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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.