Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 1, pp. 94-112
Voir la notice de l'article provenant de la source Math-Net.Ru
Theorems on the localization of the essential spectrum of given $SO(2)$ symmetry for $n$-particle Hamiltonians in an external magnetic field are proved. The energy operators are studied for systems of arbitrary particles in the absence of an external potential field and for systems of identical particles in an external potential field. Some of the results were announced in earlier papers [1, 2].
@article{TMF_1993_97_1_a6,
author = {S. A. Vugal'ter and G. M. Zhislin},
title = {Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {94--112},
publisher = {mathdoc},
volume = {97},
number = {1},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_97_1_a6/}
}
TY - JOUR AU - S. A. Vugal'ter AU - G. M. Zhislin TI - Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1993 SP - 94 EP - 112 VL - 97 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1993_97_1_a6/ LA - ru ID - TMF_1993_97_1_a6 ER -
%0 Journal Article %A S. A. Vugal'ter %A G. M. Zhislin %T Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field %J Teoretičeskaâ i matematičeskaâ fizika %D 1993 %P 94-112 %V 97 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1993_97_1_a6/ %G ru %F TMF_1993_97_1_a6
S. A. Vugal'ter; G. M. Zhislin. Localization of the essential spectrum of the energy operators of $n$-particle quantum systems in a~magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 1, pp. 94-112. http://geodesic.mathdoc.fr/item/TMF_1993_97_1_a6/