Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle Schr\"{o}dinger operator with a~hard-core potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 2, pp. 225-229
Voir la notice de l'article provenant de la source Math-Net.Ru
An estimate is obtained for $|\lambda_i-\lambda_i^M|$, where $\lambda_i$ and $\lambda_i^M$ are, respectively, the eigenvalues
of the operators $H=-\Delta+V(x)$ and $H_M=-\Delta+V_M(x)$, $x=(x_1,x_2,x_3)$, the function $V(x)$ is
singular for $|x|$, $a>0$,
$V_M(x)=\min_x\{M,V(x)\}$, and $M$ is a sufficiently large positive
number.
@article{TMF_1971_6_2_a7,
author = {A. M. Pyzh'yanov},
title = {Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle {Schr\"{o}dinger} operator with a~hard-core potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {225--229},
publisher = {mathdoc},
volume = {6},
number = {2},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/}
}
TY - JOUR
AU - A. M. Pyzh'yanov
TI - Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle Schr\"{o}dinger operator with a~hard-core potential
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1971
SP - 225
EP - 229
VL - 6
IS - 2
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/
LA - ru
ID - TMF_1971_6_2_a7
ER -
%0 Journal Article
%A A. M. Pyzh'yanov
%T Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle Schr\"{o}dinger operator with a~hard-core potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 225-229
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/
%G ru
%F TMF_1971_6_2_a7
A. M. Pyzh'yanov. Estimate of~the~perturbation of~the~eigenvalues of~a~two-particle Schr\"{o}dinger operator with a~hard-core potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 2, pp. 225-229. http://geodesic.mathdoc.fr/item/TMF_1971_6_2_a7/