On the perturbation of the quasilevels of a~Schr\"odinger operator with complex potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 252-263
Voir la notice de l'article provenant de la source Math-Net.Ru
The concepts of energy levels and quasi-levels are defined in a unique way for
three-dimensional Schrödinger operator with complex finite potential. The behaviour of
quasi-levels in the case of analytical perturbation of potential is studied. For the first
correction of the perturbation theory the analogue of the secular equation is obtained.
@article{TMF_1971_9_2_a6,
author = {T. M. Gataullin and M. V. Karasev},
title = {On the perturbation of the quasilevels of {a~Schr\"odinger} operator with complex potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {252--263},
publisher = {mathdoc},
volume = {9},
number = {2},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a6/}
}
TY - JOUR AU - T. M. Gataullin AU - M. V. Karasev TI - On the perturbation of the quasilevels of a~Schr\"odinger operator with complex potential JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1971 SP - 252 EP - 263 VL - 9 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a6/ LA - ru ID - TMF_1971_9_2_a6 ER -
%0 Journal Article %A T. M. Gataullin %A M. V. Karasev %T On the perturbation of the quasilevels of a~Schr\"odinger operator with complex potential %J Teoretičeskaâ i matematičeskaâ fizika %D 1971 %P 252-263 %V 9 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a6/ %G ru %F TMF_1971_9_2_a6
T. M. Gataullin; M. V. Karasev. On the perturbation of the quasilevels of a~Schr\"odinger operator with complex potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 252-263. http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a6/