1. Suppose you are given a normalized wave function at t=0 for a particle of mass m in an infinite potential well. 2 sin V2 a 2 TX 1 sin- V2 5 TX for 0
1. Suppose you are given a normalized wave function at t=0 for a particle of mass m in an infinite potential well. 2 sin V2 a 2 TX 1 sin- V2 5 TX for 0
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Transcribed Image Text:1. Suppose you are given a normalized wave function at t=0 for a particle of mass m in an
infinite potential well.
1 2
5 TX
for 0<x<a
sin
2 TX
1
and the wave function is zero
sin
V2 a
U x =-
a
V2
a
outside this interval.
a) Can the particle ever be found at x=a/2?
Find the expectation value of the energy.
c) Find the probability density as a function of time and position.
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