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SHO with a fixed boundary

  1. Oct 19, 2006 #1
    How to solve the time-independent Schodinger equation with the following potential:

    U(x)=x^2 for x>x0
    U(x)=infinity for x<x0 ?
  2. jcsd
  3. Oct 22, 2006 #2


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    To the right side of x0 it's just a harmonic oscillator potential (of which I presume you know the solutions). What's the wavefunction for x<x0? Then apply boundary conditions.
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