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## Homework Statement

Consider the Hamiltonian

[tex]\hat{}H[/tex] = [tex]\hat{}p[/tex]

^{2}/2m + (1/2)mω

^{2}[tex]\hat{}x[/tex]

^{2}+ F[tex]\hat{}x[/tex]

where F is a constant. Find the possible eigenvalues for H. Can you give a physical

interpretation for this Hamiltonian?

## Homework Equations

## The Attempt at a Solution

I don't think you can put H in matrix form?

Can i use the following?

HΨ=λΨ

HΨ = p

^{2}Ψ/2m+(1/2)mω

^{2}x

^{2}Ψ+FxΨ = λΨ?

I think i am using the wrong method.

What does "give a physical interpretation..." mean?

thanks in advance

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