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Show eigenfunctions are orthogonal

  • Thread starter indie452
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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
 

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.
 
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