Method of local‐scaling transformations and density‐functional theory in quantum chemistry

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The method of local‐scaling transformations is developed with a view to applications of the nonrelativistic quantum mechanical variational principle in quantum chemistry. Some properties of local‐scaling transformations are studied. The method presented links local‐scaling transformations and one‐electron densities via the ordinary differential equation that provides a proof of the theorem on the existence of the energy density functional within any given orbit and its universality in a sense of the general theory of ordinary differential equations, and allows the construction of this functional explicitly.