1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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




Similar Discussions: Special case of quantum SHM.
  1. SHM question (Replies: 18)

  2. SHM and Gravitation (Replies: 3)

Loading...