EN
Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe
Abstract
An alternative way of understanding physical effects in curved space time is to solve the associated particle equation such as the Dirac equation. It is a first-order relativistic wave equation and defines spin-1/2 massive particles like electrons and quarks. In this study, we solved the Dirac equation in an anisotropic rainbow universe. Subsequently, the reduced wave equation is obtained by making use of the asymptotic property of the Whittaker function. In the final stage, we calculate each component of the spin current density and then graphically evaluate their behavior according to the rainbow function. According to our results, the spin current density only depends on the z component of the momentum. In addition, the sign of both spin current densities is not changing with time. Finally, the current density amplitude in the high energy state or high scale parameter
(ϵ=0.9) is rapidly decreasing faster than in ϵ=0.6 and ϵ=0.3.
(ϵ=0.9) is rapidly decreasing faster than in ϵ=0.6 and ϵ=0.3.
Keywords
References
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Details
Primary Language
English
Subjects
Classical Physics (Other)
Journal Section
Research Article
Authors
Publication Date
March 30, 2022
Submission Date
January 3, 2022
Acceptance Date
February 24, 2022
Published in Issue
Year 2022 Volume: 43 Number: 1