Скачать или смотреть Quantum Chemistry 4.9 - Orthogonality

Short lecture on orthogonality in quantum mechanics.

If the integral over all space of the product of two functions is zero, then those two functions are orthogonal to one another. If two functions are eigenfunctions of the same Hermitian operator, we can show that if their eigenvalue is different (non-degenerate), then the functions must be orthogonal. Wavefunctions are eigenfunctions of the Hamiltonian operator, and thus if they have a different total energy (eigenvalue) then they are automatically orthogonal.

Notes Slide: http://i.imgur.com/t7wbsrG.png

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