Ground state wave function for H=(1/2)p²+(1/24)λ(x²-v²)²

[LAHLH]

Hi,

If I have the Hamiltonian: $H=(1/2)p^2+(1/24)\lambda(x^2-v^2)^2$ what is the best way to find the ground state wave functions $\psi(x)$. I was thinking this sort of looks like the harmonic osscilator, so maybe a clever change of variables could do the trick? or some form of perturbation perspective?

 

[A. Neumaier]

Hi,

If I have the Hamiltonian: $H=(1/2)p^2+(1/24)\lambda(x^2-v^2)^2$ what is the best way to find the ground state wave functions $\psi(x)$. I was thinking this sort of looks like the harmonic osscilator, so maybe a clever change of variables could do the trick? or some form of perturbation perspective?

Enter the key words
high order expansion anharmonic oscillator
into http://scholar.google.com to get a lot of references.

 

[LAHLH]

Enter the key words
high order expansion anharmonic oscillator
into http://scholar.google.com to get a lot of references.

thanks, will check those out.