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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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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.
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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