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Problem 5 (10 pts.) Consider a particle in a one-dimensional box of length a between x =0 and x= a. Assume that the particle is

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Problem 5 (10 pts.) Consider a particle in a one-dimensional box of length a between x =0 and x= a. Assume that the particle is subject to a small perturbation of the form H (8 05xsa/2 10 otherwise where & is a constant parameter. Calculate the first order correction to the energy of the n-th stationary state energy level

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