453
KLEPPNER D-1983-RYDBERG-STATES-ATOMS
KOTZE AA-1994-J-PHYS-A-MATH-GEN-V27-P3059
KVENTSEL GF-1981-PHYS-REV-A-V24-P2299
LANDAU L-1932-PHYSIK-Z-SOWJETUNION-V2-P46
LANDAU LD-1977-QUANTUM-MECH
LIANG J-1986-PHYS-REV-A-V33-P4437
MAIN J-1994-J-PHYS-B-AT-MOL-OPT-V27-P2835
MAIN J-1986-PHYS-REV-LETT-V56-P2594
MARCH NH-1985-J-MATH-PHYS-V26-P554
MARCH NH-1986-PHYS-REV-A-V34-P5106
MARCH NH-1984-PHYS-REV-A-V30-P2936
MAVROIDES JG-1972-OPTICAL-PROPERTIES-S
PARKER J-1986-PHYS-REV-LETT-V56-P716
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1990-PHYS-LETT-A-V149-P418
RAMDAS AK-1981-REP-PROG-PHYS-V44-P1297
ROBNIK M-1977-J-PHYS-A-V14-P105
RUDNICK J-1987-SCIENCE-V237-P384
SERGEEV AV-COMMUNICATION
SERRA P-1997-PHYS-REV-A-V55-P238
SINHAROY M-1984-J-PHYS-A-MATH-GEN-V17-PL687
SOLOVYOV EA-1981-ZH-EKSP-TEOR-FIZ+-V81-P1681
STANLEY HE-1968-PHYS-REV-V176-P718
STILLMAN GE-1971-SOLID-STATE-COMMUN-V9-P2245
SUKHATME UP-1986-PHYS-REV-D-V33-P1166
SUVERNEV AA-1997-CHEM-PHYS-LETT-V269-P177
TSIPIS CA-1996-NEW-METHODS-QUANTUM-V8
VALONE SM-1994-INT-J-QUANTUM-CHEM-V49-P591
WALKUP JR-UNPUB
WANG QL-1991-PHYS-REV-A-V44-P1874
WATANABE S-1991-PHYS-REV-LETT-V67-P3227
WELCH GR-1989-PHYS-REV-LETT-V62-P893
WINTGEN D-1986-J-PHYS-B-AT-MOL-OPT-V19-P1261
WUNNER G-1981-PHYS-LETT-A-V247-P374
WUNNER G-1980-PHYS-LETT-A-V79-P159
|
| Source item page count:
| 15
|
| Publication Date:
| DEC
|
| IDS No.:
| 145CD
|
| 29-char source abbrev:
| PHYS REV A
|
Record 8 of 74
|
|
| Author(s):
| Mur VD; Karnakov BM; Popov VS
|
| Title:
| Relativistic version of the imaginary-time formalism
|
| Source:
| JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 1998, Vol 87, Iss 3, pp 433-444
|
| No. cited references:
| 38
|
| Addresses:
| Mur VD, Moscow Engn Phys Inst, Moscow 115409, Russia.
Moscow Engn Phys Inst, Moscow 115409, Russia.
Inst Theoret & Expt Phys, Moscow 117218, Russia.
|
| KeywordsPlus:
| IONIZATION; FIELD
|
| Abstract:
| A relativistic version of the quasiclassical imaginary-time formalism is developed. It permits calculation of the tunneling probability of relativistic particles through potential barriers, including barriers lacking spherical symmetry. Application of the imaginary-time formalism to concrete problems calls for finding subbarrier trajectories which are solutions of the classical equations of motion, but with an imaginary time (and thus cannot be realized in classical mechanics). The ionization probability of an s level, whose binding energy can be of the order of the rest energy, under the action of electric and magnetic fields of different configuration is calculated using the imaginary-time formalism. Besides the exponential factor, the Coulomb and pre-exponential factors in the ionization probability are calculated. The Hamiltonian approach to the tunneling of relativistic particles is described briefly. Scrutiny of the ionization of heavy atoms by an electric field provides an additional argument against the existence of the "Unruh effect.'' (C) 1998 American Institute of Physics. [S1063-7761(98)00409-0].
|
| Cited references:
| AGAEV SS-1982-SOV-J-NUCL-PHYS+-V36-P599
ANDREEV SP-1985-JETP-LETT+-V42-P190
BARGMANN V-1959-PHYS-REV-LETTERS-V2-P435
BATYGIN VV-1964-PROBLEMS-ELECTRODYNA
BAZ AI-1969-SCATTERING-REACTIONS
BELINSKII VA-1998-JETP-LETT+-V67-P96
BIRRELL ND-1982-QUANTUM-FIELDS-CURVE
DAVIES PCW-1975-J-PHYS-A-MATH-GEN-V8-P609
DEMKOV YN-1964-ZH-EKSP-TEOR-FIZ-V47-P918
DRUKAREV GF-1971-ZH-EKSP-TEOR-FIZ-V61-P956
FULLING SA-1973-PHYS-REV-D-V7-P2850
GINZBURG VL-1987-USP-FIZ-NAUK+-V153-P633
GREINER W-1985-QUANTUM-ELECTRODYNAM
ITZYKSON C-1980-QUANTUM-FIELD-THEORY-V1
KARNAKOV BM-1997-JETP-LETT+-V65-P405
LANDAU LD-1975-CLASSICAL-THEORY-FIE
LANDAU LD-1977-QUANTUM-MECH-NONRELA
MARINOV MS-1977-FORTSCHR-PHYS-V25-P373
NIKISHOV AI-1988-SOV-PHYS-JETP-V67-P1313
PERELOMOV AM-1967-SOV-PHYS-JETP-V25-P336
PERELOMOV AM-1967-ZH-EKSP-TEOR-FIZ+-V24-P207
PIEPER W-1969-Z-PHYS-V218-P327
POPOV VS-1970-JETP-LETT-V11-P162
POPOV VS-1997-JETP-LETT+-V66-P229
POPOV VS-1996-JETP-LETT+-V63-P417
POPOV VS-1997-PHYS-LETT-A-V229-P306
POPOV VS-1971-SOV-J-NUCL-PHYS-V12-P235
POPOV VS-1998-SOV-PHYS-JETP-V86-P860
POPOV VS-1967-ZH-EKSP-TEO-V53-P331
POPOV VS-1971-ZH-EKSP-TEOR-FIZ+-V61-P1334
RADTSIG AA-1986-PARAMETERS-ATOMS-ATO
RINDLER W-1966-AM-J-PHYS-V34-P1174
SCHWINGER J-1951-PHYS-REV-V82-P664
SMYTHE WR-1950-STATIC-DYNAMIC-ELECT
UNRUH WG-1976-PHYS-REV-D-V14-P870
VANYASHIN VS-1965-SOV-PHYS-JETP-V21-P375
ZELDOVICH YB-1986-JETP-LETT-V43-P523
ZELDOVICH YB-1971-USP-FIZ-NAUK-V105-P403
|
| Source item page count:
| 12
|
| Publication Date:
| SEP
|
| IDS No.:
| 129EK
|
| 29-char source abbrev:
| J EXP THEOR PHYS
|
Record 9 of 74
|
|
| Author(s):
| Slobodenyuk VA
|
| Title:
| Potentials with convergent Schwinger-DeWitt expansion
|
| Source:
| INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 1998, Vol 37, Iss 6, pp 1753-1771
|
| No. cited references:
| 22
|
| Addresses:
| Slobodenyuk VA, Ulyanovsk State Univ, Phys Tech Dept, Ulyanovsk 432700, Russia.
Ulyanovsk State Univ, Phys Tech Dept, Ulyanovsk 432700, Russia.
|
| KeywordsPlus:
| EVOLUTION OPERATOR KERNEL; PERTURBATION-THEORY; BEHAVIOR; SERIES
|
| Abstract:
| Convergence of the Schwinger-DeWitt expansion for the evolution operator kernel for special class of potentials is studied. It is shown that this expansion, which is in the general case asymptotic, converges for the potentials considered (widely used, in particular, in one-dimensional many-body problems), and that convergence takes place only for definite discrete values of the coupling constant. For other values of the charge, a divergent expansion determines the kernels having essential singularity at the origin (beyond the usual delta-function). If one considers only this class of potentials, then one can avoid many problems connected with asymptotic expansions, and one gets a theory with discrete values of the coupling constant that is in correspondence with the discreteness of charge in nature. This approach can be applied to quantum field theory.
|
| Cited references:
| BARVINSKY AO-1995-J-MATH-PHYS-V36-P30
BENDER CM-1971-PHYS-REV-D-V7-P1620
BENDER CM-1969-PHYSICAL-REVIEW-V184-P1231
BENDER CM-1971-PHYSICAL-REVIEW-LETT-V27-P461
CALOGERO F-1975-LETT-NUOVO-CIMENTO-V13-P383
DEWITT BS-1965-DYNAMICAL-THEORY-GRO
DEWITT BS-1975-PHYS-REP-C-V19-P297
HALLIDAY IG-1980-PHYS-REV-D-V21-P1529
KAZAKOV DI-1980-FORTSCHR-PHYS-V28-P465
LIPATOV LN-1977-ZH-EKSP-TEOR-FIZ+-V72-P411
OLSHANETSKY AO-1983-PHYS-REP-V94-P315
OSBORN TA-1983-J-MATH-PHYS-V24-P1093
POPOV VS-1992-ZH-EKSP-TEOR-FIZ+-V102-P1453
SCHWINGER J-1951-PHYS-REV-V82-P64
SISSAKIAN AN-1992-Z-PHYS-C-PART-FIELDS-V54-P263
SLOBODENYUK VA-1996-MOD-PHYS-LETT-A-V11-P1729
SLOBODENYUK VA-1996-THEOR-MATH-PHYS+-V109-P1302
SLOBODENYUK VA-1995-THEOR-MATH-PHYS+-V105-P1387
SLOBODENYUK VA-1993-Z-PHYS-C-PART-FIELDS-V58-P575
SUTHERLAND B-1972-PHYS-REV-A-V5-P1372
SUTHERLAND B-1971-PHYS-REV-A-V4-P2019
USHVERIDZE AG-1983-YAD-FIZ-V38-P798
|
| Source item page count:
| 19
|
| Publication Date:
| JUN
|
| IDS No.:
| 117RB
|
| 29-char source abbrev:
| INT J THEOR PHYS
|
Record 10 of 74
|
|
| Author(s):
| Popov VS; Karnakov BM; Mur VD
|
| Title:
| Ionization of atoms in electric and magnetic fields and the imaginary time method
|
| Source:
| JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 1998, Vol 86, Iss 5, pp 860-874
|
| No. cited references:
| 56
|
| Addresses:
| Popov VS, Inst Theoret & Expt Phys, Moscow 117259, Russia.
Inst Theoret & Expt Phys, Moscow 117259, Russia.
