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Quantum Mechanics Problem

  • Thread starter G01
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G01
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Homework Statement


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.

Homework Equations





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.
 

Answers and Replies

  • #2
G01
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I think I may be confused on what they mean by "the even and odd solutions."
 
Last edited:
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Dr Transport
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Solutions which are odd and even under coordinate inversion......
 
  • #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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