Show eigenfunctions are orthogonal

1. Apr 14, 2010

indie452

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

$$\int A*OB dx$$ = $$\int(OA)*B dx$$

* indicates conjugate

2. Apr 14, 2010

kuruman

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