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## Homework Statement

One dimensional harmonic oscillator has the Hamiltonian

H(hat)=p(hat)/2m +0.5mw^2x(hat)^2

Show that the eigenvalue spectrum of H(hat) is

En=(n+0.5)h(bar)w n=0,1,2...

I've managed to show this

Suppose the real constant C is added to the Hamiltonian H(hat) to give the new Hamiltonian

H(hat)' = H(hat) + C

What is the eigenvalue spectrum of H(hat)' ?

## Homework Equations

I am afraid I have no idea how to go about this question!