Mathematical Justification of the Aharonov-Bohm Hamiltonian

被引：20
|
作者：
de Oliveira, Cesar R. [1 ]
Pereira, Marciano [1 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
来源：
JOURNAL OF STATISTICAL PHYSICS | 2008年 / 133卷 / 06期
关键词：
Aharonov-Bohm hamiltonian; Finite solenoid; Strong resolvent convergence;
D O I：
10.1007/s10955-008-9631-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both R-2 and R-3 spaces.
引用
收藏
页码：1175 / 1184
页数：10
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