Tech Univ, Moscow Engn Phys Inst, Moscow 115409, Russia.
|
| KeywordsPlus:
| ORDER PERTURBATION-THEORY; HYDROGEN-ATOM; STARK RESONANCES; RYDBERG ATOMS; 1/N-EXPANSION
|
| Abstract:
| A semiclassical theory is developed for the ionization of atoms and negative ions in constant, uniform electric and magnetic fields, including the Coulomb interaction between the electron and the atomic core during tunneling. The case of crossed fields (Lorentz ionization) is examined specially, as well as the limit of a strong magnetic field. Analytic equations are derived for arbitrary fields E and H that are weak compared to the characteristic intraatomic fields. The major results of this paper are obtained using the ''imaginary time" method (ITM), in which tunneling is described using the classical equations of motion but with purely imaginary "time." The possibility of generalizing the ITM to the relativistic case, as well as to states with nonzero angular momentum, is pointed out. (C) 1998 American Institute of Physics. [S1063-7761(98)00405-3].
|
| Cited references:
| ALLILUEV SP-1979-PHYS-LETT-A-V73-P103
ALLILUEV SP-1982-SOV-PHYS-JETP-V55-P46
ALLILUEV SP-1993-ZH-EKSP-TEOR-FIZ+-V104-P3569
ANDREEV SP-1985-JETP-LETT+-V42-P190
ANDREEV SP-1983-JETP-LETT+-V37-P187
ANDREEV SP-1984-SOV-PHYS-JETP-V59-P506
ANDREEV SP-1985-TEOR-MAT-FIZ-V64-P287
BEKENSTEIN JD-1969-PHYS-REV-V188-P130
CHU MC-1984-PHYS-REV-A-V29-P675
DAMBURG RJ-1976-J-PHYS-B-AT-MOL-OPT-V9-P3149
DAVYDOV AS-1988-SOLID-STATE-THEORY
DEMKOV YN-1988-ZERO-RANGE-POTENTIAL
DEMKOV YN-1964-ZH-EKSP-TEOR-FIZ-V47-P918
DEMKOV YN-1969-ZHETF-V57-P1431
DRUKAREV GF-1971-SOV-PHYS-JETP-V34-P509
FERNANDEZ FM-1996-PHYS-REV-A-V54-P1206
FEYNMAN RP-1965-QUANTUM-MECH-PATH-IN
FRANCESCHINI V-1985-PHYS-REV-A-V32-P1338
GORKOV LP-1967-SOV-PHYS-JETP-V26-P449
HERSCHBACH DR-1993-DIMENSIONAL-SCALING
JOHNSON BR-1983-PHYS-REV-LETT-V51-P2280
KARNAKOV BM-1997-JETP-LETT+-V65-P405
KELDYSH LV-1964-ZH-EKSP-TEOR-FIZ+-V20-P1307
KOTOVA LP-1968-SOV-PHYS-JETP-V27-P616
LANDAU LD-1988-CLASSICAL-THEORY-FIE
LANDAU LD-1974-QUANTUM-MECH-NONRELA
LISITSA VS-1987-USP-FIZ-NAUK+-V153-P379
MAGARILL LI-1971-SOV-PHYS-JETP-V33-P97
MAIN J-1994-J-PHYS-B-AT-MOL-OPT-V27-P2835
MANAKOV NL-1986-ZH-EKSP-TEOR-FIZ+-V91-P404
MELEZHIK VS-1993-PHYS-REV-A-V48-P4528
NIKISHOV AI-1967-ZH-EKSP-TEO-V52-P223
NIKISHOV AI-1966-ZH-EKSP-TEOR-FIZ-V50-P255
PERELOMOV AM-1967-SOV-PHYS-JETP-V25-P336
PERELOMOV AM-1966-SOV-PHYS-JETP-V24-P207
PERELOMOV AM-1966-ZH-EKSP-TEOR-FIZ+-V23-P924
POPOV VS-1997-JETP-LETT+-V66-P229
POPOV VS-1996-JETP-LETT+-V63-P417
POPOV VS-1997-PHYS-LETT-A-V229-P306
POPOV VS-1993-PHYS-LETT-A-V173-P63
POPOV VS-1990-PHYS-LETT-A-V149-P418
POPOV VS-1990-PHYS-LETT-A-V149-P425
POPOV VS-1987-PHYS-LETT-A-V124-P77
POPOV VS-1967-ZH-EKSP-TEO-V53-P331
RADTSIG AA-1968-PARAMETERS-ATOMS-ATO
RAPOPORT LP-1978-THEORY-MANY-PHOTON-P
SEIPP I-1997-ASTRON-ASTROPHYS-V318-P990
SILVERSTONE HJ-1978-PHYS-REV-A-V18-P1853
SMIRNOV BM-1965-SOV-PHYS-JETP-V22-P585
SOLOVEV EA-1983-ZH-EKSP-TEOR-FIZ+-V85-P109
TSIPIS CA-1996-NEW-METHODS-QUANTUM
VAIBERG VM-1990-SOV-PHYS-JETP-V71-P470
VAINBERG VM-1986-JETP-LETT+-V44-P9
WANG JH-1995-PHYS-REV-A-V52-P4508
YAMABE T-1977-PHYS-REV-A-V16-P877
ZON BA-1971-SOV-PHYS-JETP-V34-P515
|
| Source item page count:
| 15
|
| Publication Date:
| MAY
|
| IDS No.:
| 107XQ
|
| 29-char source abbrev:
| J EXP THEOR PHYS
|
Record 11 of 74
|
|
| Author(s):
| Huang SW; Goodson DZ; Lopez-Cabrera M; Germann TC
|
| Title:
| Large-order dimensional perturbation theory for diatomic molecules within the Born-Oppenheimer approximation
|
| Source:
| PHYSICAL REVIEW A 1998, Vol 58, Iss 1, pp 250-257
|
| No. cited references:
| 50
|
| Addresses:
| Huang SW, So Methodist Univ, Dept Chem, Dallas, TX 75275 USA.
So Methodist Univ, Dept Chem, Dallas, TX 75275 USA.
Harvard Univ, Dept Chem, Cambridge, MA 02138 USA.
Univ Calif Los Alamos Natl Lab, Theoret Div T11, Los Alamos, NM 87545 USA.
|
| KeywordsPlus:
| GROUND-STATE ENERGY; VARIABLE DIMENSIONALITY; 1/D EXPANSION; LIMIT; SERIES; ATOMS; H-2+; H2+; RENORMALIZATION; 1/N-EXPANSION
|
| Abstract:
| A renormalization of the D-dimensional Hamiltonian is developed to ensure that the large-D limit corresponds to a single well at any value of the internuclear distance R. This avoids convergence problems caused by a symmetry-breaking transition that is otherwise expected to occur when R is approximately equal to the equilibrium bond distance R-eq, With larger R giving a double well. This symmetry breaking has restricted the applicability of large-order perturbation theory in 1/D to cases where R is significantly less than R-eq. The renormalization greatly extends the range of R for which the large-order expansion can be summed. A numerical demonstration is presented for H-2(+). The 1/D expansions are summed using Pade-Borel approximants with modifications that explicitly model known singularity structure.
|
| Cited references:
| ARTECA GA-1990-LARGE-ORDER-PERTURBA-P126
ATAG S-1988-PHYS-REV-A-V37-P2280
AUSTIN EJ-1984-J-PHYS-A-MATH-GEN-V17-P367
BELOV AA-1990-ZH-EKSP-TEOR-FIZ+-V98-P25
BLEIL R-1995-J-CHEM-PHYS-V103-P6529
CIZEK J-1985-INT-J-QUANTUM-CHEM-S-V20-P65
COHEN JM-1996-INT-J-QUANTUM-CHEM-V59-P445
COULSON CA-1961-VALENCE
DARBOUX MG-1878-J-MATH-V4-P377
DUNN M-1994-J-CHEM-PHYS-V101-P5987
DYSON FJ-1952-PHYS-REV-V85-P631
ELOUT MO-IN-PRESS-J-MATH-PHYS
FEINBERG MJ-1971-J-CHEM-PHYS-V54-P1495
FRANTZ DD-1988-CHEM-PHYS-V126-P59
FRANTZ DD-1990-J-CHEM-PHYS-V92-P6668
FRANTZ DD-1989-PHYS-REV-A-V40-P1175
FRNTZ DD-QCMP071-IND-U-DEP-CH
FROST AA-1956-J-CHEM-PHYS-V25-P1150
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GOODSON DZ-1993-DIMENSIONAL-SCALING-P115
GOODSON DZ-1993-DIMENSIONAL-SCALING-P275
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1997-PHYS-REV-A-V55-P4155
GOODSON DZ-1992-PHYS-REV-A-V46-P5428
HERRICK DR-1975-J-MATH-PHYS-V16-P281
HERRICK DR-1975-PHYS-REV-A-V11-P42
HERSCHBACH DR-1993-DIMENSIONAL-SCALING-P61
HERSCHBACH DR-1996-INT-J-QUANTUM-CHEM-V57-P295
HERSCHBACH DR-1988-Z-PHYS-D-ATOM-MOL-CL-V10-P195
KAIS S-1992-CHEM-PHYS-V161-P393
KAIS S-1991-J-CHEM-PHYS-V95-P9028
KAIS S-1994-J-PHYS-CHEM-US-V98-P11015
KILLINGBECK J-1981-J-PHYS-A-MATH-GEN-V14-P1005
LOESER JG-1996-NEW-METHODS-QUANTUM-P1
LOPEZ MM-1991-THESIS-U-MICHIGAN-P88
LOPEZCABRERA M-1993-J-PHYS-CHEM-US-V97-P2467
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
MLODINOW LD-1982-PROGR-PARTICLE-NUCL-V8-P387
MUR VD-1990-ZH-EKSP-TEOR-FIZ+-V97-P32
NINHAM BW-1963-J-MATH-PHYS-V4-P679
PAULING L-1935-INTRO-QUANTUM-MECH
POPOV VS-1994-PHYS-LETT-A-V193-P165
ROSEN N-1931-PHYS-REV-V38-P2099
ROST JM-1992-J-PHYS-CHEM-US-V97-P2461
SUNG SM-1992-J-PHYS-CHEM-US-V97-P2479
TELLER E-1970-PHYSICAL-CHEM-ADV-TR-V5-P35
VINETTE F-1991-J-MATH-PHYS-V32-P3392
WATSON DK-1995-PHYS-REV-A-V51-PR5
WENIGER EJ-1993-J-MATH-PHYS-V34-P571
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
|
| Source item page count:
| 8
|
| Publication Date:
| JUL
|
| IDS No.:
| ZZ998
|
| 29-char source abbrev:
| PHYS REV A
|
Record 12 of 74
|
|
| Author(s):
| Vainberg VM; Gani VA; Kudryavtsev AE
|
| Title:
| High-order perturbation theory for the hydrogen atom in a magnetic field
|
| Source:
| JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 1998, Vol 86, Iss 2, pp 305-311
|
| No. cited references:
| 27
|
| Addresses:
| Vainberg VM, Inst Theoret & Expt Phys, Moscow 117259, Russia.
Inst Theoret & Expt Phys, Moscow 117259, Russia.
|
| Abstract:
| The states of a hydrogen atom with principal quantum numbers n less than or equal to 3 in a constant uniform magnetic field H are studied. Coefficients in the expansion of the energy of these states in powers of H-2 up to the 75th order are obtained. Series for the energies of the states and the wave functions are summed to values of H on the order of the atomic magnetic field. A generalization of the moment method upon which these calculations are based can be used in other cases in which a hydrogen atom is perturbed by a potential with a polynomial dependence on the coordinates. (C) 1998 American Institute of Physics.
|
| Cited references:
| ADAMS BG-1980-PHYS-REV-A-V21-P1914
ADER JP-1983-PHYS-LETT-A-V97-P178
AHARONOV Y-1980-PHYS-REV-A-V22-P328
AHARONOV Y-1979-PHYS-REV-A-V20-P2245
ALLILUEV SP-1979-PHYS-LETT-A-V73-P103
ALLILUEV SP-1982-ZH-EKSP-TEOR-FIZ+-V82-P77
AVRON JE-1981-ANN-PHYS-NEW-YORK-V131-P73
BENDER CM-1982-PHYS-REV-A-V25-P1305
BENDER CM-1973-PHYS-REV-D-V7-P1620
CABIB D-1972-NUOVO-CIMENTO-B-V10-P185
CIZEK J-1982-INT-J-QUANTUM-CHEM-V21-P27
DOLGOV AD-1979-PHYS-LETT-B-V86-P185
ELETSKII VL-1980-DOKL-AKAD-NAUK-SSSR+-V250-P74
GALINDO A-1976-NUOVO-CIMENTO-B-V34-P155
GOODSON DZ-1987-PHYS-REV-LETT-V58-P1628
JOHNSON BR-1983-PHYS-REV-LETT-V51-P2280
KILLINGBECK J-1978-PHYS-LETT-A-V65-P87
LISITSA VS-1987-USP-FIZ-NAUK+-V153-P379
PEKAR VS-1971-TEOR-MAT-FIZ-V9-P140
POLIKANOV VS-1967-ZH-EKSP-TEOR-FIZ+-V25-P882
POPOV VS-1996-JETP-LETT+-V63-P417
PRIVMAN V-1980-PHYS-REV-A-V22-P1833
SVENSON RJ-1972-J-CHEM-PHYS-V57-P1734
TURBINER AV-1982-Z-PHYS-A-HADRON-NUCL-V308-P111
TURBINER AV-1983-ZH-EKSP-TEOR-FIZ+-V84-P1329
WANG JH-1995-PHYS-REV-A-V52-P4508
ZIMAN J-1971-MODERN-QUANTUM-THEOR-PCH3
|
| Source item page count:
| 7
|
| Publication Date:
| FEB
|
| IDS No.:
| ZD541
|
| 29-char source abbrev:
| J EXP THEOR PHYS
|
Record 13 of 74
|
|
| Author(s):
| Slobodenyuk VA
|
| Title:
| Convergence of the Schwinger-DeWitt expansion for some potentials
|
| Source:
| INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 1998, Vol 37, Iss 1, pp 563-569
|
| No. cited references:
| 13
|
| Addresses:
| Slobodenyuk VA, Ulyanovsk State Univ, Dept Tech Phys, Ulyanovsk 432700, Russia.
