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Homework Help: Special case of quantum SHM.

  1. Feb 17, 2009 #1
    Let it be V=(1/2)m(w^2)(x^2) for -L<x<L and V=A finite for x elsewhere.

    is it obvious to use the wavefunction for the SHO that has infinite limits for the (-L,L) region and the usual decay of tunneling for the parts outside x</L/, and then play with the boundary conditions to determine the constants?

    thanks for any discussion.

    PS: I am particularly interested in the case that the particle energy is less than A but any further ideas are more than welcomed.
  2. jcsd
  3. Feb 19, 2009 #2
    You should use Hermite polynomials (H_n) with arbitrary non-integer n's
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