Inverse boundary value problems and the Aharonov-Bohm effect

被引：18

作者：

Eskin, G ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

INVERSE PROBLEMS | 2003年 / 19卷 / 01期

关键词：

D O I：

10.1088/0266-5611/19/1/303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse boundary value problem for the Schrodinger equation with electromagnetic or Yang-Mills potentials in multiconnected domains Omega subset of R-n, n greater than or equal to 2. We prove that if the Dirichlet-to-Neumann operators on a partial derivativeOmega are gauge equivalent then the corresponding potentials are gauge equivalent too. The multiconnectedness of Omega leads to the Aharonov-Bohm effect.

引用

页码：49 / 62

页数：14

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