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Show eigenfunctions are orthogonal

  1. Apr 14, 2010 #1
    hi

    one of my past papers needs me to show that if 2 eigenfunctions, A and B, of an operator O possess different eigenvalues, a and b, they must be orthogonal. assume eigenvalues are real.

    we are given

    [tex]\int A*OB dx[/tex] = [tex]\int(OA)*B dx[/tex]

    * indicates conjugate
     
  2. jcsd
  3. Apr 14, 2010 #2

    kuruman

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    Can you write two eigenvalue equations, one for each eigenfunction? Also, please preview and write correctly your LateX equations before posting them, they will be easier to read.
     
    Last edited: Apr 14, 2010
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