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.