Consider a particle with energy E confined to a one-dimensional finite potential well of depth V0. Assuming that there is more than one allowed energy eigenstate with E < V0, do the following: a)  Sketch the values of the wavefunction and the probability density for the first two states. b)  Explain any features of your sketch that do not occur in classical physics.

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Consider a particle with energy E confined to a one-dimensional finite potential well of depth V0. Assuming that there is more than one allowed energy eigenstate with E < V0, do the following:

  1. a)  Sketch the values of the wavefunction and the probability density for the first two states.

  2. b)  Explain any features of your sketch that do not occur in classical physics.

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