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## Homework Statement

Calculate the second-order correction to the ground-state energy of the stationary states of the system.

The perturbed Hamiltonian is:

H' =- (/gamma /hbar m /omega)/2 (a+ - a-) ^2

**2 & 3. Relevant equatio and the attempt at a solution**

This is not right. I follow the same procedure as letting the ladder operators act on eigenvalues, i.e. that a+|n> becomes (√(n+1))|n+1>

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