Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 197-211
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B. S. Pavlov; N. V. Smirnov. On spectral properties of one-dimensional disperse crystals. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 197-211. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a13/
@article{ZNSL_1984_133_a13,
author = {B. S. Pavlov and N. V. Smirnov},
title = {On spectral properties of one-dimensional disperse crystals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {197--211},
year = {1984},
volume = {133},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a13/}
}
TY - JOUR
AU - B. S. Pavlov
AU - N. V. Smirnov
TI - On spectral properties of one-dimensional disperse crystals
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 197
EP - 211
VL - 133
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a13/
LA - ru
ID - ZNSL_1984_133_a13
ER -
%0 Journal Article
%A B. S. Pavlov
%A N. V. Smirnov
%T On spectral properties of one-dimensional disperse crystals
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 197-211
%V 133
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a13/
%G ru
%F ZNSL_1984_133_a13
The connection between spectral characteristics of one-dimensional Schrödinger operator $l_a(y)=-y''+q_a(x)y$ with a periodic potential $q_a=\sum_{n=-\infty}^\infty q(x-na)$ as $a\to\infty$ and spectral characteristics of the Schrödinger operator $l(y)=-y''+q(x)y$ with decreasing potential $q(x)$ is studed.
