###

H.O. with anharmonic perturbation (
).

We add an anharmonic perturbation to the Harmonic Oscillator problem.

Since this is a symmetric perturbation we expect that it will give a nonzero result in first order
perturbation theory.
First, write x in terms of
and
and compute the expectation value as we have
done before.

Jim Branson
2013-04-22