Perturbation of 2D Oscillator along one axis

[Holychikenz]

The problem given is a perturbation on the two dimensional harmonic oscillator where the perturbation is simply: H'=-qfy.

It seems that all of the elements of the matrix H' are zero and so constructing a diagonal matrix in the subspace is eluding me. Any ideas?

 

[genericusrnme]

There are nonzero diagonal elements of H'
try n=0 and n=1