Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe

Evrim Ersin Kangal

doi:10.17776/csj.1052798

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.

Keywords

References

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Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Evrim Ersin Kangal ^*
0000-0001-5906-3143
Türkiye

Publication Date

March 30, 2022

Submission Date

January 3, 2022

Acceptance Date

February 24, 2022

Published in Issue

Year 2022 Volume: 43 Number: 1

DOI

https://doi.org/10.17776/csj.1052798

IZ

https://izlik.org/JA95HU53TF

Cite

RIS / Bibtex

APA

Kangal, E. E. (2022). Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe. Cumhuriyet Science Journal, 43(1), 132-136. https://doi.org/10.17776/csj.1052798

AMA

1.Kangal EE. Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe. CSJ. 2022;43(1):132-136. doi:10.17776/csj.1052798

Chicago

Kangal, Evrim Ersin. 2022. “Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe”. Cumhuriyet Science Journal 43 (1): 132-36. https://doi.org/10.17776/csj.1052798.

EndNote

Kangal EE (March 1, 2022) Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe. Cumhuriyet Science Journal 43 1 132–136.

IEEE

[1]E. E. Kangal, “Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe”, CSJ, vol. 43, no. 1, pp. 132–136, Mar. 2022, doi: 10.17776/csj.1052798.

ISNAD

Kangal, Evrim Ersin. “Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe”. Cumhuriyet Science Journal 43/1 (March 1, 2022): 132-136. https://doi.org/10.17776/csj.1052798.

JAMA

1.Kangal EE. Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe. CSJ. 2022;43:132–136.

MLA

Kangal, Evrim Ersin. “Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe”. Cumhuriyet Science Journal, vol. 43, no. 1, Mar. 2022, pp. 132-6, doi:10.17776/csj.1052798.

Vancouver

1.Evrim Ersin Kangal. Dynamics of the Dirac Particle in an Anisotropic Rainbow Universe. CSJ. 2022 Mar. 1;43(1):132-6. doi:10.17776/csj.1052798