A particle of charge q and mass m is in a harmonic oscillator potential V0=0.5m(wx)^2. A perturbation is introduced which changes the potential to V=V0 + dV with dV=0.5sm(wx)^2 where s is small.
Use perturbation theory to compute the first order shift in the ground state energy.
E0' - E0 = <0|h|0>
The Attempt at a Solution
Well I've done it ish but am kind of confused about where the q is supposed to be used. Should I multiply V0 by q to get the potential energy, and use that in H?
I'm used to the hamiltonian for a SHO just having 0.5m(wx)^2 as the potential term.