Torsional rigidity, isospectrality and quantum graphs

被引：2

作者：

Colladay, Don ^{[1
]}

Kaganovskiy, Leon ^{[2
]}

McDonald, Patrick ^{[1
]}

机构：

[1] New Coll Florida, Div Nat Sci, Sarasota, FL 34243 USA

[2] Touro Coll, Dept Math, Brooklyn, NY USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 03期

关键词：

quantum graphs; torsional rigidity; heat content; isospectral; HEAT-CONTENT; METRIC GRAPHS; DOMAINS; TRACE;

D O I：

10.1088/1751-8121/50/3/035201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study torsional rigidity for graph and quantum graph analogs of wellknown pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity.

引用

页数：15

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