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Homework Help: Applications of the Differential Eignevalue Problem

  1. May 6, 2009 #1
    1. The problem statement, all variables and given/known data

    following from this post; https://www.physicsforums.com/showthread.php?t=312075", I would like to know why people generally think the Differential Eigenvalue Problem is interesting? eg why is there a fair amount of current research into this?

    2. Relevant equations

    \lambda y = Ly, where L is a linear operator, \lambda is an eigenvalue. y is an eigenfunction corresponding to the eigenvalue.

    3. The attempt at a solution

    Searched Google, wikipedia, encylc. Britannica.

    I know that large systems are hard to solve for the differential eigenvalue problem, so i am presuming this is partly why the research effort. But I'm stabbing in the dark. - I need something in detail please. Or a site / book where i can find the information?

    Thanks :)
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. May 6, 2009 #2
    I can give you one example... One of the most important equations in Quantum Physics is the Schrodinger Equation, which is basically a differential eigenvalue problem.
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