A particle with mass m is in the lowest (ground) state of the infinte potential energy well, as defined in the provided image. At time t=0, the wall located at x = L is suddenly pulled back to a position at x = 2L. This change occurs so quickly that instantaneously the wave function does not change. Calculate the probability that a measurement of the energy will yield the ground-state energy of the new well. What is the probability that a measurement of the energy will yield the first excited energy of the new well?

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A particle with mass m is in the lowest (ground) state of the infinte potential energy well, as defined in the provided image.

At time t=0, the wall located at x = L is suddenly pulled back to a position at x = 2L. This change occurs so quickly that instantaneously the wave function does not change.

  • Calculate the probability that a measurement of the energy will yield the ground-state energy of the new well. What is the probability that a measurement of the energy will yield the first excited energy of the new well?
V(x) =
0
0 < x < L
∞ elsewhere
Transcribed Image Text:V(x) = 0 0 < x < L ∞ elsewhere
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