RSPTexpansion
For basic introduction to Rayleigh - Schrödinger Perturbation Theory, see for example lecture notes of Greg Tschumper.

On-line calculation and graphical display
of Rayleigh - Schrödinger perturbation series
for various quantum-mechanical problems

Expanding energy of anharmonic oscillators in powers of a coupling constant g
the energy expansion
Name of the problem Hamiltonian Click below to calculate the expansion coefficients
Quartic anharmonic oscillator Hamiltonian of the quartic anharmonic oscillator Run Mathematica program
Sextic anharmonic oscillator Hamiltonian Run Mathematica program
Octic anharmonic oscillator Hamiltonian Run Mathematica program
Cubic anharmonic oscillator Hamiltonian Run Mathematica program
Barbanis potential
(two-dimensional anharmonic oscillator)		 Hamiltonian Run Mathematica program

Expanding energy for a screened Coulomb potential in powers of the screening parameter
the energy expansion in powers of the screening parameter
Hellmann potential
(superposition of the Coulomb and Yukawa potentials)		 Hamiltonian for superposition of the Coulomb and Yukawa potentials Run Mathematica program

Semiclassical expansion (in powers of the Plank's constant)
the energy expansion in powers of the Plank's constant
Arbitrary anharmonic oscillator, or a potential in one variable with a minimum Arbitrary potential in one variable with a minimum Run Mathematica or Fortran program

More problems such as relativistic screened Coulomb potentials, Stark, Zeeman effects and 1/D-expansions may be added later.

Other on-line calculations

Designed by A. Sergeev