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
收藏
页码：5223 / 5237
页数：15
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