A spatial restriction method in the theory of many-electron systems. I

An efficient method is suggested for calculating the behavior of many-electron systems in which the electron motion is spatially restricted by the wave function permutation symmetry. The method is based on introducing a trial function, satisfying the permutation rules and accounting explicitly for restriction in the one-electron configuration space. Applied to outer shell electrons of an atom, the method allows the inner shells to be taken into account through a vanishing boundary condition on a spherical surface of radius r0. A table of r0 values is constructed for atomic cores of the principal group elements. The energy levels of atoms and ions calculated with the aid of this table are in good agreement with a wide range of spectroscopic data. The results form a basis for ground state calculations of dielectric crystals (see Part II).

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