Abstract
In quantum chemistry one needs expansions of Orbitals and operators, defined with respect to one origin, about another origin. Because there is no straightforward method of obtaining such expansions, it is helpful to interpret them as translations of fields. The connection between translations and rotations of fields with the transformations of functions is considered. Of special physical interest are expansions in spherical harmonics, which have the form of an addition theorem. General properties of such expansions and possible methods to derive them are discussed.
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Steinborn, E.O., Filter, E. Translations of fields represented by spherical-harmonic expansions for molecular calculations. Theoret. Chim. Acta 38, 247–260 (1975). https://doi.org/10.1007/BF00963465
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DOI: https://doi.org/10.1007/BF00963465