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Confusion with formulas for wavefunctions

  1. Apr 1, 2017 #1
    1. The problem statement, all variables and given/known data
    I am working on this problem:

    The formula I am given in my notes is:
    I found a website which explains this problem, and they give this formula:
    But then, their answer is:
    And I don't see how they went from sqrt(8) to 2 on the numerator. I am confused which formula to use where.
    I am confused as to which formula I should use... my notes don't make any difference between L1, L2 and L3, but then it doesn't matter in this case in the end.
  2. jcsd
  3. Apr 1, 2017 #2


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    You have found a solution for the 3D problem. Yours is the 2D problem, which is slightly different.
  4. Apr 1, 2017 #3
    The solution I found was supposed to be for the exact same problem I am working on. In this case do I use the formula from my notes ? Or there is a completely different one that I am forgetting ?
  5. Apr 1, 2017 #4
    Could I use this one:
    and then add the y-component somehow ?
  6. Apr 1, 2017 #5


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    You've found the 1D solution and the 3D solution. I think you are supposed to solve the 2D problem for yourself!
  7. Apr 1, 2017 #6
    Yes, your problem in 2- or 3 dimension is separable. That, is the wave function for the 2-dimensional problem can be written as a product of two wave functions, one depending on ##x## and the other on ##y##.
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