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Calculating the expectation of a quantity using wavefunctions

  1. Mar 9, 2012 #1
    I am reading the fine structure article from Wikipedia at http://en.wikipedia.org/wiki/Fine_structure.

    Under the heading 'Kinetic energy relativistic correction', we have the following:

    For the hydrogen atom, V = e2/r. This implies that the expectation of V = -e2/a0n2.

    Now, I know that you use the unperturbed wavefunction ψ0 to find the expectation of V, but I am not sure of the exact form of ψ0. Any help on this will be greatly appreciated.
  2. jcsd
  3. Mar 9, 2012 #2
    I need the form as I want to calculate the expectation myself. Is there a general formula for the wavefunction?
  4. Mar 9, 2012 #3


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    Usually the expectation value is computed with the ground state wavefunction. You can find the n=1, l=0, m=0 wavefunction in any book on QM.
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