Separation of spin and the fock coordinate wave function method in the $N$-representability problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 65-79
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For the wave functions of a spin multiplet we carry out, in general form, separation of
the spin variables in the two-particle density matrices, which are constructed from the
three spatial two-particle functions and irreducible tensor spin operators. We find
nontrivial integral relations for these spatial functions, giving necessary conditions of
$N$-representability. We show that these spatial components are density matrices of
the Schrödinger wave function for two groups of electrons. The condition of cyclic
symmetry for this function is ensured by one of the obtained integral relations.
@article{TMF_1976_28_1_a5,
author = {G. E. Vaiman and A. V. Luzanov and M. M. Mestechkin},
title = {Separation of spin and the fock coordinate wave function method in the $N$-representability problem},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {65--79},
publisher = {mathdoc},
volume = {28},
number = {1},
year = {1976},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a5/}
}
TY - JOUR AU - G. E. Vaiman AU - A. V. Luzanov AU - M. M. Mestechkin TI - Separation of spin and the fock coordinate wave function method in the $N$-representability problem JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1976 SP - 65 EP - 79 VL - 28 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a5/ LA - ru ID - TMF_1976_28_1_a5 ER -
%0 Journal Article %A G. E. Vaiman %A A. V. Luzanov %A M. M. Mestechkin %T Separation of spin and the fock coordinate wave function method in the $N$-representability problem %J Teoretičeskaâ i matematičeskaâ fizika %D 1976 %P 65-79 %V 28 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a5/ %G ru %F TMF_1976_28_1_a5
G. E. Vaiman; A. V. Luzanov; M. M. Mestechkin. Separation of spin and the fock coordinate wave function method in the $N$-representability problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 65-79. http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a5/