(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am given the hamiltonian, where [tex]H^{^}_{0}[/tex] is that of the harmonic oscillator and the perturbation is (lambda)*(h-bar)*(omega)*[(lowering operator)^2 + (raising operator)^2]. I am asked to find the ground state, second-order approx. energy value.

2. Relevant equations

Second order eigenenergy equation.

3. The attempt at a solution

I have written out the whole hamiltonian. Do I need to expand the lowering-raising operators in terms of n? I am a bit lost on what to plug in to the second order equation for the two wave functions m and n (which sandwich the Hamiltonian operator).

**Physics Forums - The Fusion of Science and Community**

# Perturbation Theory/Harmonic Oscillator

Have something to add?

- Similar discussions for: Perturbation Theory/Harmonic Oscillator

Loading...

**Physics Forums - The Fusion of Science and Community**