Strong and weak coupling of eigenvalues of complex matrices

Alexei Mailybaev, O. N. Kirillov, A. P. Seyranian

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

The paper presents a general theory of coupling of eigenvalues of complex matrices of arbitrary dimension smoothly 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 numerical examples from crystal optics Illustrate effectiveness and accuracy of the presented theory.

Original languageEnglish
Title of host publication2005 International Conference on Physics and Control, PhysCon 2005, Proceedings
EditorsA L Fradkov
Place of PublicationSt Petersburg
Pages312-318
Number of pages7
Volume2005
DOIs
Publication statusPublished - 2005
Externally publishedYes
Event2005 International Conference on Physics and Control, PhysCon 2005 - St. Petersburg, Russian Federation
Duration: 24 Aug 200526 Aug 2005

Conference

Conference2005 International Conference on Physics and Control, PhysCon 2005
CountryRussian Federation
CitySt. Petersburg
Period24/08/0526/08/05

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