Can the function = x2(L 2x) be used as a trial wavefunction for the n = 1 state of a

Chapter 11, Problem 11.8(b)

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Can the function = x2(L 2x) be used as a trial wavefunction for the n = 1 state of a particle with mass m in a one-dimensional box of length L? If the answer is yes, then express the energy of this trial wavefunction in terms of h, m, and L and compare it with the exact result (eqn 9.4). If the answer is no, explain why this is not a suitable trial wavefunction.

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