摘要
本文将对双磁通Aharonov-Bohm(以下简称A-B)效应以约束路径积分形式进行表述。首先应用多边形法在椭柱坐标上层开路径积分求得径向(?)传播子,然后再求属于同伦类的传播子,进而求得全传播子。
In this paper we use the Feynman path integral with topological constraints to discuss the A-B effect on parallel flux lines. Firstly we use elliptic cylindrical coordinates to evaluate the radial propagator (along eμ) by polygonal paths approach. Secondly we derive the propagators belonging to different homotopy classes. Finally we get the complete propagator by summing al the homotopic propagators.
出处
《北京大学学报(自然科学版)》
CAS
CSCD
北大核心
1992年第5期583-591,共9页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金
关键词
双磁通线
全传播子
A-B散射
Aharonov-Bohm scattering on parallel flux lines
Topological constr-aints
Homotopy classes
The complete propagator