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Uses of Laguerre Differential Equ.

  1. Mar 19, 2008 #1
    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.
  2. jcsd
  3. Mar 19, 2008 #2


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    Staff: Mentor

    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.)
  4. Mar 19, 2008 #3

    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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