Coupling of eigenvalues of complex matrices at diabolic and exceptional points

被引：121

作者：

Seyranian, AP ^{[1
]}

Kirillov, ON ^{[1
]}

Mailybaev, AA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Inst Mech, Moscow 119192, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 08期

关键词：

D O I：

10.1088/0305-4470/38/8/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper presents a general theory of coupling of eigenvalues of complex matrices of an arbitrary dimension depending on real parameters. The cases of weak and strong coupling are distinguished and their geometric interpretation in two and three-dimensional spaces is given. General asymptotic formulae for eigenvalue surfaces near diabolic and exceptional points are presented demonstrating crossing and avoided crossing scenarios. Two physical examples illustrate effectiveness and accuracy of the presented theory.

引用

页码：1723 / 1740

页数：18

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