Estimates of the eigenvalues of the Schr\"odinger equation for a~system of interacting particles.~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 386-391
Voir la notice de l'article provenant de la source Math-Net.Ru
Two-sided variational estimates are obtained for some eigenvalues of a system of
particles bound by a monotonic potential $-|\mathbf r_i-\mathbf r_j |^{-1}$. The relative error in the determination of the smallest eigenvalue of the antisymmetric state of this system is reduced to $\pm0{,}16$.
@article{TMF_1978_35_3_a10,
author = {O. Ya. Savchenko},
title = {Estimates of the eigenvalues of the {Schr\"odinger} equation for a~system of interacting {particles.~I}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {386--391},
publisher = {mathdoc},
volume = {35},
number = {3},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a10/}
}
TY - JOUR AU - O. Ya. Savchenko TI - Estimates of the eigenvalues of the Schr\"odinger equation for a~system of interacting particles.~I JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1978 SP - 386 EP - 391 VL - 35 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a10/ LA - ru ID - TMF_1978_35_3_a10 ER -
%0 Journal Article %A O. Ya. Savchenko %T Estimates of the eigenvalues of the Schr\"odinger equation for a~system of interacting particles.~I %J Teoretičeskaâ i matematičeskaâ fizika %D 1978 %P 386-391 %V 35 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a10/ %G ru %F TMF_1978_35_3_a10
O. Ya. Savchenko. Estimates of the eigenvalues of the Schr\"odinger equation for a~system of interacting particles.~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 386-391. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a10/