Consider a particle in a box of length L with one end coinciding with the origin. Consider the initial state to be given by the wavefunction: (x, 0) = A sin 2nrx/L for 0 < x < L/2 and (x,0) = 0 for æ > L/2. Normalize this wavefunction. Compute the time evolution of this system. Find the probability of measuring E; at some time t.

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Consider a particle in a box of length L with one end coinciding with the origin. Consider the initial state to be given by the wavefunction:
(x, 0) = A sin 2nrx/L for 0 < x < L/2 and (x, 0) = 0 for x > L/2. Normalize this wavefunction. Compute the time evolution of this
system. Find the probability of measuring E; at some time t.
Transcribed Image Text:Consider a particle in a box of length L with one end coinciding with the origin. Consider the initial state to be given by the wavefunction: (x, 0) = A sin 2nrx/L for 0 < x < L/2 and (x, 0) = 0 for x > L/2. Normalize this wavefunction. Compute the time evolution of this system. Find the probability of measuring E; at some time t.
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