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Simple time-independent perturbation problem. QM

  1. Nov 15, 2008 #1
    1. The problem statement, all variables and given/known data
    "Suppose we put a delta-function in the center of the infinite square well:
    [tex] {H^{'}} = \alpha\delta(x-a/2) [/tex] where a is a constant. Find the first order correction to the allowed energies. Explain why the energies are not peturbed for even n"

    2. Relevant equations

    3. The attempt at a solution

    Just to make sure. The energies for even n are not peturbed because the wave functions are odd with respect to the center of the well, thus equal to zero at those points where the delta-function potential is (if our square well is from 0 to a). Is that correct?
  2. jcsd
  3. Nov 15, 2008 #2


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    Science Advisor

    Yes, that's correct!
  4. Nov 16, 2008 #3
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