A particle is constrained to move in an infinitely deep square potential well, spanning from 0 < x < a. Suppose we add a delta function bump in the center of the well to produce the perturbation: H0 = (x−a=2) (1) Where is a constant. Find the first order correction to the nth allowed value of the energy. Explain why there is no correction for even n.

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A particle is constrained to move in an infinitely deep square potential well, spanning from 0 < x < a. Suppose we add a delta function bump in the center of the well to produce the perturbation: H0 = (x−a=2) (1) Where is a constant. Find the first order correction to the nth allowed value of the energy. Explain why there is no correction for even n.

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