Particle in a box - perturbation theory

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Homework Statement



Find the ground state energy of a particle restricted to move in one dimension subject to the potential in the attachement using perturbation theory.



Homework Equations


Yo = (2/a)1/2 sin(nπx/a)


The Attempt at a Solution



I'm not sure how to account for the potential since there are two wells.

My setup right now using braket notation is E = 2<Y|Y> + <Y|Vo|Y> where Y is the wavefunction Yo = (2/a)1/2 sin(nπx/a)

Can I get some feedback as to if I am headed in the right direction or how to get there if I am not?

Thank you.
 

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