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
收藏
页码：49 / 62
页数：14
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