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Homework Help: Ground and Excited States in a Potential Well (QM)

  1. Oct 12, 2007 #1
    Here's the problem:


    Just the first one.

    Okay, so my understanding is that the first state of Psi (ground state) is just an arc, like a Gaussian distribution, starting from 0 at E0 and finishing at 5a also at the level of E0.

    The next ones are just sine waves at higher frequencies.

    So would I just draw a high frequency sine wave of amplitude E0 until I get to the "jump" at 2a, and then just decrease the the amplitude that that point, but keep the frequency the same?

    Or since the frequency corresponds to energy, and I don't have as much of a jump from E0 to the bottom of the well, I should keep the amplitude constant the whole time, but decrease the frequency once I get to the "jump" at 2a?

    The book only mentions an infinite square well and doesn't really go into it.
  2. jcsd
  3. Oct 15, 2007 #2
    Sorry, but I still haven't figured this one out.

    Is the energy level 0 meaningless here, since a particle can't get below the ground state (E0) in energy?

    So it would be a high-frequency sine wave with the amplitude being from E to E0? I still don't see the significance of the potential jump in the middle.
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