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Average Potential Energy of a hydrogen 1s electron

  1. May 17, 2010 #1
    I can't find any reference to this in my notes.

    The problem is to calculate the average potential energy of a hydrogen 1s electron. The operator is V=e2 /4piE0r
  2. jcsd
  3. May 18, 2010 #2
    you forgot a minus sign. Also, what's the commutator of H and V?
  4. May 18, 2010 #3
    good call on the minus sign. There's no mention of the commutator on the worksheet, is that necessary to know before doing the problem? I thought that the Hamiltonian operator for a hydrogen atom was -Hbar^2/2u-e^2/r. I'm really confused
  5. May 18, 2010 #4


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    I'll give a hint: How do you calculate the expectation value of an operator? I suspect that's what they want you to do.
  6. May 18, 2010 #5
    alxm is right. I wanted you to use a method called the virial theorem in QM, but it might be too complicated.
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