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Homework Help: Eigenvalues/functions for hamiltonian in 1D harmonic oscillator

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the eigenvalues and eigenfunctions of H[tex]\hat{}[/tex] for a 1D harmonic oscillator system with V(x) = infinity for x<0, V(x) = 1/2kx^2 for x > or equal to 0.

    2. Relevant equations

    3. The attempt at a solution
    I think the hamiltonian is equal to the potential + kinetic energy. I am pretty confused right now. I do ok in class but I had to miss a few days and I am lost.
  2. jcsd
  3. Sep 30, 2009 #2


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    Homework Helper

    To start with: do you know how to find the eigenvalues and eigenfunctions of the regular harmonic oscillator, which has a potential
    [tex]V(x) = \frac{1}{2}kx^2[/tex]
    for all x (less than, greater than, and equal to zero)? If not, you really need to learn that first.
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