Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 1, pp. 70-87
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Sufficient conditions are found of the finiteness of discrete spectrum of energy
operators (in terms of the coordinate and momentum representation) in the symmetry
spaces for many-particle systems for which the boundary of continuous spectrum of the
Hamiltonian is determined by the dividing into two stable subsystems. In particular,
molecules, negative ions of any atoms and systems with short-range interactions are
considered. For the systems under consideration the results obtained generalize those
known earlier.
@article{TMF_1977_32_1_a5,
author = {S. A. Vugal'ter and G. M. Zhislin},
title = {Finiteness of the discrete spectrum of many-particle {Hamiltonians} in symmetry spaces},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {70--87},
publisher = {mathdoc},
volume = {32},
number = {1},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a5/}
}
TY - JOUR AU - S. A. Vugal'ter AU - G. M. Zhislin TI - Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1977 SP - 70 EP - 87 VL - 32 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a5/ LA - ru ID - TMF_1977_32_1_a5 ER -
%0 Journal Article %A S. A. Vugal'ter %A G. M. Zhislin %T Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces %J Teoretičeskaâ i matematičeskaâ fizika %D 1977 %P 70-87 %V 32 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a5/ %G ru %F TMF_1977_32_1_a5
S. A. Vugal'ter; G. M. Zhislin. Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 1, pp. 70-87. http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a5/