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

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dc.creatorKirillov, O. N.
dc.creatorMailybaev, A. A.
dc.creatorSeyranian, A. P.
dc.date2004-11-02
dc.date.accessioned2026-07-07T04:31:35Z
dc.date.available2026-07-07T04:31:35Z
dc.descriptionThe 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.
dc.description23 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0411006
dc.identifierhttp://arxiv.org/abs/math-ph/0411006
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 5531--5546
dc.identifierdoi:10.1088/0305-4470/38/24/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57868
dc.subjectMathematical Physics
dc.titleUnfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
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