Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown

被引：4

作者：

Kuchment, Peter ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 11期

关键词：

GREENS-FUNCTION ASYMPTOTICS; BAND-GAP STRUCTURE; EMBEDDED EIGENVALUES; ABSOLUTE CONTINUITY; SPECTRAL PROPERTIES; LIOUVILLE THEOREMS; INTERNAL EDGES; ACOUSTIC MEDIA; OPERATORS; EIGENFUNCTIONS;

D O I：

10.1063/5.0152990

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The article surveys the known results and conjectures about the analytic properties of dispersion relations and Fermi surfaces for periodic equations of mathematical physics and their spectral incarnations.

引用

页数：11