A local trace formula for resonances of perturbed periodic Schrodinger operators

被引：14

作者：

Dimassi, M ^{[1
]}

Zerzeri, M ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, LAGA, F-93430 Villetaneuse, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 198卷 / 01期

关键词：

periodic; resonance; trace;

D O I：

10.1016/S0022-1236(02)00063-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a local trace formula for the pair (P-1 (h) = P-o + W(hy), P-o), where P-o is a periodic Schrodinger operator, W is a decreasing perturbation and It is a small positive parameter. We apply this result to establish the existence of similar toh(-n) resonances near some energy lambda of sigma (P-o). (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：142 / 159

页数：18

共 50 条

[31] SCHRODINGER OPERATORS AND THE DISTRIBUTION OF RESONANCES IN SECTORS
Christiansen, Tanya J.
ANALYSIS & PDE, 2012, 5 (05): : 961 - 982
[32] Existence of resonances for matrix Schrodinger operators
Nédélec, L
ASYMPTOTIC ANALYSIS, 2003, 35 (3-4) : 301 - 324
[33] A semi-classical trace formula for Schrodinger operators in the case of a critical energy level
KhuatDuy, D
JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 146 (02) : 299 - 351
[34] Schrodinger operators periodic in octants
Korotyaev, Evgeny
Moller, Jacob Schach
LETTERS IN MATHEMATICAL PHYSICS, 2021, 111 (02)
[35] A trace formula for Hankel operators
Gheondea, A
Ober, RJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (07) : 2007 - 2012
[36] TRACE FORMULA FOR DISSIPATIVE OPERATORS
ADAMYAN, VM
PAVLOV, BS
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1979, (02): : 5 - 9
[37] A TRACE FORMULA FOR HECKE OPERATORS
KALININ, VL
MATHEMATICS OF THE USSR-SBORNIK, 1982, 119 (3-4): : 411 - 423
[38] TRACE FORMULA FOR HECKE OPERATORS
SHIMURA, G
ACTA MATHEMATICA, 1974, 132 (3-4) : 245 - 281
[39] TRACE FORMULA FOR HILL OPERATORS
SUNADA, T
DUKE MATHEMATICAL JOURNAL, 1980, 47 (03) : 529 - 546
[40] TRACE FORMULA FOR HECKE OPERATORS
ISHIKAWA, H
JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1973, 20 (02): : 217 - 238

← 1 2 3 4 5 →