BLOCH VARIETIES OF HIGHER-DIMENSIONAL, PERIODIC SCHRODINGER OPERATORS

被引：2

作者：

Klauer, A. ^{[1
]}

Schmidt, M. U. ^{[1
]}

机构：

[1] Univ Mannheim, Lehrstuhl Math 3, D-68131 Mannheim, Germany

来源：

JOURNAL OF APPLIED ANALYSIS | 2009年 / 15卷 / 01期

关键词：

Bloch variety; periodic Schrodinger operator; Fermi curve;

D O I：

10.1515/JAA.2009.33

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We relax the regularity conditions on potentials of higher-dimensional periodic Schrodinger operators while their resolvents may still be defined as compact operators on L-2. This enables us to define the Bloch varieties locally as the zero locus of a holomorphic map in a more general setting. We also give an asymptotic description of the Fermi curve.

引用

页码：33 / 46

页数：14

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