Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Relation between potential and bound states in Schrodinger equation.

  1. Aug 25, 2008 #1
    Suppose I have Schroedinger equation in the form:
    [tex]
    -u''(x)+V(x)u(x)=Eu(x)
    [/tex]
    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

    clem

    User Avatar
    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Relation between potential and bound states in Schrodinger equation.
Loading...