I guess it is fairly well known that to minimize electrostatic repulsion between electrons in a central potential, they have to be placed at the zeros of Chebysev (and possibly other orthogonal) polynomials. But i suppose the above does not take into account the orbit of the electron as well as the spin , i,e the magnetic quantum number is not taken into account. Could one look at the above as the placement of oscillators on a possibly multi-dimensional torus ? (Where the frequency of the oscillator is related to the angular momentum and the amplitude to the radii ??) Can one relate this to the minimalization of cross-talk and the maximalization of separability ??
I suppose, In our case, the angular velocity and hence the frequency is related to the radii
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