- #1

Maybe_Memorie

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## Homework Statement

Here's something that's confusing me. Say we have a potential

V(x) = V

_{o}if x < 0, x > a

and

V(x) = 0 if 0 < x < a

(yes I know the notation with greater than/equals etc isn't totally correct, but you know what I'm talking about.)

In the middle section, ψ'' + k

^{2}ψ = 0

Whenever I see the solutions it's always ψ = Asin(kx) + Bcos(kx) in the middle section where k

^{2}= -2mE/h

^{2}

In the right/left sections, ψ'' + f

^{2}ψ = 0, with f

^{2}= -2m(E - V

_{0})/h

^{2}

The solutions here always seem to be complex exponentials.

Can someone please explain the difference to me in the solutions?