Differential equation Hermite polynomials

  • Thread starter dakold
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  • #1
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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
 

Answers and Replies

  • #2
dextercioby
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Isn't this the ODE for the Hermite polynomials ?
 
  • #3
15
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yes it's. i tried to make a ansatz with hermite polynomials and it solved the equation.
 

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