Resonances for Dirac operators on the half-line

被引：16

作者：

Iantchenko, Alexei ^{[1
]}

Korotyaev, Evgeny ^{[2
]}

机构：

[1] Malmo Hogskola, S-20506 Malmo, Sweden

[2] St Petersburg State Univ, Fac Phys, Dept Math Phys, St Petersburg 198904, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 420卷 / 01期

关键词：

Resonances; 1D Dirac; Modified Fredholm determinant; ONE-DIMENSION; REAL LINE; SCATTERING; ABSORPTION; EQUATIONS; SYSTEMS; MATRIX; POLES;

D O I：

10.1016/j.jmaa.2014.05.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the 1D Dirac operator on the half-line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: (1) asymptotics of counting function, (2) estimates on the resonances and the forbidden domain. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：279 / 313

页数：35

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