Ulyanovsk State Univ, Dept Tech Phys, Ulyanovsk 432700, Russia.
|
| KeywordsPlus:
| EVOLUTION OPERATOR KERNEL
|
| Abstract:
| The time dependence of the evolution operator kernel for the Schrodinger equation has been studied with a help of the Schwinger-D-Witt expansion. For many of potentials this expansion is divergent. But there are nontrivial potentials for which the Schwinger-DeWitt expansion is convergent. These are, e.g., V = g/x(2), V = g/cosh(2)x, V = g/sinh(2)x, V = g/sin(2)x. For all of them the expansion is convergent when g = lambda(lambda - 1)/2 and lambda is integer. The theories with these potentials have no divergences and in this sense they are "good" potentials, in contrast to other ones. So it seems natural to pay special attention to these "good" potentials. Besides convergence, they have another interesting feature: convergence takes place only for discrete values of the charge g. Hence, in the theories of this class the charge is quantized.
|
| Cited references:
| BARVINSKY AO-1995-J-MATH-PHYS-V36-P30
BENDER CM-1969-PHYSICAL-REVIEW-V184-P1231
DEWITT BS-1965-DYNAMICAL-THEORY-GRO
DEWITT BS-1975-PHYS-REP-C-V19-P297
LIPATOV LN-1977-ZH-EKSP-TEOR-FIZ+-V72-P411
OSBORN TA-1983-J-MATH-PHYS-V24-P1093
POPOV VS-1992-ZH-EKSP-TEOR-FIZ+-V102-P1453
SCHWINGER J-1951-PHYS-REV-V82-P664
SLOBODENYUK VA-1995-9570-IHEP
SLOBODENYUK VA-1996-IN-PRESS-THEORETICAL-V109
SLOBODENYUK VA-1996-MOD-PHYS-LETT-A-V11-P1729
SLOBODENYUK VA-1995-THEOR-MATH-PHYS+-V105-P1387
SLOBODENYUK VA-1993-Z-PHYS-C-PART-FIELDS-V58-P575
|
| Source item page count:
| 7
|
| Publication Date:
| JAN
|
| IDS No.:
| ZD912
|
| 29-char source abbrev:
| INT J THEOR PHYS
|
Record 14 of 74
|
|
| Author(s):
| Slobodenyuk VA
|
| Title:
| On convergence of the Schwinger-De Witt expansion
|
| Source:
| MODERN PHYSICS LETTERS A 1997, Vol 12, Iss 37, pp 2889-2903
|
| No. cited references:
| 14
|
| Addresses:
| Slobodenyuk VA, IN Ulyanov State Univ, Dept Tech Phys, L Tostogo Str 42, Ulyanovsk 432700, Russia.
IN Ulyanov State Univ, Dept Tech Phys, Ulyanovsk 432700, Russia.
|
| KeywordsPlus:
| EVOLUTION OPERATOR KERNEL
|
| Abstract:
| The Schwinger-De Witt expansion for the evolution operator kernel of the Schrodinger equation is studied for convergence. It is established that divergence of this expansion which is usually implied for all continuous potentials, excluding those of the form V(q) = aq(2) + bq + c, takes place only if the coupling constant g is treated as an independent variable. But the expansion may be convergent for some kinds of potentials and for some discrete values of charge, if the latter is considered as fixed parameter. Class of such potentials is interesting because inside it the property of discreteness of the charge in nature is reproduced in theory in the natural way.
|
| Cited references:
| BARVINSKY AO-1995-J-MATH-PHYS-V36-P30
BENDER CM-1969-PHYSICAL-REVIEW-V184-P1231
DEWITT BS-1965-DYNAMICAL-THEORY-GRO
DEWITT BS-1975-PHYS-REP-C-V19-P297
LIPATOV LN-1977-ZH-EKSP-TEOR-FIZ+-V72-P411
MARTIN A-1986-PHYS-REP-V134-P305
OSBORN TA-1983-J-MATH-PHYS-V24-P1093
POPOV VS-1992-ZH-EKSP-TEOR-FIZ+-V102-P1453
SCHWINGER J-1951-PHYS-REV-V82-P664
SLOBODENYUK VA-1995-9570-IHEP
SLOBODENYUK VA-1996-MOD-PHYS-LETT-A-V11-P1729
SLOBODENYUK VA-1996-THEOR-MATH-PHYS+-V109-P1302
SLOBODENYUK VA-1995-THEOR-MATH-PHYS+-V105-P1387
SLOBODENYUK VA-1993-Z-PHYS-C-PART-FIELDS-V58-P575
|
| Source item page count:
| 15
|
| Publication Date:
| DEC 7
|
| IDS No.:
| YM362
|
| 29-char source abbrev:
| MOD PHYS LETT A
|
Record 15 of 74
|
|
| Author(s):
| Popov VS; Mur VD; Karnakov BM
|
| Title:
| The imaginary-time method for relativistic problems
|
| Source:
| JETP LETTERS 1997, Vol 66, Iss 4, pp 229-235
|
| No. cited references:
| 17
|
| Addresses:
| Popov VS, INST THEORET & EXPT PHYS, MOSCOW 117218, RUSSIA.
MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
|
| Abstract:
| A relativistic version of the imaginary-time method is presented. The method is used to calculate the probability w of ionization of a bound state by electric and magnetic fields of various configurations (including the case when the binding energy E-b is comparable to mc(2)). The formulas cover as limiting cases both the ionization of nonrelativistic bound systems (atoms and ions) and the case E-b=2mC(2), when w equals the probability of electron-positron pair production from the vacuum in the presence of a strong field. (C) 1997 American Institute of Physics.
|
| Cited references:
| ANDREEV SP-1985-JETP-LETT+-V42-P190
BARGMANN V-1959-PHYS-REV-LETTERS-V2-P435
DEMKOV YN-1965-SOVIET-PHYSICS-JETP-V20-P614
GREINER W-1985-QUANTUM-ELECTRODYNAM
KARNAKOV BM-1997-JETP-LETT+-V65-P405
LANDAU LD-1988-CLASSICAL-THEORY-FIE
LANDAU LD-1974-QUANTUM-MECHANICS
MARINOV MS-1972-SOV-J-NUCL-PHYS+-V15-P702
PERELOMOV AM-1967-ZH-EKSP-TEOR-FIZ+-V24-P207
PIEPER W-1969-Z-PHYS-V218-P327
POPOV VS-1996-JETP-LETT+-V63-P417
POPOV VS-1997-PHYS-LETT-A-V225
POPOV VS-1972-SOV-J-NUCL-PHYS-V14-P673
POPOV VS-1968-SOV-PHYS-JETP-V26-P222
SCHWINGER J-1951-PHYS-REV-V82-P664
SCHWINGER J-1964-QUANTUM-ELECTRODYNAM
ZELDOVICH YB-1970-SOV-PHYS-USP-V12-P235
|
| Source item page count:
| 7
|
| Publication Date:
| AUG 25
|
| IDS No.:
| XY034
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 16 of 74
|
|
| Author(s):
| Suvernev AA; Goodson DZ
|
| Title:
| Dimensional perturbation theory for vibration-rotation spectra of linear triatomic molecules
|
| Source:
| JOURNAL OF CHEMICAL PHYSICS 1997, Vol 107, Iss 11, pp 4099-4111
|
| No. cited references:
| 70
|
| Addresses:
| Suvernev AA, SO METHODIST UNIV, DEPT CHEM, DALLAS, TX 75275.
|
| KeywordsPlus:
| EXCITED ROVIBRATIONAL STATES; LARGE-ORDER; SCHRODINGER-EQUATION; QUANTUM-MECHANICS; FLOPPY MOLECULES; 2-ELECTRON ATOMS; 1/N EXPANSION; EIGENVALUES; ENERGIES; OSCILLATORS
|
| Abstract:
| A very efficient large-order perturbation theory is formulated for the nuclear motion of a linear triatomic molecule. All coupling between vibration and rotation is included. To demonstrate the method, all of the experimentally observed rotational energies, with values of J almost up to 100, for the ground and first excited vibrational states of CO2 and for the ground vibrational states of N2O and of OCS are calculated. The perturbation expansions reported here are rapidly convergent. The perturbation parameter is D-1/2, where D is the dimensionality of space. Increasing D is qualitatively similar to increasing the angular momentum quantum number J. Therefore, this approach is especially suited for states with high rotational excitation. The computational cost of the method scales only in proportion to JN(nu)(5/3), where N-nu is the size of the vibrational basis set. (C) 1997 American Institute of Physics.
