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I Sturm-Liuoville form

  1. Jan 14, 2017 #1
    I have been studying the Higg's field and ran across a particular equation that made me realize I need to better understand Sturm-Liuoville. So naturally I went looking through my differential calculus textbooks but was surprised they didn't cover this detail. While the article covers how to get to the Sturm-Liouville form in the following equation.

    [tex]-p(\varphi\frac{d^2\overline{\phi}_n}{d\phi^2}-\acute{p}9\varphi\frac{d\overline{\phi}_n}{d\varphi}+q(\varphi)\overline{\phi}_n=\lambda_nw(\varphi)\overline{\phi}_n(\varphi)[/tex]

    I would much rather have a solid good resource so I can study Sturm-Liouville. Ideally one that has a good range of problem sets I can practice with. Particularly since its been over 15 years since I completed University.

    However like a lot of things if you don't keep in practice one tends to forget lol

    I did some google searching on the topic but would like to know if anyone has any recommendations.
     
  2. jcsd
  3. Jan 14, 2017 #2

    ShayanJ

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    Gold Member

    Arfken's "Mathematical methods for physicists" has a good chapter on SL theory.
     
  4. Jan 14, 2017 #3
    Perfect precisely the details I needed. I glanced through the ebook and liked the textbook so much I ordered a hardcopy thanks a bunch for the recommendation.

    edit studying this textbook further it has provided me all the tools to work through the dissertation I am studying. Once again thanks
     
    Last edited: Jan 14, 2017
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