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Quantum Mechanics Problem

  1. Mar 11, 2007 #1

    G01

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    1. The problem statement, all variables and given/known data
    Consider the potential:

    [tex] V(x) = \alpha\delta(x)[/tex] -a<x<a
    [tex] V(x) = \infinity[/tex] |x|>a


    Analyze the even and odd solutions separately, and find the allowed energies.

    2. Relevant equations



    3. The attempt at a solution

    So far, I looked at the even solutions:

    [tex] \psi(x)=A\cos(kx)[/tex] 0<x<a
    [tex]\psi(-x)[/tex] -a<x<0

    With this solution, Acoskx must equal zero at the delta barrier correct?
    Since the only way this could happen is for A=0, am I to assume the even solutions don't exist?

    Am I going about this correctly? Thanks for any help you can offer.
     
  2. jcsd
  3. Mar 11, 2007 #2

    G01

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    I think I may be confused on what they mean by "the even and odd solutions."
     
    Last edited: Mar 11, 2007
  4. Mar 11, 2007 #3

    Dr Transport

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    Solutions which are odd and even under coordinate inversion......
     
  5. Mar 11, 2007 #4

    G01

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    Ok I think I get that much, did I at least start this problem the correct way? Like, do I have the correct form of the even solutions?
     
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