Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 157-162
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S. V. Khryashchev. On the discrete spectrum of a perturbed periodic Schrödinger operator. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 157-162. http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a7/
@article{ZNSL_1991_190_a7,
author = {S. V. Khryashchev},
title = {On the discrete spectrum of a perturbed periodic {Schr\"odinger} operator},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {157--162},
year = {1991},
volume = {190},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a7/}
}
TY - JOUR
AU - S. V. Khryashchev
TI - On the discrete spectrum of a perturbed periodic Schrödinger operator
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1991
SP - 157
EP - 162
VL - 190
UR - http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a7/
LA - ru
ID - ZNSL_1991_190_a7
ER -
%0 Journal Article
%A S. V. Khryashchev
%T On the discrete spectrum of a perturbed periodic Schrödinger operator
%J Zapiski Nauchnykh Seminarov POMI
%D 1991
%P 157-162
%V 190
%U http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a7/
%G ru
%F ZNSL_1991_190_a7
A perturbed periodic Schrödinger operator is considered. Conditions for the discrete spectrum in a gap to be finite or infinite are stated. In the case of infinite spectrum a standard asymptotic formula for eigenvalues is justified under certain conditions. The results are formulated in terms of a model problem.
