Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
Mathematical Physics
2007-05-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0411006,
title = {Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation},
author = {O. N. Kirillov and A. A. Mailybaev and A. P. Seyranian},
journal= {arXiv preprint arXiv:math-ph/0411006},
year = {2007}
}
Comments
23 pages, 7 figures