|
| Cited references:
| ALLEN HC-1963-MOL-VIB-ROTORS-P51
BACIC Z-1989-ANNU-REV-PHYS-CHEM-V40-P469
BELOV AA-1990-SOV-PHYS-JETP-V71-P12
BELOV AA-1988-SOV-PHYS-JETP-V67-P2413
BENDER CM-1978-ADV-MATH-METHODS-SCI-P89
BENDER CM-1973-PHYS-REV-D-V7-P1620
BOWMAN JM-1991-J-CHEM-PHYS-V94-P454
BOWMAN JM-1978-J-CHEM-PHYS-V68-P608
CARNEY GD-1978-ADV-CHEM-PHYS-V37-P305
CARTER S-1983-MOL-PHYS-V49-P745
CHANG J-1986-J-CHEM-PHYS-V84-P4997
CHATTERJEE A-1990-PHYS-REP-V186-P249
CHEDIN A-1979-J-MOL-SPECTROSC-V76-P430
CHEN CL-1985-J-CHEM-PHYS-V83-P1795
CIZEK J-1993-J-CHEM-PHYS-V99-P7331
COHEN JM-1996-INT-J-QUANTUM-CHEM-V59-P445
DUNN M-1996-ANN-PHYS-NEW-YORK-V251-P266
DUNN M-1996-J-CHEM-PHYS-V104-P9870
DUNN M-1994-J-CHEM-PHYS-V101-P5987
EDMONDS AR-1957-ANGULAR-MOMENTUM-QUA-P62
ESTES D-1986-MOL-PHYS-V59-P569
FRANTZ DD-1988-CHEM-PHYS-V126-P59
GERBER RB-1988-ADV-CHEM-PHYS-V70-P97
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GONZALEZ A-1993-J-PHYS-B-AT-MOL-OPT-V26-P1253
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1997-PHYS-REV-A-V55-P4155
GOODSON DZ-1993-PHYS-REV-A-V48-P2668
GOODSON DZ-1992-PHYS-REV-A-V46-P5428
HANDY NC-1987-MOL-PHYS-V61-P207
HERRICK DR-1975-PHYS-REV-A-V11-P42
HERSCHBACH DR-1993-DIMENSIONAL-SCALING
HERSCHBACH DR-1993-DIMENSIONAL-SCALING-P61
HERSCHBACH DR-1996-INT-J-QUANTUM-CHEM-V57-P295
HERZBERG G-1966-MOL-SPECTRA-MOL-STRU-V2-P276
HUCKEL W-1950-STRUCTURAL-CHEM-INOR-V1-P432
KAIS S-1993-J-CHEM-PHYS-V98-P3990
KAIS S-1996-NEW-METHODS-QUANTUM-P55
KILLINGBECK J-1981-J-PHYS-A-MATH-GEN-V14-P1005
KIVELSON D-1952-J-CHEM-PHYS-V20-P1575
LOESER JG-1987-J-CHEM-PHYS-V86-P5635
LOESER JG-1996-NEW-METHODS-QUANTUM-P33
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
LOUCK J-1960-J-MOL-SPECTROSC-V3-P673
MLODINOW LD-1984-J-MATH-PHYS-V25-P943
MLODINOW LD-1982-PROGR-PARTICLE-NUCL-V8-P387
MORALES DA-1989-CHEM-PHYS-LETT-V161-P253
NAUTS A-1984-PHYS-REV-A-V30-P872
NIELSEN HH-1951-REV-MOD-PHYS-V23-P90
PAPOUSEK D-1982-MOL-VIBRATIONAL-ROTA-P57
PARLETT BN-1980-SYMMETRIC-EIGENVALUE-P119
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1992-SOV-PHYS-JETP-V75-P787
ROTHMAN LS-1992-J-QUANT-SPECTROSC-RA-V48-P469
SIBERT EL-1988-J-CHEM-PHYS-V88-P4378
SUTCLIFFE BT-1982-CURRENT-ASPECTS-QUAN-P99
SUVERNEV AA-1997-CHEM-PHYS-LETT-V269-P177
SUVERNEV AA-1997-J-CHEM-PHYS-V106-P2681
TENNYSON J-1989-J-CHEM-PHYS-V91-P3815
TENNYSON J-1986-MOL-PHYS-V58-P1067
TENNYSON J-1990-PHILOS-T-ROY-SOC-A-V332-P329
TOWNES CH-1955-MICROWAVE-SPECTROSCO-P624
TSIPIS CA-1996-NEW-METHODS-QUANTUM
VAINBERG VM-1986-JETP-LETT+-V44-P9
VAINBERG VM-1988-THEOR-MATH-PHYS+-V74-P269
VARSHALOVICH DA-1988-QUANTUM-THEORY-ANGUL-PCH4
WATSON DK-1995-PHYS-REV-A-V51-PR5
WILSON EB-1936-J-CHEM-PHYS-V4-P262
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
|
| Source item page count:
| 13
|
| Publication Date:
| SEP 15
|
| IDS No.:
| XW119
|
| 29-char source abbrev:
| J CHEM PHYS
|
Record 17 of 74
|
|
| Author(s):
| Perrot F; Grimaldi A
|
| Title:
| Linear response of a magnetized electron gas: Application to the thermodynamics of aluminium
|
| Source:
| JOURNAL OF PHYSICS-CONDENSED MATTER 1997, Vol 9, Iss 32, pp 6845-6867
|
| No. cited references:
| 68
|
| Addresses:
| Perrot F, CEA, CTR ETUD LIMEIL VALENTON, F-94195 VILLENEUVE ST GEO, FRANCE.
|
| KeywordsPlus:
| DENSITY-FUNCTIONAL THEORY; GROUND-STATE ENERGIES; HYDROGEN-ATOM; THOMAS-FERMI; ARBITRARY STRENGTH; EXCITED-STATES; LANDAU STATES; FIELD; SYSTEMS; TRANSITIONS
|
| Abstract:
| We first consider the three independent functions that describe the linear response to external perturbations of a non-interacting strongly magnetized electron gas. These functions are needed to build the interacting response to an external perturbation, even if it is purely scalar. The interacting response function is obtained in the local density approximation for the exchange and correlation energy functional E-xc(1)(n, omega). It is singular when the non-interacting Fermi level coincides with a Landau band edge. In addition, the numerical study of the effective local-field factor shows that the response function can also have poles in a region of densities and magnetic fields approximately defined by: r(s) > 3.5 and 0.3 greater than or equal to B/B-0 greater than or equal to 0.1, where B-0 is the reference magnetic held (1 atomic unit = 2.35 x 10(9) Gauss). Outside this region, we use the linear response theory applied to a model electron-ion interaction for an estimate of the equation of state of solid aluminium in the presence of strong magnetic fields up to B = B-0. The densities are in the range 0.8-1.5 times the normal density. The results show the importance of the changes induced by the magnetic field, in particular those associated with the localization of the charge density.
|
| Cited references:
| AMOVILLI C-1991-PHYS-REV-A-V43-P2528
BALLA K-1996-J-PHYS-A-MATH-GEN-V29-P6747
BANERJEE B-1974-PHYS-REV-D-V10-P2384
BARCZA S-1996-J-PHYS-A-MATH-GEN-V29-P6765
BEZCHASTNOV VG-1995-J-PHYS-B-AT-MOL-OPT-V28-P167
BEZCHASTNOV VG-1994-J-PHYS-B-AT-MOL-OPT-V27-P3349
BOEBINGER G-1996-PHYSICS-TODAY-JUN-P36
BOEBINGER G-1996-PHYSICS-TODAY-OCT-P11
BYLICKI M-1994-J-PHYS-B-AT-MOL-OPT-V27-P2741
CHAKRABORTY T-1992-COMMENTS-CONDENS-MAT-V16-P35
CHEN ZH-1992-PHYS-REV-A-V45-P1722
CHIU KW-1974-PHYS-REV-B-V9-P4724
CHUU DS-1993-PHYS-REV-A-V48-P4175
DELANDE D-1991-PHYS-REV-LETT-V66-P141
FELBER FS-1988-PHYS-FLUIDS-V31-P2053
GLASSER ML-1972-ANN-PHYS-NEW-YORK-V73-P1
GLASSER ML-1983-PHYS-REV-B-V28-P4387
GLOSSMAN MD-1988-J-PHYS-B-AT-MOL-OPT-V21-P411
GRADSHTEYN IS-1965-TABLES-INTEGRALS-SER
GRAYCE CJ-1994-PHYS-REV-A-V50-P3089
GREENE MP-1969-PHYS-REV-V177-P1019
HEINE V-1964-PHIL-MAG-V9-P451
HEINE V-1965-PHILOSOPHICAL-MAG-V12-P529
JONES MD-1996-PHYS-REV-A-V54-P219
JONES W-1971-J-PHYS-C-V4-P1322
KADOMTSEV BB-1970-ZH-EKSP-TEOR-FIZ+-V31-P945
KAPPES U-1995-PHYS-REV-A-V51-P4542
KASTNER MA-1992-REV-MOD-PHYS-V64-P849
KRAVCHENKO YP-1996-PHYS-REV-A-V54-P287
KRAVCHENKO YP-1996-PHYS-REV-LETT-V77-P619
LAI D-1996-PHYS-REV-A-V53-P152
LANDAU LD-1980-COURSE-THEORETICAL-P
LANDAU LD-1959-QUANTUM-MECHANICS
LEHMANN H-1995-PURE-APPL-CHEM-V67-P457
LEVIN FS-1985-PHYS-REV-A-V32-P3285
LI S-1990-PHYS-REV-A-V41-P2344
LIBERMAN MA-1994-MEGAGAUSS-MAGNETIC-F-P271
LIBERMAN MA-1994-MEGAGAUSS-MAGNETIC-F-P281
LIBERMAN MA-1995-SOV-PHYS-USP-V38-P117
LIEB EH-1992-PHYS-REV-LETT-V69-P749
MIURA N-1994-MEGAGAUSS-MAGNETIC-F-P125
MUELLER RO-1971-PHYS-REV-LETT-V26-P1136
MUSTAFA O-1994-PHYS-REV-A-V50-P2926
NEUHAUSER D-1987-PHYS-REV-A-V36-P4163
NOZIERES P-1966-THEORY-QUANTUM-LIQUI
ORTIZ G-1995-PHYS-REV-A-V52-PR3405
PAVLOV GG-1995-ASTROPHYS-J-V450-P883
PERROT F-1995-J-PHYS-CONDENS-MATT-V7-P654
POPOV VS-1996-JETP-LETT+-V63-P417
PRANGE RE-1990-QUANTUM-HALL-EFFECT
RELOVSKY BM-1995-INT-J-QUANTUM-CHEM-V56-P825
RELOVSKY BM-1996-PHYS-REV-A-V53-P4068
RUDER H-1994-ATOMS-STRONG-MAGNETI
SAINI S-1987-PHYS-REV-A-V36-P3556
SHERTZER J-1989-PHYS-REV-A-V39-P3833
SKJERVOLD JE-1984-PHYS-SCRIPTA-V29-P448
SKUDLARSKI P-1993-PHYS-REV-B-V48-P8547
SKUDLARSKI P-1992-PHYS-REV-LETT-V69-P949
THURNER G-1993-J-PHYS-B-AT-MOL-OPT-V26-P4719
TOMISHIMA Y-1982-J-PHYS-B-AT-MOL-OPT-V15-P2837
TOMISHIMA Y-1979-PROG-THEOR-PHYS-V62-P853
TOMISHIMA Y-1978-PROG-THEOR-PHYS-V59-P683
VIGNALE G-1992-PHYS-REV-B-V46-P10232
VIGNALE G-1988-PHYS-REV-B-V37-P10685
WANG JH-1995-PHYS-REV-A-V52-P4508
WUNNER G-1987-PHYS-SCRIPTA-V36-P291
YONEI K-1990-J-PHYS-SOC-JPN-V59-P3571
ZANG JX-1994-PHYS-REV-A-V50-P861
|
| Source item page count:
| 23
|
| Publication Date:
| AUG 11
|
| IDS No.:
| XQ903
|
| 29-char source abbrev:
| J PHYS-CONDENS MATTER
|
Record 18 of 74
|
|
| Author(s):
| Preobrazhenskii MA
|
| Title:
| Exact nonrelativistic expressions for the tensor for scattering of light by atoms
|
| Source:
| JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS 1997, Vol 84, Iss 3, pp 448-456
|
| No. cited references:
| 22
|
| Addresses:
| Preobrazhenskii MA, VORENEZH STATE ACAD ARCHITECTURE & CIVIL ENGN, VORONEZH 394000, RUSSIA.
|
| Abstract:
| Exact nonrelativistic analytical expressions are derived for dipole two-photon transitions between arbitrary multiplets of the hydrogen atom and positive hydrogenlike ions. The result is expressed in terms of a single Gauss hypergeometric function and polynomials whose degrees increase linearly with the number of nodes of the bound states of the quantum system. The cross sections of elastic scattering of light by K- and L-shells of the hydrogen atom are given as an example. It is demonstrated that by expanding the discrete-spectrum wave functions in ultraspherical polynomials it is also possible to obtain analytical expressions of the cross sections of two-photon transitions between states described by the Simons model potential. The basis consisting of Chebyshev polynomials is shown to be the best expansion basis, and the coefficients of such an expansion are given for a broad range of parameters of the problem. Calculation of the polarizability of the SS-state of the rubidium atom is chosen as an example. Finally, the results are compared with the experimental data and the theoretical results of other researchers. (C) 1997 American Institute of Physics. (C) 1997 American Institute of Physics.
