Finite Quantum Well: Wave Function when E>V{0}?

[KingBigness]

Homework Statement

If an electron is in a finite quantum well and it's E>V{0} what does the wave function look like?

Homework Equations

The Attempt at a Solution

Wondering if anyone could help me out with this?
I know that outside the well the electron will have the same general solution as that of an electron inside the well when E<V{0}...but what does the electron inside the well look like when E>{0}?

Does the wave function exist above the well? Does that even make sense?

 

[JesseC]

If an electron is not inside a potential well it is called 'unbound', and yes such states exist! An atom is a potential well, and if you provide enough energy to one of the electrons (for example by firing a photon at it) you can eject it from the atom, and it becomes unbound.

What is the form of Schrödinger equation for E > V? That should give you a hint of what the general solution is like.