Uses of Laguerre Differential Equ.

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Does anybody know what the use of the Laguerre Differential Equation would be? I am having a hard time finding what areas of physics this diff. eq. is used in. Thanks.
 

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jtbell
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It arises in solving Schrödinger's Equation to find the quantum-mechanical wave function of hydrogen. Specifically, it's associated with the radial part of the wave function. See this site, for example.

(Hmm, I see it doesn't mention Laguerre's equation specifically by name, but it does come up with the Laguerre polynomials which are part of the solution.)
 
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Thanks

Thank you, that site looks like it will help out quite a bit. It looks like it give a much more detail explanation that a lot of the other site I have seen.
 

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