|
| Cited references:
| AKHIEZER AI-1974-QUANTUM-ELECTRODYNAM
AMUSYA MY-1973-SOV-PHYS-JETP-V36-P468
BEIGMAN IL-1994-PHYS-REV-A-V49-P5883
BERGMAN IL-1991-SOV-PHYS-JETP-V73-P68
BONIN KD-1993-PHYS-REV-A-V47-P999
DELONE NB-1982-SOV-PHYS-JETP-V56-P1170
EPSTEIN IR-1970-J-CHEM-PHYS-V53-P1881
ERDELYI A-1953-HIGHER-TRANSCENDENTA
GAVRILA M-1967-PHYS-REV-V163-P147
KELLY HP-1969-PHYS-REV-V182-P84
LANCZOS C-1956-APPLIED-ANAL
MANAKOV NL-1976-J-PHYS-B-ATOM-MOL-PH-V10-P569
MANAKOV NL-1989-SOV-PHYS-JETP-V68-P451
MARINESCU M-1994-PHYS-REV-A-V49-P5103
MOORE CE-1950-488-NBS
PREOBRAZHENSKII MA-1993-LASER-PHYS-V3-P688
PREOBRAZHENSKII MA-1994-OPT-SPECTROSC-V77-P494
RAPOPORT LP-1978-THEORY-MULTIPHOTON-P
RITUS VT-1967-ZH-EKSP-TEOR-FIZ+-V24-P1041
SOBELMAN II-1973-INTRO-THEORY-ATOMIC
VAINBERG VM-1986-JETP-LETT+-V44-P9
YAKHONTOV VL-1966-EUR-C-ABSTR-P74
|
| Source item page count:
| 9
|
| Publication Date:
| MAR
|
| IDS No.:
| XH056
|
| 29-char source abbrev:
| J EXP THEOR PHYS
|
Record 19 of 74
|
|
| Author(s):
| Ivanov IA
|
| Title:
| Stark effect in hydrogen: Reconstruction of the complex ground-state energy from the coefficients of an asymptotic perturbation expansion
|
| Source:
| PHYSICAL REVIEW A 1997, Vol 56, Iss 1, pp 202-207
|
| No. cited references:
| 36
|
| Addresses:
| Ivanov IA, RUSSIAN ACAD SCI, INST SPECT, TROITSK 142092, MOSCOW REGION, RUSSIA.
|
| KeywordsPlus:
| RAYLEIGH-RITZ FORMALISM; ELECTRIC-FIELD; ATOMIC-HYDROGEN; RESONANCES; IONIZATION; EIGENVALUES; SERIES; REAL; PHOTOIONIZATION; APPROXIMANTS
|
| Abstract:
| We consider the Stark effect for the ground state of hydrogen. Using the Borel summability of the Rayleigh-Schrodinger perturbation expansion we sum it about the pure imaginary field strength E = iF, F is real. As a result we obtain the series converging for small values of F. We give arguments that this series converges for all positive finite values of F. The series obtained can be continued analytically back to the real field strength region. This method allows one to obtain accurate results for the hydrogenic Stark resonances with slight computational effort.
|
| Cited references:
| ALEXANDER MH-1969-PHYS-REV-V178-P34
ALVAREZ G-1994-PHYS-REV-A-V50-P4679
ALVAREZ G-1991-PHYS-REV-A-V44-P3060
BENASSI L-1980-J-PHYS-B-AT-MOL-OPT-V13-P911
BENASSI L-1979-PHYS-REV-LETT-V42-P704
BERGEMAN T-1984-PHYS-REV-LETT-V53-P775
BRANDAS E-1977-PHYS-REV-A-V16-P2207
CALICETI E-1993-COMMUN-MATH-PHYS-V157-P347
CALICETI E-1986-COMMUN-MATH-PHYS-V104-P163
DAMBURG RJ-1976-J-PHYS-B-AT-MOL-OPT-V9-P3149
FERNANDEZ FM-1996-PHYS-REV-A-V54-P1206
FIKHTENGOLTS GM-1992-LEKTCII-DIFFERENTCIA
FRANCESCHINI V-1985-PHYS-REV-A-V32-P1338
GRADSHTEYN IS-1965-TABLES-INTEGRALS-SER
GRAFFI S-1978-COMMUN-MATH-PHYS-V62-P83
HEHENBERM-1974-PHYS-REV-A-V10-P1494
HERBST IW-1978-PHYS-REV-LETT-V41-P67
HIRSCHFELDER JO-1971-J-CHEM-PHYS-V55-P1395
LOEFFEL JJ-1990-LARGE-ORDER-BEH-PERT-P524
MAQUET A-1983-PHYS-REV-A-V27-P2946
POPOV VS-1990-PHYS-LETT-A-V149-P418
PRIVMAN V-1980-PHYS-REV-A-V22-P1833
PRUDNIKOV AP-1981-INTEGRALY-RYADY
REINHARDT WP-1982-INT-J-QUANTUM-CHEM-V21-P133
REINHARDT WP-1976-INT-J-QUANTUM-CHEM-S-V10-P359
ROTTKE H-1986-PHYS-REV-A-V33-P301
SIEGERT AFJ-1939-PHYS-REV-V56-P750
SILVERMAN JN-1988-CHEM-PHYS-LETT-V153-P61
SILVERMAN JN-1986-CHEM-PHYS-LETT-V128-P466
SILVERMAN JN-1988-PHYS-REV-A-V37-P1208
SILVERSTONE HJ-1986-INT-J-QUANTUM-CHEM-V29-P261
SILVERSTONE HJ-1979-PHYS-REV-LETT-V43-P1498
SIMON B-1973-ANN-MATH-V97-P247
STEBBINGS RF-1976-SCIENCE-V193-P537
TELNOV DA-1989-J-PHYS-B-AT-MOL-OPT-V22-PL399
TITCHMARSH EC-1958-EIGENFUNCTION-EXPANS
|
| Source item page count:
| 6
|
| Publication Date:
| JUL
|
| IDS No.:
| XL645
|
| 29-char source abbrev:
| PHYS REV A
|
Record 20 of 74
|
|
| Author(s):
| Goodson DZ
|
| Title:
| Self-consistent-field perturbation theory for the Schrodinger equation
|
| Source:
| PHYSICAL REVIEW A 1997, Vol 55, Iss 6, pp 4155-4163
|
| No. cited references:
| 57
|
| Addresses:
| Goodson DZ, SO METHODIST UNIV, DEPT CHEM, DALLAS, TX 75275.
|
| KeywordsPlus:
| LARGE-DIMENSION LIMIT; COMPLEX ENERGY EIGENVALUES; QUANTUM-MECHANICS; 2-ELECTRON ATOMS; COORDINATE SEPARATION; EXCITED-STATES; SYSTEMS; EXPANSION; HELIUM
|
| Abstract:
| A method is developed for using large-order perturbation theory to solve the systems of coupled differential equations that result from the variational solution of the Schrodinger equation with wave functions of product form. This is a noniterative, computationally efficient way to solve self-consistent-field (SCF) equations. Possible applications include electronic structure calculations using products of functions of collective coordinates that include electron correlation, vibrational SCF calculations for coupled anharmonic oscillators with selective coupling of normal modes, and ab initio calculations of molecular vibration spectra without the Born-Oppenheimer approximation.
|
| Cited references:
| AVERY J-1991-THEOR-CHIM-ACTA-V81-P1
BOWMAN JM-1986-ACCOUNTS-CHEM-RES-V19-P202
CARNEY GD-1988-J-CHEM-SOC-FARAD-T-2-V84-P1277
CHATTERJEE A-1990-PHYS-REP-V186-P249
CHRISTOFFEL KM-1982-CHEM-PHYS-LETT-V85-P220
CIZEK J-1993-J-CHEM-PHYS-V99-P7331
COHEN JM-1996-INT-J-QUANTUM-CHEM-V59-P445
DOREN DJ-1986-PHYS-REV-A-V34-P2654
DUNN M-1996-J-CHEM-PHYS-V104-P9870
DUNN M-1994-J-CHEM-PHYS-V101-P5987
ELOUT MO-UNPUB
FARRELLY D-1994-CHEM-PHYS-LETT-V217-P520
FARRELLY D-1986-J-CHEM-PHYS-V84-P6285
FOCK V-1930-Z-PHYSIK-V61-P126
FRANTZ DD-1988-CHEM-PHYS-V126-P59
GERBER RB-1988-ADV-CHEM-PHYS-V70-P97
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GERMANN TC-1995-THESIS-HARVARD-U
GOODSON DZ-1993-DIMENSIONAL-SCALING-P359
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1987-J-CHEM-PHYS-V86-P4997
GOODSON DZ-1996-NEW-METHODS-QUANTUM-P71
GOODSON DZ-1993-PHYS-REV-A-V48-P2668
GOODSON DZ-1992-PHYS-REV-A-V46-P5428
GOSCINSKI O-1986-INT-J-QUANTUM-CHEM-V29-P897
HARTREE DR-1928-P-CAMBRIDGE-PHIL-SOC-V24-P89
HARTREE DR-1928-P-CAMBRIDGE-PHIL-SOC-V24-P111
HERSCHBACH DR-1993-DIMENSIONAL-SCALING-P61
HERSCHBACH DR-1996-INT-J-QUANTUM-CHEM-V57-P295
HERSCHBACH DR-1986-J-CHEM-PHYS-V84-P838
HERSCHBACH DR-1988-Z-PHYS-D-ATOM-MOL-CL-V10-P195
HERZBERG G-1945-MOL-SPECTRA-MOL-STRU-P109
LIN CD-1974-PHYS-REV-A-V10-P1986
LOESER JG-1987-J-CHEM-PHYS-V86-P5635
LOESER JG-1996-NEW-METHODS-QUANTUM-P1
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
MACEK J-1968-J-PHYSICS-B-V1-P831
MLODINOW LD-1980-ANN-PHYS-NEW-YORK-V128-P314
MLODINOW LD-1982-PROGR-PARTICLE-NUCL-V8-P387
MUJICA V-1987-CHEM-PHYS-V112-P159
MUR VD-1990-SOV-PHYS-JETP-V70-P16
POPOV VS-1994-PHYS-LETT-A-V193-P165
SERGEEV AV-1989-SOV-J-NUCL-PHYS+-V50-P589
SERGEEV AV-UNPUB
SERGEV AV-IN-PRESS-INT-J-QUANT
SLATER JC-1930-PHYS-REV-V35-P210
SLATER JC-1929-PHYS-REV-V34-P1293
SLATER JC-1960-QUANTUM-THEORY-ATOMI-V1-P219
SUVERNEV AA-IN-PRESS-CHEM-PHYS-L
SUVERNEV AA-1997-J-CHEM-PHYS-V106-P2681
TAN AL-1993-DIMENSIOAL-SCALING-C-P230
TOBIN FL-1980-CHEM-PHYS-V47-P151
TRAYNOR CA-1993-J-PHYS-CHEM-US-V97-P2464
VANDERMERWE PD-1988-PHYS-REV-A-V38-P1187
WATSON DK-1995-PHYS-REV-A-V51-PR5
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
|
| Source item page count:
| 9
|
| Publication Date:
| JUN
|
| IDS No.:
| XE372
|
| 29-char source abbrev:
| PHYS REV A
|
Record 21 of 74
|
|
| Author(s):
| Popov VS; Karnakov BM; Mur VD
|
| Title:
| Quasiclassical theory of atomic ionization in electric and magnetic fields
|
| Source:
| PHYSICS LETTERS A 1997, Vol 229, Iss 5, pp 306-312
|
| No. cited references:
| 44
|
| Addresses:
| Popov VS, INST THEORET & EXPT PHYS, RU-117259 MOSCOW, RUSSIA.
