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Finite Quantum Well

  1. May 23, 2012 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations



    3. 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?
     
  2. jcsd
  3. May 23, 2012 #2
    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 schrodinger equation for E > V? That should give you a hint of what the general solution is like.
     
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