Existence of resonances in magnetic scattering

被引：7
|
作者：
Hitrik, M [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 148卷 / 01期
关键词：
magnetic Schrodinger operator; resonances; heat invariants;
D O I：
10.1016/S0377-0427(02)00575-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Schrodinger operator with a compactly supported magnetic field is shown to produce infinitely many resonances, in any odd dimension greater than or equal to 3. The proof is based on the Poisson formula for resonances and properties of the magnetic heat invariants. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：91 / 97
页数：7
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