Expanding energy of anharmonic oscillators
in powers of a coupling constant g 

Name of the problem  Hamiltonian  Click below to calculate the expansion coefficients 
Quartic anharmonic oscillator  Run Mathematica program  
Sextic anharmonic oscillator  Run Mathematica program  
Octic anharmonic oscillator  Run Mathematica program  
Cubic anharmonic oscillator  Run Mathematica program  
Barbanis potential (twodimensional anharmonic oscillator) 
Run Mathematica program 
Expanding energy for a screened Coulomb potential
in powers of the screening parameter 

Hellmann potential (superposition of the Coulomb and Yukawa potentials) 
Run Mathematica program 
Semiclassical expansion (in powers of the Plank's constant)


Arbitrary anharmonic oscillator, or a 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/Dexpansions may be added later.
Designed by A. Sergeev