On eigenvalue surfaces near a diabolic point

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

*Corresponding author for this work

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

Abstract

The paper presents a theory of unfolding of eigenvalue surfaces of real symmetric and Hermitian matrices due to an arbitrary complex perturbation near a diabolic point. General asymptotic formulae describing deformations of a conical surface for different kinds of perturbing matrices are derived. As a physical application, singularities of the surfaces of refractive indices in crystal optics are studied.

Original languageEnglish
Title of host publication2005 International Conference on Physics and Control, PhysCon 2005, Proceedings
EditorsA L Fradkov
Place of PublicationSt Petersburg
Pages319-325
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

Fingerprint

Dive into the research topics of 'On eigenvalue surfaces near a diabolic point'. Together they form a unique fingerprint.

Cite this