Coupling of eigenvalues of complex matrices at diabolic and exceptional points

Seyranian, Alexander, Kirillov, Oleg and Mailybaev, Alexei (2005) Coupling of eigenvalues of complex matrices at diabolic and exceptional points. Journal of Physics A: Mathematical and General, 38 (8). pp. 1723-1740. ISSN 0305-4470

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Abstract

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.

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 11:23
Last Modified:	12 Oct 2019 22:27
URI:	http://nrl.northumbria.ac.uk/id/eprint/29307

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