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
收藏
页码：1230 / 1243
页数：14
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