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Homework Help: Advanced integration techniques

  1. Jun 2, 2010 #1
    Hello,
    In quantum mechanics I often come across with some very complicated integrals which I need to calculate in an analytic methods (For ex. symmetric and antisymmetric functions , Gaussians ,etc.)
    Do you know where I can find a summery of those techniques?
    thanks
     
  2. jcsd
  3. Jun 2, 2010 #2
    Gaussian functions multiplied by powers of x are usually solved by integration by parts. Also, any self-respecting physicist knows that:

    [itex]
    \int^{\infty}_{-\infty} e^{-x^{2}} \, dx = \sqrt{\pi}
    [/itex]

    *This is as hard to derive as it appears. Even wikipedia has it at: http://en.wikipedia.org/wiki/Gaussian_integral

    For more details, could you please provide some examples of said integrals?
     
    Last edited: Jun 2, 2010
  4. Jun 3, 2010 #3
    Abramowitz, Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.
     
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