特征值曲面在双曲点附近的复摄动展开
Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
摘要：
本文给出了实对称矩阵和厄米矩阵的特征值曲面在双曲点附近受任意复扰动时的开折定理。导出了描述不同扰动矩阵的锥面变形的一般渐近公式。作为一种物理应用，研究了晶体光学中折射率曲面的奇异性。
英文摘要：
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.
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