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In: Physics

A particle in the infinite square well (width a) starts out being equally likely to be...

  1. A particle in the infinite square well (width a) starts out being equally likely to be found in the first and last third of the well and zero in the middle third.
    1. What is the initial (t=0) wave function? Find A and graph the initial wave function.
    2. What is the expectation value of x? Show your calculation for the expectation value of x, but then say why you could have just written down the answer. Will you ever find the particle at the expectation value of x at t = 0?
    3. What is the probability of finding the first four stationary states?

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