Microscopic quantum hydrodynamics of systems of fermions:~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 258-270

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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.
@article{TMF_2001_126_2_a7,
     author = {L. S. Kuz'menkov and S. G. Maksimov and V. V. Fedoseev},
     title = {Microscopic quantum hydrodynamics of systems of {fermions:~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {258--270},
     publisher = {mathdoc},
     volume = {126},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a7/}
}
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L. S. Kuz'menkov; S. G. Maksimov; V. V. Fedoseev. Microscopic quantum hydrodynamics of systems of fermions:~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 258-270. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a7/