Relativistic scattering of fermions in quaternionic quantum mechanics

被引：18

作者：

Hassanabadi, Hassan ^{[1
]}

Sobhani, Hadi ^{[1
]}

Banerjee, Abhijit ^{[2
]}

机构：

[1] Shahrood Univ Technol, Phys Dept, POB 3619995161-316, Shahrood, Iran

[2] Krishnath Coll, Dept Math, Berhampur 742101, Murshidabad, India

来源：

EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 09期

关键词：

TIME-DEPENDENT INTERACTION; ELECTRON THEORY; EQUATION;

D O I：

10.1140/epjc/s10052-017-5154-5

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex version of this equation can be covered. After setting a quaternionic form for the Dirac delta potential, scattering due to the considered interaction has been studied. Wave functions and discontinuity conditions of the problem considered have been derived in detail. Using the continuity equation, we have found a constraint implying the conservation law of the probability current.

引用

页数：5

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