On Quantitative Bounds on Eigenvalues of a Complex Perturbation of a Dirac Operator

被引：16

作者：

Dubuisson, Clement ^{[1
]}

机构：

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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2014年 / 78卷 / 02期

关键词：

Dirac operator; complex perturbation; discrete spectrum; Lieb-Thirring type inequality; conformal mapping; perturbation determinant; LIEB-THIRRING INEQUALITIES; BLASCHKE-TYPE CONDITION;

D O I：

10.1007/s00020-013-2112-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Lieb-Thirring type inequality for a complex perturbation of a d-dimensional massive Dirac operator whose spectrum is . The difficulty of the study is that the unperturbed operator is not bounded from below in this case, and, to overcome it, we use the methods of complex function theory. The methods of the article also give similar results for complex perturbations of the Klein-Gordon operator.

引用

页码：249 / 269

页数：21