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A

**delta Potential**is given by -Vδ(x-a). If we wrote the equations of the wave function like this

For E>0

u(x) = Aexp(ikx) + A'exp(-ikx) for x<a

u(x) = Bexp(ikx) + B'exp(-ikx) for x>a

do i have to impose that A'=B=0 in order to u(x) not diverge in when x goes to +-infinite?

The problem is that where I read that, only impose the condition for E<0.

*Thanks!*