This article is cited in 62 papers

Microscopic quantum hydrodynamics of systems of fermions: II

L. S. Kuz'menkov, S. G. Maksimov, V. V. Fedoseev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: A closed system of nonstationary equations for a multielectron atom is constructed using a method previously developed for investigating multiparticle fermion systems. The well-known Thomas–Fermi–Dirac method is a particular case of the system. The exchange spin-spin correlations are calculated using an improved spin-spin interaction Hamiltonian. The dependence of the electron concentration on the self-consistent electric field potential and a discrete set of parameters determined by the total energy and the angular momentum of the atom is derived for stationary atom states.

Received: 22.06.2000

DOI: 10.4213/tmf429

 English version: Theoretical and Mathematical Physics, 2001, 126:2, 212–223

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