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.
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页码：142 / 159
页数：18
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