MOSCOW STATE PHYS ENGN INST, RU-115409 MOSCOW, RUSSIA.
|
| Author Keywords:
| ionization of atoms; quasiclassics; imaginary time method
|
| KeywordsPlus:
| ORDER PERTURBATION-THEORY; HYDROGEN-ATOM; MULTIDIMENSIONAL PROBLEMS; RYDBERG ATOMS; 1/N-EXPANSION; THRESHOLD
|
| Abstract:
| Using the ''imaginary time'' method we have calculated (in the quasiclassical approximation) the probability of ionization of the atomic s-state in static electric and magnetic fields. The Coulomb interaction between the emitted electron and the atomic remainder is taken into account. The results obtained are valid for external fields E and H which are smaller than characteristic atomic fields. The case of mutually orthogonal fields (the Lorentz ionization) is carefully studied. (C) 1997 Elsevier Science B.V.
|
| Cited references:
| ANDREEV SP-1985-PISMA-ESKP-TEOR-FIZ-V42-P154
ANDREYEV SP-1984-ZH-EKSP-TEOR-FIZ+-V86-P866
BEKENSTEIN JD-1969-PHYS-REV-V188-P130
CHU MC-1984-PHYS-REV-A-V29-P675
CHU MC-1983-PHYS-REV-A-V28-P1423
DAMBURG RJ-1978-J-PHYS-B-AT-MOL-OPT-V11-P1921
DAMBURG RJ-1976-J-PHYS-B-AT-MOL-OPT-V9-P3149
DEMKOV YN-1964-ZH-EKSP-TEOR-FIZ-V47-P918
DRUKAREV GF-1971-ZH-EKSP-TEOR-FIZ-V61-P956
FRANCESCHINI V-1985-PHYS-REV-A-V32-P1338
GORKOV LP-1967-ZH-EKSP-TEO-V53-P717
JOHNSON BR-1983-PHYS-REV-LETT-V51-P2280
KELDYSH LV-1964-ZH-EKSP-TEOR-FIZ-V47-P1945
KOLOSOV VV-1989-J-PHYS-B-AT-MOL-OPT-V22-P833
KOTOVA LP-1968-ZH-EKSP-TEOR-FIZ-V54-P1151
LANDAU LD-1977-QUANTUM-MECHANICS
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
MAGARILL LI-1971-ZH-EKSP-TEOR-FIZ-V60-P175
MAIN J-1994-J-PHYS-B-AT-MOL-OPT-V27-P2835
MANAKOV NL-1986-ZH-EKSP-TEOR-FIZ+-V91-P404
MELEZHIK VS-1993-PHYS-REV-A-V48-P4528
NIKISHOV AI-1967-ZH-EKSP-TEO-V52-P223
NIKISHOV AI-1966-ZH-EKSP-TEOR-FIZ-V50-P255
PERELOMOV AM-1966-ZH-EKSP-TEO-V51-P309
PERELOMOV AM-1966-ZH-EKSP-TEOR-FIZ+-V50-P1393
PERELOMOV AM-1967-ZHETF-V52-P514
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1993-PHYS-LETT-A-V172-P193
POPOV VS-1990-PHYS-LETT-A-V149-P418
POPOV VS-1990-PHYS-LETT-A-V149-P425
POPOV VS-1987-PHYS-LETT-A-V124-P77
POPOV VS-1967-ZH-EKSP-TEO-V53-P331
POPOV VS-1994-ZH-EKSP-TEOR-FIZ+-V105-P568
POPOV VS-1992-ZH-EKSP-TEOR-FIZ+-V102-P1453
SEIPP I-1996-J-PHYS-B-AT-MOL-OPT-V29-P1
SMIRNOV BM-1965-ZHETF-V49-P841
SOLOVEV EA-1983-ZH-EKSP-TEOR-FIZ+-V85-P109
TURBINER AV-1989-ZH-EKSP-TEOR-FIZ+-V95-P1152
TURBINER AV-1983-ZH-EKSP-TEOR-FIZ+-V84-P1329
WEINBERG VM-1987-JETP-LETT+-V46-P178
WEINBERG VM-1986-PISMA-ZH-EKSP-TEOR-F-V44-P9
WEINBERG VM-1990-ZH-EKSP-TEOR-FIZ-V98-P847
WEINBERG VM-1987-ZH-EKSP-TEOR-FIZ+-V93-P450
YAMABE T-1977-PHYS-REV-A-V16-P877
|
| Source item page count:
| 7
|
| Publication Date:
| MAY 26
|
| IDS No.:
| XA531
|
| 29-char source abbrev:
| PHYS LETT A
|
Record 22 of 74
|
|
| Author(s):
| Karnakov BM; Mur VD; Popov VS
|
| Title:
| Contribution to the theory of Lorentzian ionization
|
| Source:
| JETP LETTERS 1997, Vol 65, Iss 5, pp 405-411
|
| No. cited references:
| 13
|
| Addresses:
| Karnakov BM, TECH UNIV, MOSCOW ENGN PHYS INST, MOSCOW 115409, RUSSIA.
INST THEORET & EXPT PHYS, MOSCOW 117259, RUSSIA.
|
| Abstract:
| The probability w(L) of Lorentzian ionization, which arises when an atom or ion moves in a constant magnetic held, is calculated in the quasiclassical approximation. The nonrelativistic (upsilon less than or similar to e(2)/(h) over bar = 1, upsilon is the velocity of the atom) and ultrarelativistic (upsilon --> c = 137) cases are examined and the stabilization factor S, which takes account of the effect of the magnetic field on tunneling of an electron, is found. (C) 1997 American Institute of Physics.
|
| Cited references:
| BITTER D-1965-SCI-AM-V213-P65
DELONE NB-1985-ATOMS-STRONG-LIGHT-F
GREINER W-1985-QUANTUM-ELECTRODYNAM
KELDYSH LV-1965-ZH-EKSP-TEOR-FIZ+-V20-P1307
KOTOVA LP-1968-SOV-PHYS-JETP-V27-P616
PAVLOVSKII AI-1995-SCI-WORKS-P85
PERELOMOV AM-1967-ZH-EKSP-TEOR-FIZ+-V24-P207
PERELOMOV AM-1966-ZH-EKSP-TEOR-FIZ+-V23-P924
POPOV VS-1996-JETP-LETT+-V63-P417
SAKHAROV AD-1995-SCI-WORKS
SAKHAROV AD-1966-SOV-PHYS-DOKL-V10-P1045
SCHWINGER J-1951-PHYS-REV-V82-P664
ZELDOVICH YB-1972-SOV-PHYS-USP-V14-P673
|
| Source item page count:
| 7
|
| Publication Date:
| MAR 10
|
| IDS No.:
| WT775
|
| 29-char source abbrev:
| JETP LETT-ENGL TR
|
Record 23 of 74
|
|
| Author(s):
| Rao JG; Li BW
|
| Title:
| Theoretical calculations of Rydberg stark effect of hydrogen atom
|
| Source:
| COMMUNICATIONS IN THEORETICAL PHYSICS 1997, Vol 27, Iss 1, pp 9-14
|
| No. cited references:
| 13
|
| Addresses:
| Rao JG, CHINESE ACAD SCI, LAB MAGNET RESONANCE & ATOM & MOL PHYS, WUHAN 430071, PEOPLES R CHINA.
CHINESE ACAD SCI, WUHAN INST PHYS, WUHAN 430071, PEOPLES R CHINA.
CCAST, WORLD LAB, BEIJING 100080, PEOPLES R CHINA.
|
| KeywordsPlus:
| B-SPLINE APPROACH; MAGNETIC-FIELD; PHOTOIONIZATION; SPECTRUM; STATES
|
| Abstract:
| The Stark shifts and widths of the highly excited states near the classical ionization threshold of a hydrogen atom are calculated by the B spline technique plus complex scaling method. The Lanczos method has been used in our calculations and is proved to be powerful. Our results are in agreement with the experimental results and theoretical ones obtained by other methods. The method can also be used to calculate the same problem for atoms in parallel and cross electric and magnetic fields.
|
| Cited references:
| DEBOOR C-1978-PRACTICAL-GUIDE-SPLI
DELANDE D-1991-PHYS-REV-LETT-V66-P141
ERICSSON T-1980-MATH-COMPUT-V35-P1251
FISHER CF-1990-J-COMPUT-PHYS-V90-P489
GLAB WL-1985-PHYS-REV-A-V31-P3677
HARMIN DA-1982-PHYS-REV-LETT-V49-P128
JOHNSON WR-1988-PHYS-REV-A-V37-P307
LIU WY-1993-PHYS-REV-A-V47-P3151
NG K-1987-PHYS-REV-A-V35-P2508
POPOV VS-1990-PHYS-LETT-A-V149-P418
RAO JG-1994-PHYS-REV-A-V50-P1916
REHARDT WP-1982-ANNU-REV-PHYS-CHEM-V33-P223
XI JH-1992-PHYS-REV-A-V46-P3151
|
| Source item page count:
| 6
|
| Publication Date:
| JAN 30
|
| IDS No.:
| WP252
|
| 29-char source abbrev:
| COMMUN THEOR PHYS
|
Record 24 of 74
|
|
| Author(s):
| Suvernev AA; Goodson DZ
|
| Title:
| Perturbation theory for coupled anharmonic oscillators
|
| Source:
| JOURNAL OF CHEMICAL PHYSICS 1997, Vol 106, Iss 7, pp 2681-2684
|
| No. cited references:
| 24
|
| Addresses:
| Suvernev AA, SO METHODIST UNIV, DEPT CHEM, DALLAS, TX 75275.
|
| KeywordsPlus:
| BOUND-STATES; EIGENVALUES; MOLECULES; QUANTIZATION; VIBRATIONS; EXPANSION; EQUATION; DYNAMICS
|
| Abstract:
| Perturbation theory is applied to a pair of coupled oscillators with cubic anharmonicity. Large-order perturbation theory is shown to be more efficient computationally than numerical diagonalization of the Hamiltonian. Quadratic Pade summation of the energy expansions yields convergent results for the real and the imaginary parts of resonance eigenvalues. (C) 1997 American Institute of Physics.
|
| Cited references:
| ACTON FS-1970-NUMERICAL-METHODS-WO-P332
BACIC Z-1989-ANNU-REV-PHYS-CHEM-V40-P469
BAKER GA-1996-PADE-APPROXIMANTS-1
BOWMAN JM-1991-J-CHEM-PHYS-V94-P454
CHANG J-1986-J-CHEM-PHYS-V84-P4997
DAVIS MJ-1981-J-CHEM-PHYS-V75-P246
DUNN M-IN-PRESS-J-CHEM-PHYS
DUNN M-1994-J-CHEM-PHYS-V101-P5987
EASTES W-1974-J-CHEM-PHYS-V61-P4301
FORD J-1973-ADV-CHEM-PHYS-V24-P155
FRIED LE-1989-J-CHEM-PHYS-V90-P6378
FRIED LE-1987-J-CHEM-PHYS-V86-P6270
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GOODSON DZ-1988-CHEM-PHYS-LETT-V151-P557
HIRSCHFELDER JO-1964-ADVAN-QUANTUM-CHEM-V1-P255
JAFFE C-1982-J-CHEM-PHYS-V77-P5191
KAIS S-1993-J-CHEM-PHYS-V98-P3990
LAWTON RT-1979-MOL-PHYS-V37-P1799
PARLETT BN-1980-SYMMETRIC-EIGENVALUE-P119
SHAFER RE-1972-SIAM-J-NUMER-ANAL-V11-P447
SIBERT EL-1988-J-CHEM-PHYS-V88-P4378
STEFANSKI K-1987-J-CHEM-PHYS-V87-P1079
VAINBERG VM-1986-JETP-LETT+-V44-P9
VAINBERG VM-1988-THEOR-MATH-PHYS+-V74-P269
|
| Source item page count:
| 4
|
| Publication Date:
| FEB 15
|
| IDS No.:
| WH024
|
| 29-char source abbrev:
| J CHEM PHYS
|
Record 25 of 74
|
|
| Author(s):
| Germann TC; Kais S
|
| Title:
| Dimensional perturbation theory for Regge poles
|
| Source:
| JOURNAL OF CHEMICAL PHYSICS 1997, Vol 106, Iss 2, pp 599-604
|
| No. cited references:
| 26
|
| Addresses:
| Germann TC, UNIV CALIF BERKELEY, DEPT CHEM, BERKELEY, CA 94720.
