- #1

BiGyElLoWhAt

Gold Member

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http://www.wolframalpha.com/input/?i=-h^2/(2*m)*y''+++x^2*y+=+k*y

Note: k == Energy, I just used k because it changed E -> e.

If you scroll down and see the solution, it is in terms of the parabolic cylinder function D which is the solution to weber equations.

https://en.wikipedia.org/wiki/Parabolic_cylinder_function

I am not really getting what to do with this.

I'm not sure on the notation used, and the link is no help.

https://en.wikipedia.org/wiki/Abramowitz_and_Stegun

Can someone give me advice on how to numerically approximate this function?