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## Main Question or Discussion Point

Can anyone give me a physical interpretation of what orthogonal eigenfunctions are please? I understand the mathematical idea, the overlap integral, but I'm not clear about what it implies for the different states. At the moment the way I'm thinking of it is that the energy eigenfunctions of an orthonormal set are at right angles to one another in multidimensional eigenvalue space, ie the overlap integral can tell us the probability of being in a particular state but not of being in two states at once. How far off is this?