Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation

Oleg Kirillov, Alexei Mailybaev, Alexander Seyranian

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43 Citations (Scopus)

Abstract

The paper presents a new 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
Pages (from-to)5531-5546
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number24
DOIs
Publication statusPublished - 1 Jun 2005

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