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

Kirillov, Oleg, Mailybaev, Alexei and Seyranian, Alexander (2005) Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation. Journal of Physics A: Mathematical and General, 38 (24). pp. 5531-5546. ISSN 0305-4470

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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.

Item Type:	Article
Subjects:	F300 Physics G100 Mathematics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Oleg Kirillov
Date Deposited:	23 Jan 2017 11:32
Last Modified:	12 Oct 2019 22:27
URI:	http://nrl.northumbria.ac.uk/id/eprint/29306

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