An inverse scattering problem with the Aharonov-Bohm effect

被引：31

作者：

Nicoleau, F ^{[1
]}

机构：

[1] Univ Nantes, Dept Math, UMR 6629, F-44322 Nantes 03, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 08期

关键词：

D O I：

10.1063/1.533403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct and an inverse scattering method is developed for Schrodinger operators with electromagnetic fields in the case of obstacles in order to study the well-known Aharonov-Bohm effect. In dimension greater or equal to three, we show that the electric potential and the magnetic field are uniquely determined by the S-operator. In the two-dimensional case, some obstruction appears based on a quantification of the magnetic flux. (C) 2000 American Institute of Physics. [S0022-2488(00)03507-6].

引用

页码：5223 / 5237

页数：15

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