### Semiclassical self-consistent-field perturbation theory

for the hydrogen atom in a magnetic field

Alexei V. Sergeev and David Z. Goodson

A recently developed perturbation theory for solving self-consistent-field
equations is applied to the hydrogen atom in a strong magnetic field. This
system has been extensively studied using other methods and is therefore
a good test case for the new method. The perturbation theory yields summable
large-order expansions. The accuracy of the self-consistent-field approximation
varies according to field strength and quantum state, but is often higher
than the accuracy from adiabatic approximations. A new derivation is presented
for the asymptotic adiabatic approximation, the most useful of the adiabatic
approaches. This derivation uses semiclassical perturbation theory without
invoking an adiabatic hypothesis.

Full paper, GIF format.

Full text, pdf-format, 14 pages.

Figures: 1, 2, 3,
4, 5, 6.

Full text, RevTex format.

Final version, LaTex and and figures, pdf.

Final version, PDF file from the journal.

Terse list of papers |
Verbose list of papers |
Recent papers |
Unpublished reports |
Conference presentations

List of papers with abstracts from INSPEC database |
List of recent papers automatically generated by OCLC Service

List of papers automatically generated by ISI |
Articles which cite A. S. works |
Random sentences generated from abstracts of A. S. papers

Files necessary for job applications |
Directory of files |
Designed by A. Sergeev