Coupling of eigenvalues of complex matrices at diabolic and exceptional points

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dc.creatorMailybaev, A. A.
dc.creatorKirillov, O. N.
dc.creatorSeyranian, A. P.
dc.date2004-11-05
dc.date2005-01-07
dc.date.accessioned2026-07-07T04:31:36Z
dc.date.available2026-07-07T04:31:36Z
dc.descriptionThe paper presents a general theory of coupling of eigenvalues of complex matrices of 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.
dc.description19 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0411024
dc.identifierhttp://arxiv.org/abs/math-ph/0411024
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 1723-1740.
dc.identifierdoi:10.1088/0305-4470/38/8/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57876
dc.subjectMathematical Physics
dc.subject15A21
dc.titleCoupling of eigenvalues of complex matrices at diabolic and exceptional points
dc.typetext

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