Differential equation Hermite polynomials

Thread starter dakold
Start date May 22, 2007
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Differential Differential equation Hermite polynomials Polynomials

May 22, 2007

dakold

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

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May 22, 2007

dextercioby

Science Advisor

Insights Author

Isn't this the ODE for the Hermite polynomials ?

May 24, 2007

dakold

yes it's. i tried to make a ansatz with hermite polynomials and it solved the equation.

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