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Homework Help: Differential equation Hermite polynomials

  1. May 22, 2007 #1
    I got a problem in quantum physics that i have come to a differential equation but I don't see how to solve it, its on the form
    F''(x)+(Cx^2+D)F(x)=0.
    How should I solve it?
    Thanks
     
  2. jcsd
  3. May 22, 2007 #2

    dextercioby

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    Isn't this the ODE for the Hermite polynomials ?
     
  4. May 24, 2007 #3
    yes it's. i tried to make a ansatz with hermite polynomials and it solved the equation.
     
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