- #1
fahmed6
- 11
- 0
Im confused about taking out the first and second order perturbation effect on a 1d harmonic oscillator.I get to the integration part but don't know where to go from there.
for example if a term of ax^3 is added to the hamiltonian of the harmonic oscillator this is how i start.if i want to take out the result for the ground state i take the square of the wave function for the ground state, multiply it by ax^3 and integrate it.
But now i don't know what the integration limits should be.
Also if i want to find a general solution for all energy states then how should i put in the hermiye polynials as the are a function of x too and I am integating wrt x too.
Thanx
for example if a term of ax^3 is added to the hamiltonian of the harmonic oscillator this is how i start.if i want to take out the result for the ground state i take the square of the wave function for the ground state, multiply it by ax^3 and integrate it.
But now i don't know what the integration limits should be.
Also if i want to find a general solution for all energy states then how should i put in the hermiye polynials as the are a function of x too and I am integating wrt x too.
Thanx