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QM question

  1. Feb 14, 2009 #1
    1. The problem statement, all variables and given/known data

    Determine the four lowest energy levels, their degeneracies and quantum numbers of the wavefunctions for an electron in

    i) a rigid spherical box of 2 Angstrom radius and,

    ii) a rigid cubic box of the same volume

    Express the result in multiples of ħ2/(2m0a2), and in electron Volt units. Plot the result on energy level diagrams and comment.

    2. Relevant equations
    Schroedinger's equation in spherical coordinates...

    3. The attempt at a solution

    Not sure how to solve 3d questions.....
  2. jcsd
  3. Feb 15, 2009 #2


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    Welcome to Physics Forums.

    How about we start with writing out Schrodinger's equation with the laplacian in spherical coordinates.

    Do you know what the usual ansatz is for 3D spherically symmetric problems?
  4. Feb 15, 2009 #3
    you mean this one?

    is there a way to post those equations to the body directly and not as an attachment?

    Attached Files:

  5. Feb 15, 2009 #4


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  6. Feb 16, 2009 #5


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    That's the one. Now, do you know the appropriate ansatz?
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