Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 21, Tome 182 (1990), pp. 131-141
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A. V. Sobolev. The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 21, Tome 182 (1990), pp. 131-141. http://geodesic.mathdoc.fr/item/ZNSL_1990_182_a7/
@article{ZNSL_1990_182_a7,
author = {A. V. Sobolev},
title = {The asymptotics of discrete spectrum for the {Schroedinger} operator in electric and homogeneous magnetic fields},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {131--141},
year = {1990},
volume = {182},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_182_a7/}
}
TY - JOUR
AU - A. V. Sobolev
TI - The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1990
SP - 131
EP - 141
VL - 182
UR - http://geodesic.mathdoc.fr/item/ZNSL_1990_182_a7/
LA - ru
ID - ZNSL_1990_182_a7
ER -
%0 Journal Article
%A A. V. Sobolev
%T The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields
%J Zapiski Nauchnykh Seminarov POMI
%D 1990
%P 131-141
%V 182
%U http://geodesic.mathdoc.fr/item/ZNSL_1990_182_a7/
%G ru
%F ZNSL_1990_182_a7
One studies the asymptotics of bound states below the bottom of essential spectrum for the Schroedinger operator in a homogeneous magnetic and a decreasing electric fields. The electric potential is not assumed to be nonpositive. The potential integrated along the direction of magnetic field is supposed to have a power-like behaviour at infinity. The asymptotics of bound states is shown to be of a power-like character, its main term is evaluated.
