1. Consider a particle of mass m in a box of length L with boundaries at x...

1. Consider a particle of mass m in a box of length L with boundaries at x = 0 and x = L. At t = 0 the wavefunction is

where A is the normalization constant.

(a) Determine the basis eigen states for a particle in the box.

(b) Determine the normalization constant A.

(c) Determine the probability of finding the particle in the ground state at t ≠ 0.

(d) Show that the sum of probabilities of finding the particle in all of the eigen states y_n with n = 1, 2, 3, …….. is equal to one.

Expert Solution

genius_generous answered 2 years ago

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