Find (a) the corresponding Schrödinger equation and wave function, (b) the energy for the infinite-walled well problem of size L, (c) the expected value of x () on the interval [0,a/4], (

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Find (a) the corresponding Schrödinger equation and wave function, (b) the energy for the infinite-walled well problem of size L, (c) the expected value of x (<x>) on the interval [0,a/4], (d) The expected value of p (<p>) for the same interval and (e) the probability of finding at least one particle in the same interval. Do not forget the normalization, nor the conditions at the border.

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