PURDUE UNIV, DEPT CHEM, W LAFAYETTE, IN 47907.
|
| KeywordsPlus:
| CIRCULAR RYDBERG STATES; SEMICLASSICAL CALCULATION; VARIABLE DIMENSIONALITY; 2-ELECTRON ATOMS; MAGNETIC-FIELD; QUANTUM; POSITIONS; RESIDUES; TRAJECTORIES; POTENTIALS
|
| Abstract:
| We apply dimensional perturbation theory to the calculation of Regge pole positions, providing a systematic improvement to earlier analytic first-order results. We consider the orbital angular momentum l as a function of spatial dimension D for a given energy E, and expand l in inverse powers of kappa=(D-1)/2. It is demonstrated for both bound and resonance states that the resulting perturbation series often converges quite rapidly, so that accurate quantum results can be obtained via simple analytic expressions given here through third order. For the quartic oscillator potential, the rapid convergence of the present l(D;E) series is in marked contrast with the divergence of the more traditional E(D;l) dimensional perturbation series, thus offering an attractive alternative for bound state problems. (C) 1997 American Institute of Physics.
|
| Cited references:
| BOSANAC S-1978-J-MATH-PHYS-V19-P789
CONNOR JNL-COMMUNICATION
CONNOR JNL-1990-J-CHEM-SOC-FARADAY-T-V86-P1627
CONNOR JNL-1979-J-PHYS-B-AT-MOL-OPT-V12-PL515
CONNOR JNL-1976-J-PHYS-B-AT-MOL-OPT-V9-P1783
DELOS JB-1975-PHYS-REV-A-V11-P210
DUNN M-1994-J-CHEM-PHYS-V101-P5987
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GERMANN TC-1995-J-PHYS-B-AT-MOL-OPT-V28-PL531
GERMANN TC-1995-PHYS-REV-LETT-V74-P658
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1993-PHYS-REV-A-V48-P2668
HERRICK DR-1975-J-MATH-PHYS-V16-P281
HERRICK DR-1975-PHYS-REV-A-V11-P42
KAIS S-1993-J-CHEM-PHYS-V98-P3990
KAIS S-1993-J-PHYS-CHEM-US-V97-P2453
KOBYLINSKY NA-1990-PHYS-LETT-B-V235-P182
PAJUNEN P-1988-J-CHEM-PHYS-V88-P4268
POPOV VS-1987-PHYS-LETT-A-V124-P77
SOKOLOVSKI D-1995-J-CHEM-PHYS-V103-P5979
SUKUMAR CV-1975-J-PHYS-B-AT-MOL-OPT-V8-P568
TAYLOR JR-1972-SCATTERING-THEORY-P302
THYLWE KE-1989-LECTURE-NOTES-PHYSIC-V325-P281
VAINBERG VM-1990-SOV-PHYS-JETP-V71-P470
VAINBERG VM-1988-THEOR-MATH-PHYS+-V74-P269
|
| Source item page count:
| 6
|
| Publication Date:
| JAN 8
|
| IDS No.:
| WB843
|
| 29-char source abbrev:
| J CHEM PHYS
|
Record 26 of 74
|
|
| Author(s):
| Dunn M; Watson DK
|
| Title:
| Continuation of the Schrodinger equation for higher angular-momentum states to D dimensions and interdimensional degeneracies
|
| Source:
| FEW-BODY SYSTEMS 1996, Vol 21, Iss 3-4, pp 187-209
|
| No. cited references:
| 151
|
| Addresses:
| Dunn M, UNIV OKLAHOMA, DEPT PHYS & ASTRON, NORMAN, OK 73019.
|
| KeywordsPlus:
| DOUBLY-EXCITED-STATES; MOLECULAR-ORBITAL DESCRIPTION; SHIFTED 1/N EXPANSION; HELIUM ISOELECTRONIC SEQUENCE; ROTATING MORSE OSCILLATOR; BARRIER STARK RESONANCES; QUASI-STATIONARY STATES; UNIFORM MAGNETIC-FIELD; WEAKLY-BOUND SYSTEMS; LARGE-N EXPANSIONS
|
| Abstract:
| The application of the techniques of dimensional scaling, and in particular the 1/D expansion, to higher angular-momentum states of multielectron atoms requires the generalized Euler angles, which multiply with increasing D to be ''factored out'' of the wave function. The factorization must be performed in a way that produces from the Schrodinger equation a tractable set of differential equations which admit continuation in the dimension D. In two recent works the authors have achieved the necessary factorization of the wave function by generalizing the Schwartz expansion to N electrons in D dimensions. The present paper applies the N-electron D-dimensional Schwartz expansion to the two-electron problem in D dimensions. The resulting set of coupled differential equations in the internal variables admit continuation in D, enabling the methods of dimensional scaling to be applied to higher-angular-momentum states. In addition, the coupled differential equations clearly show the complete spectrum of exact interdimensional degeneracies of the two-electron system.
|
| Cited references:
| ADER JP-1983-PHYS-LETT-A-V97-P178
ARTECA GA-1990-LARGE-ORDER-PERTURBA
ATAG S-1988-PHYS-REV-A-V37-P2280
AVERY J-1992-INT-J-QUANTUM-CHEM-V41-P673
AVERY J-1991-INT-J-QUANTUM-CHEM-V39-P657
AVERY J-1991-THEOR-CHIM-ACTA-V81-P1
BAG M-1990-J-PHYS-B-AT-MOL-OPT-V23-P3075
BAG M-1992-PHYS-REV-A-V46-P6059
BAKER JD-1990-PHYS-REV-A-V41-P1247
BENDER CM-1982-PHYS-REV-A-V25-P1305
BERLIN TH-1952-PHYS-REV-V86-P821
BERRY RS-1988-ADV-CHEM-PHYS-V70-P35
BERRY RS-1989-CONTEMP-PHYS-V30-P1
BOERNER H-1963-REPRESENTATIONS-GROU
BOLLE D-1984-PHYS-REV-A-V30-P1279
BOTTCHER C-1994-PHYS-REV-A-V49-P1714
BOYA LJ-1994-PHYS-REV-A-V50-P4397
CARZOLI JC-UNPUB
CASATI G-1996-QUANTUM-CHAOS-V119-P113
CHATTERJEE A-1990-PHYS-REP-V186-P249
CHISHOLM CDH-1976-GROUP-THEORETICAL-TE-PCH8
DIRAC PAM-1930-PRINCIPLES-QUANTUM-M
DOREN DJ-1985-CHEM-PHYS-LETT-V118-P115
DOREN DJ-1987-J-CHEM-PHYS-V87-P433
DOREN DJ-1986-J-CHEM-PHYS-V85-P4557
DOREN DJ-1988-J-PHYS-CHEM-US-V92-P1816
DUNN M-IN-PRESS-ANN-PHYS-NY
DUNN M-1994-J-CHEM-PHYS-V101-P5987
DUNN M-1990-J-PHYS-B-AT-MOL-OPT-V23-P2435
DUNN M-1993-J-PHYS-CHEM-US-V97-P2457
DUNN M-UNPUB-LARGE-DIMENSIO
DUNN M-UNPUB-ORIGIN-EXACT-I
EZRA GS-1991-J-PHYS-B-AT-MOL-OPT-V24-PL413
FEAGIN JM-1988-PHYS-REV-A-V37-P4599
FEAGIN JM-1986-PHYS-REV-LETT-V57-P984
FRANTZ DD-1988-CHEM-PHYS-V126-P59
FRANTZ DD-1990-J-CHEM-PHYS-V92-P6668
FRANTZ DD-1989-PHYS-REV-A-V40-P1175
GANGYOPADHYAY RS-1985-PHYS-REV-D-V32-P3312
GERMANN TC-1994-COMPUT-PHYS-V8-P712
GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
GERMANN TC-1995-PHYS-REV-LETT-V74-P658
GONZALEZ A-1991-FEW-BODY-SYST-V10-P43
GOODSON DZ-1993-DIMENSIONAL-SCALING-P275
GOODSON DZ-1993-DIMENSIONAL-SCALING-P359
GOODSON DZ-1992-J-CHEM-PHYS-V97-P8481
GOODSON DZ-1987-J-CHEM-PHYS-V86-P4997
GOODSON DZ-1993-PHYS-REV-A-V48-P2668
GOODSON DZ-1992-PHYS-REV-A-V46-P5428
GOODSON DZ-1991-PHYS-REV-A-V44-P97
GOODSON DZ-1987-PHYS-REV-LETT-V58-P1628
GOSCINSKI O-1986-INT-J-QUANTUM-CHEM-V29-P897
GRUJIC PV-1995-J-PHYS-B-AT-MOL-OPT-V28-P1159
HAMERMESH M-1989-GROUP-THEORY-ITS-APP-PCH10
HERRICK DR-1983-ADV-CHEM-PHYS-V52-P1
HERRICK DR-1975-J-MATH-PHYS-V16-P281
HERRICK DR-1975-J-MATH-PHYS-V16-P1047
HERRICK DR-1975-PHYS-REV-A-V11-P42
HERSCHBACH DR-1989-AT-PHYS-V11-P63
HERSCHBACH DR-1993-DIMENSIONAL-SCALING
HERSCHBACH DR-1993-DIMENSIONAL-SCALING-P25
HERSCHBACH DR-1986-J-CHEM-PHYS-V84-P838
HERSCHBACH DR-1989-P-WELSCH-FD-CHEM-RES-V32-P95
HERSCHBACH DR-1988-Z-PHYS-D-ATOM-MOL-CL-V10-P195
HERSHBACH DR-1987-FARADAY-DISC-CHEM-SO-V84-P465
INTHOOFT G-1980-NATO-ADV-STUDY-I-B-V59
KAIS S-1992-CHEM-PHYS-V161-P393
KAIS S-1994-INT-J-QUANTUM-CHEM-V49-P657
KAIS S-1994-J-CHEM-PHYS-V100-P4367
KAIS S-1993-J-CHEM-PHYS-V99-P417
KAIS S-1993-J-CHEM-PHYS-V99-P5184
KAIS S-1993-J-CHEM-PHYS-V98-P3990
KAIS S-1991-J-CHEM-PHYS-V95-P9028
KAIS S-1989-J-CHEM-PHYS-V91-P7791
KAIS S-1994-J-PHYS-CHEM-US-V98-P11015
KAIS S-1993-J-PHYS-CHEM-US-V97-P2453
KELLMAN ME-1994-PHYS-REV-LETT-V73-P2543
KELLMAN ME-1985-PHYS-REV-LETT-V55-P1738
KVENTSEL GF-1981-PHYS-REV-A-V24-P2299
LIN CD-1986-ADV-ATOM-MOL-PHYS-V22-P77
LIN CD-1995-PHYS-REP-V257-P1
LIN CD-1984-PHYS-REV-A-V29-P1019
LIN CD-1993-REV-FUNDAMENTAL-PROC-P357
LOESER JG-1994-J-CHEM-PHYS-V100-P5036
LOESER JG-1991-J-CHEM-PHYS-V95-P4525
LOESER JG-1987-J-CHEM-PHYS-V86-P2114
LOESER JG-1987-J-CHEM-PHYS-V86-P3512
LOESER JG-1987-J-CHEM-PHYS-V86-P5635
LOESER JG-1986-J-CHEM-PHYS-V84-P3882
LOESER JG-1986-J-CHEM-PHYS-V84-P3893
LOESER JG-1985-J-PHYS-CHEM-US-V89-P3444
LOPEZCABRERA M-1993-J-PHYS-CHEM-US-V97-P2467
LOPEZCABRERA M-1992-PHYS-REV-LETT-V68-P1992
MALUENDES SA-1986-PHYS-REV-D-V34-P1835
MARCH NH-1985-J-MATH-PHYS-V26-P554
MARCH NH-1986-PHYS-REV-A-V34-P5106
MARCH NH-1984-PHYS-REV-A-V30-P2936
MLODINOW LD-1981-ANN-PHYS-NEW-YORK-V131-P1
MLODINOW LD-1980-ANN-PHYS-NEW-YORK-V128-P314
MLODINOW LD-1984-J-MATH-PHYS-V25-P943
MORALES DA-1989-CHEM-PHYS-LETT-V161-P253
MULLER J-1992-PHYS-REV-A-V45-P1471
MUR VD-1990-SOV-PHYS-JETP-V70-P16
MUSTAFA O-1993-J-PHYS-CONDENS-MATT-V5-P1333
MUSTAFA O-1994-PHYS-REV-A-V50-P2926
POPOV VS-1994-JETP-LETT+-V59-P158
