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A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x< b. Somehow, we know that the wave function for the particle is given as: 4(x, t) = C e-iwt sin a) What is the probability of finding the particle between

A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x< b. Somehow, we know that the wave function for the particle is given as: 4(x, t) = C e-iwt sin a) What is the probability of finding the particle between

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Given: For sake of simplicity, let us consider a particle with mass, m, in one dimension trapped in an infinite square well potential. The bottom of the potential well has zero potential energy, and the particle is known to be confined between 0 <xs b. You should be able to sketch this potential well
Transcribed Image Text:Given: For sake of simplicity, let us consider a particle with mass, m, in one dimension trapped in an infinite square well potential. The bottom of the potential well has zero potential energy, and the particle is known to be confined between 0 <xs b. You should be able to sketch this potential well
A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x < b. Somehow, we know that the wave function for the particle is given as: p(x, t) = C e-i@t sin a) What is the probability of finding the particle between< x< . b) Is the variable w arbitrary? If yes, explain why. If no, what is the value it must be. c) Is the variable C arbitrary? If yes, explain why. If no, what is the value it must be?
Transcribed Image Text:A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x < b. Somehow, we know that the wave function for the particle is given as: p(x, t) = C e-i@t sin a) What is the probability of finding the particle between< x< . b) Is the variable w arbitrary? If yes, explain why. If no, what is the value it must be. c) Is the variable C arbitrary? If yes, explain why. If no, what is the value it must be?
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