TY - JOUR
T1 - Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
AU - Kirillov, Oleg
AU - Mailybaev, Alexei
AU - Seyranian, Alexander
PY - 2005/6/1
Y1 - 2005/6/1
N2 - 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.
AB - 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.
U2 - 10.1088/0305-4470/38/24/007
DO - 10.1088/0305-4470/38/24/007
M3 - Article
VL - 38
SP - 5531
EP - 5546
JO - Journal of Physics A: Mathematical Nuclear and General
JF - Journal of Physics A: Mathematical Nuclear and General
SN - 1751-8113
IS - 24
ER -