POPOV VS-1994-PHYS-LETT-A-V193-P159
POPOV VS-1994-PHYS-LETT-A-V193-P165
POPOV VS-1993-PHYS-LETT-A-V173-P63
POPOV VS-1993-PHYS-LETT-A-V172-P193
POPOV VS-1991-PHYS-LETT-A-V157-P185
POPOV VS-1990-PHYS-LETT-A-V149-P418
POPOV VS-1990-PHYS-LETT-A-V149-P425
POPOV VS-1987-PHYS-LETT-A-V124-P77
POPOV VS-1992-SOV-J-NUCL-PHYS-V54-P968
ROST JM-1991-J-PHYS-B-AT-MOL-OPT-V24-P2455
ROST JM-1991-J-PHYS-B-AT-MOL-OPT-V24-P4293
ROST JM-1993-J-PHYS-CHEM-US-V97-P2461
ROST JM-1992-PHYS-REV-A-V46-P2410
RUDNICK J-1987-SCIENCE-V237-P384
SCHULTZ DR-1994-PHYS-REV-A-V50-P1348
SCHWARTZ C-1961-PHYSICAL-REVIEW-V123-P1700
STANLEY HE-1968-PHYS-REV-V176-P718
STEPANOV SS-1991-SOV-PHYS-JETP-V73-P227
SUKHATME UP-1986-PHYS-REV-D-V33-P1166
SUNG SM-1993-J-PHYS-CHEM-US-V97-P2479
TRAYNOR CA-1993-J-PHYS-CHEM-US-V97-P2464
VAINBERG VM-1987-JETP-LETT+-V46-P225
VAINBERG VM-1986-JETP-LETT+-V44-P9
VAINBERG VM-1990-SOV-PHYS-JETP-V71-P470
VAINBERG VM-1988-THEOR-MATH-PHYS+-V74-P269
VAINBERG VM-1987-ZH-EKSP-TEOR-FIZ+-V66-P258
VALONE SM-1994-INT-J-QUANTUM-CHEM-V49-P591
VANDERMERWE PD-1985-J-CHEM-PHYS-V82-P5293
VANDERMERWE PD-1984-J-CHEM-PHYS-V81-P5976
VANDERMERWE PD-1989-PHYS-REV-A-V40-P1785
VANDERMERWE PD-1986-PHYS-REV-A-V34-P3452
VANDERMERWE PDT-1987-PHYS-REV-A-V36-P3446
VARSHNI YP-1993-CAN-J-PHYS-V71-P122
VARSHNI YP-1994-CHEM-PHYS-V188-P197
WATSON DK-1995-PHYS-REV-A-V51-PR5
WEYL H-1939-CLASSICAL-GROUPS
WILSON KG-1983-REV-MOD-PHYS-V55-P583
WINTGEN D-1992-CHAOS-V2-P19
WINTGEN D-1994-PROG-THEOR-PHYS-SUPP-V116-P121
WITTEN E-1980-PHYS-TODAY-V33-P38
YAFFE LG-1983-PHYS-TODAY-V36-P50
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
ZHEN Z-1993-DIMENSIONAL-SCALING-P83
ZHEN Z-1993-DIMENSIONAL-SCALING-P429
ZHENG Z-1993-DIMENSIONAL-SCALING-P230
|
| Source item page count:
| 23
|
| IDS No.:
| WC743
|
| 29-char source abbrev:
| FEW-BODY SYST
|
Record 27 of 74
|
|
| Author(s):
| Dunn M; Watson DK
|
| Title:
| Continuation of the wave function for higher angular momentum states to D dimensions .1. The generalized Schwartz expansion
|
| Source:
| ANNALS OF PHYSICS 1996, Vol 251, Iss 2, pp 266-318
|
| No. cited references:
| 311
|
| Addresses:
| Dunn M, UNIV OKLAHOMA, DEPT PHYS & ASTRON, NORMAN, OK 73019.
|
| KeywordsPlus:
| SHIFTED 1/N EXPANSION; LARGE-N-EXPANSION; DOUBLY-EXCITED-STATES; MOLECULAR-ORBITAL DESCRIPTION; KLEIN-GORDON EQUATION; INVERSE SCATTERING TRANSFORMATION; HELIUM ISOELECTRONIC SEQUENCE; ROTATING MORSE OSCILLATOR; BARRIER STARK RESONANCES; QUASI-STATIONARY STATES
|
| Abstract:
| Extending the techniques of dimensional scaling to higher angular momentum states of multi-electron atoms requires the derivation, from the Schrodinger equation, of a tractable set of differential equations which admit continuation in the spatial dimension D. This derivation centers on ''factoring out,'' in D dimensions, the rotational degrees of freedom from the internal degrees of freedom in the wave function. A solution to this problem, by generalizing thr Schwartz expansion (Schwartz, Phys. Rev. 123, 1700 (1961)) to N electrons in D dimensions, is presented. The generalization to systems with particles of arbitrary masses is straightforward. (C) 1996 Academic Press, Inc.
|
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GANGOPADHYAY RS-1984-PHYS-REV-A-V30-P594
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GERMANN TC-1993-J-CHEM-PHYS-V99-P7739
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GERRY CC-1983-PHYS-REV-D-V28-P1939
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IMBO TD-1987-PHYS-REV-D-V36-P3438
IMBO TD-1985-PHYS-REV-LETT-V54-P2184
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MUSTAFA O-1991-PHYS-REV-A-V43-P5787
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POPOV VS-1990-PHYS-LETT-A-V149-P418
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RAPOSO EP-1991-AM-J-PHYS-V59-P633
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ROBINSON GD-1961-REPRESENTATION-THEOR-V2
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ROST JM-1993-J-PHYS-CHEM-US-V97-P2461
ROST JM-1992-PHYS-REV-A-V46-P2410
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SCHWARTZ C-1961-PHYSICAL-REVIEW-V123-P1700
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SEVER R-1987-PHYS-REV-A-V36-P1045
SEVER R-1987-PHYS-REV-A-V35-P2725
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SHARMA NL-1986-J-MATH-PHYS-V27-P1618
SINHAROY M-1984-J-PHYS-A-MATH-GEN-V17-PL687
STANLEY HE-1968-PHYS-REV-V176-P718
STEPANOV SS-1991-SOV-PHYS-JETP-V73-P227
STOLL RR-1952-LINEAR-ALGEBRA-MATRI-P151
SUKHATME U-1983-PHYS-REV-D-V28-P418
SUKHATME UP-1986-PHYS-REV-D-V33-P1166
SUNG SM-1993-J-PHYS-CHEM-US-V97-P2479
TALMAN JD-1968-SPECIAL-FUNCTIONS-GR
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TANG AZ-1987-PHYS-REV-A-V35-P911
TOWNES CH-1955-MICROWAVE-SPECTROSCO-P300
TRAYNOR CA-1993-J-PHYS-CHEM-US-V97-P2464
VAINBERG VM-1987-JETP-LETT+-V46-P178
VAINBERG VM-1987-JETP-LETT+-V46-P225
VAINBERG VM-1986-JETP-LETT+-V44-P9
VAINBERG VM-1990-SOV-PHYS-JETP-V71-P470
VAINBERG VM-1988-THEOR-MATH-PHYS+-V74-P269
VAINBERG VM-1987-ZH-EKSP-TEOR-FIZ+-V66-P258
VALONE SM-1994-INT-J-QUANTUM-CHEM-V49-P591
VANDERMERWE PD-1985-J-CHEM-PHYS-V82-P5293
VANDERMERWE PD-1984-J-CHEM-PHYS-V81-P5976
VANDERMERWE PD-1989-PHYS-REV-A-V40-P1785
VANDERMERWE PD-1986-PHYS-REV-A-V34-P3452
VANDERMERWE PD-1986-PHYS-REV-D-V33-P3383
VANDERMERWE PD-1984-PHYS-REV-D-V30-P1596
VANDERMERWE PDT-1987-PHYS-REV-A-V36-P3446
VANDERMERWE PI-1983-LETT-NUOVO-CIMENTO-V37-P86
VARSHNI YP-1993-CAN-J-PHYS-V71-P122
VARSHNI YP-1994-CHEM-PHYS-V188-P197
VARSHNI YP-1989-PHYS-REV-A-V40-P2180
VARSHNI YP-1988-PHYS-REV-A-V38-P1595
VARSHNI YP-1987-PHYS-REV-A-V36-P3009
WATSON DK-1995-PHYS-REV-A-V51-PR5
WEISSBLUTH M-1978-ATOMS-MOL
WEN ZY-1985-J-MATH-PHYS-V26-P396
WEYL H-1939-CLASSICAL-GROUPS
WEYL H-1950-THEORY-GROUPS-QUANTU
WILSON KG-1983-REV-MOD-PHYS-V55-P583
WINTGEN D-1992-CHAOS-V2-P19
WINTGEN D-1994-PROG-THEOR-PHYS-SUPP-V116-P121
WITTEN E-1980-NATO-ADV-STUDY-I-S-B-V59
WITTEN E-1980-PHYS-TODAY-V33-P38
WOLBARST AB-1977-SYMMETRY-QUANTUM-SYS-P68
WYBOURNE BG-1974-CLASSICAL-GROUPS-PHY-PCH15
YAFFE LG-1983-PHYS-TODAY-V36-P50
YAFFE LG-1982-REV-MOD-PHYS-V54-P407
YANEZ RJ-1994-PHYS-REV-A-V50-P3065
ZENG GJ-1994-PHYS-REV-A-V50-P4373
ZHEN Z-1993-DIMENSIONAL-SCALING-P83
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| Source item page count:
| 53
|
| Publication Date:
| NOV 1
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| IDS No.:
| VR915
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| 29-char source abbrev:
| ANN PHYS N Y
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Record 28 of 74
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|
| Author(s):
| Dunn M; Watson DK
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| Title:
| Continuation of the wave function for higher angular momentum states to D dimensions .2. Elimination of linear dependencies
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| Source:
| ANNALS OF PHYSICS 1996, Vol 251, Iss 2, pp 319-336
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| No. cited references:
| 50
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| Addresses:
| Dunn M, UNIV OKLAHOMA, DEPT PHYS & ASTRON, NORMAN, OK 73019.
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| KeywordsPlus:
| MOLECULAR-ORBITAL DESCRIPTION; EXCITED 2-ELECTRON ATOMS; BARRIER STARK RESONANCES; PERTURBATION-THEORY; SCHRODINGER-EQUATION; VARIABLE DIMENSIONALITY; ELECTRONIC-STRUCTURE; QUANTUM-MECHANICS; HYDROGEN-ATOM; GROUND-STATE
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| Abstract:
| In a previous paper the authors have developed a finite expansion for the wave function which allows the methods of dimensional scaling to be applied to higher angular momentum states. The terms in the expansion, though, are not necessarily linearly independent and so the expansion requires a little refining. The sources of linear dependence in the expansion for the wave function are explored and protocols for dealing with them are p |