Asymptotic behavior of~the eigenvalues of~many-particle Hamiltonians on~subspaces of~functions of~a~given symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 236-246
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For many-particle Hamiltonians with Coulomb interaction asymptotic expressions are obtained for eigenvalues corresponding to states with given orbital angular momentum $L$, spin, and parity in the limit $L\to\infty$. Asymptotic expressions are given for the eigenfunctions of the ground states for the given symmetry.
@article{TMF_1990_83_2_a6,
author = {S. A. Vugal'ter},
title = {Asymptotic behavior of~the eigenvalues of~many-particle {Hamiltonians} on~subspaces of~functions of~a~given symmetry},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {236--246},
publisher = {mathdoc},
volume = {83},
number = {2},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/}
}
TY - JOUR AU - S. A. Vugal'ter TI - Asymptotic behavior of~the eigenvalues of~many-particle Hamiltonians on~subspaces of~functions of~a~given symmetry JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1990 SP - 236 EP - 246 VL - 83 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/ LA - ru ID - TMF_1990_83_2_a6 ER -
%0 Journal Article %A S. A. Vugal'ter %T Asymptotic behavior of~the eigenvalues of~many-particle Hamiltonians on~subspaces of~functions of~a~given symmetry %J Teoretičeskaâ i matematičeskaâ fizika %D 1990 %P 236-246 %V 83 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/ %G ru %F TMF_1990_83_2_a6
S. A. Vugal'ter. Asymptotic behavior of~the eigenvalues of~many-particle Hamiltonians on~subspaces of~functions of~a~given symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 236-246. http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a6/