论文标题

Aharonov-Bohm-Coulomb场的散射波函数:路径积分处理

Scattering wave functions for Aharonov-Bohm-Coulomb field: Path integral treatment

论文作者

Boudiaf, Nadira, Merdaci, Abdeldjalil, Chetouani, Lyazid

论文摘要

与(2+1)坐标空间中Aharonov-bohm和库仑字段的组合提交的DIRAC粒子有关的确切绿色功能是通过全局和局部表示中的路径积分形式分析计算的。按照这种方法提取散射归一化的波形以及相应的连续能量。因此,旋转器的有趣特性是在对称后推导的。根据绿色功能的对称形式,这表明与狄拉克方程的等效性非常轻松。还考虑了一些特殊情况。

Exact Green's functions related to Dirac particle submitted to the combination of Aharonov-Bohm and Coulomb fields in (2+1) coordinate space are analytically calculated via path integral formalism in both global and local representations. The scattering normalized wavefunctions as well as the corresponding continuous energy eigenvalues are extracted following this approach. The interesting properties of the spinors are thus deduced after symmetrization. According to the symmetric form for the Green's function, it is shown that the equivalence with Dirac equation is undertaken with much ease. Some particular cases are also considered.

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