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

DOI10.1088/0305-4470/38/24/007zbMath1082.81031arXivmath-ph/0411006OpenAlexW2100541365MaRDI QIDQ5462515

Alexander P. Seyranian, Alexei A. Mailybaev, Oleg N. Kirillov

Publication date: 2 August 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0411006

zbMATH Keywords

exceptional pointdiabolic pointcomplex perturbation of matricescoupling of eigenvaluesunfolding of eigenvalue surfaces

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Perturbation theories for operators and differential equations in quantum theory (81Q15) Physical optics (78A10)

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