https://doi.org/10.1140/epjc/s10052-017-5154-5
Regular Article - Theoretical Physics
Relativistic scattering of fermions in quaternionic quantum mechanics
1
Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran
2
Physics Department, Shahrood University of Technology, Shahrood, Iran
3
Department of Mathematics, Krishnath College, Berhampore, Murshidabad, 742101, India
* e-mail: hadisobhani8637@gmail.com
Received:
18
June
2017
Accepted:
14
August
2017
Published online:
4
September
2017
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.
© The Author(s), 2017
