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Relation between potential and bound states in Schrodinger equation.

  1. Aug 25, 2008 #1
    Suppose I have Schroedinger equation in the form:
    The potential is such that as |x| -> Infinity, V(x) reaches a constant positive value. In this case can we have bound state/plane wave solutions for u(x) with E > 0 ?
  2. jcsd
  3. Aug 26, 2008 #2


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    Science Advisor

    You can have bound state solutions with E>0.
    Just take any V that-->0 and add any positive constant to it.
    You can't have plane wave solutions if V depends on x.
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