Lieb-Thirring estimates for non-self-adjoint Schrodinger operators

被引：21

作者：

Bruneau, Vincent ^{[1
]}

Ouhabaz, El Maati ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 09期

关键词：

D O I：

10.1063/1.2969028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For general nonsymmetric operators A, we prove that the moment of order gamma >= 1 of negative real parts of its eigenvalues is bounded by the moment of order gamma of negative eigenvalues of its symmetric part H=1/2[A+A*]. As an application, we obtain Lieb-Thirring estimates for non-self-adjoint Schrodinger operators. In particular, we recover recent results by Frank et al. [Lett. Math. Phys. 77, 309 (2006)]. We also discuss moment of resonances of Schrodinger self-adjoint operators. (C) 2008 American Institute of Physics.

引用

页数：10

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