Weak asymptotics of the spectral shift function

被引：1

作者：

Bruneau, Vincent

Dimassi, Mouez ^{[1
]}

机构：

[1] Univ Paris 13, Dept Math, Villetaneuse, France

[2] Univ Bordeaux 1, Inst Math Bordeaux, CNRS, UMR 5251, F-33405 Talence, France

来源：

MATHEMATISCHE NACHRICHTEN | 2007年 / 280卷 / 11期

关键词：

schrodinger operator; spectral shift function; operator valued pseudodifferential operators;

D O I：

10.1002/mana.200410549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the three-dimensional Schrodinger operator with constant magnetic field of strength b > 0, and 14 with smooth electric potential. The weak asymptotics of the spectral shift function with respect to b NE arrow +infinity is studied. First, we fix the distance to the Landau levels, then the distance to Landau levels tends to infinity as b NE arrow +infinity. In particular we give explicitly the leading terms in the asymptotics and in some case we obtain full asymptotics expansions. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：1230 / 1243

页数：14

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