Magnetic-Sparseness and Schrodinger Operators on Graphs

被引：6

作者：

Bonnefont, Michel ^{[1
]}

Golenia, Sylvain ^{[1
]}

Keller, Matthias ^{[2
]}

Liu, Shiping ^{[3
]}

Muench, Florentin ^{[2
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France

[2] Univ Potsdam, Inst Math, D-14476 Potsdam, Germany

[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

CHEEGER INEQUALITIES; SPECTRAL PROPERTIES; DISCRETE; LAPLACIANS; CURVATURE;

D O I：

10.1007/s00023-020-00885-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study magnetic Schrodinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnetic-sparseness turns out to be equivalent to the fact that the form domain is an l(2) space. As a consequence, we get criteria of discreteness for the spectrum and eigenvalue asymptotics.

引用

页码：1489 / 1516

页数：28

共 22 条

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