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
收藏
页码：33 / 46
页数：14
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