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Series expansion of a harmonic oscillator

  1. Apr 29, 2012 #1
    1. The problem statement, all variables and given/known data

    Use a series expansion ψ=A0x0+A1x1+A2x2+... to determine the three lowest-order wave functions for a harmonic oscillator with spring constant k and mass m, and show that the engergies are the expected values.

    2. Relevant equations

    Series expansion given above

    Time independent Schrodinger's equation

    3. The attempt at a solution

    I am not familiar with series expansion. Asking others in the class, we got as far as what is in the picture, where we took the function for a harmonic oscillator F=-kx and substituted it for U in Schrodinger's Equation.

    P0gq5.jpg
     
    Last edited: Apr 29, 2012
  2. jcsd
  3. May 1, 2012 #2
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