Question

A particle of mass m is in the first excited state (i.e., n = 2) of...

A particle of mass m is in the first excited state (i.e., n = 2) of an ISW that extends from 0 to a in the usual way. Suddenly, the well expands by 50%, becoming an ISW that extends from 0 to 3a/2. At the instant the wall moves, the wavefunction is not altered (although after the wall moves, the wavefunction will begin to evolve as dictated by the Schroedinger Equation with a new potential). Note: Having a suddenly expanding well is just another way of specifying € Ψ(x,0).

a) The energy of the particle is now measured. What is the most probable result? What is the probability of getting that result?

b) What is the second-most probable result? What is the probability of getting that result?

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