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.
The Attempt at a Solution
So far, I looked at the even solutions:
[tex] \psi(x)=A\cos(kx)[/tex] 0<x<a
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.