Dirac/Rarita–Schwinger plus Maxwell theories in ℝ × S3 spacetime in the Hopf coordinates-Reference-Cited by-同舟云学术

Dirac/Rarita–Schwinger plus Maxwell theories in ℝ × S3 spacetime in the Hopf coordinates

Published:2020-10-13 Issue:13 Volume:17 Page:2050197
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Dzhunushaliev Vladimir¹²³⁴^ORCID,Folomeev Vladimir²³⁴⁵

Affiliation:

1. Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

2. Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

3. National Nanotechnology Laboratory of Open Type, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

4. Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek 720071, Kyrgyzstan

5. International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk 634050, Russia

Abstract

We consider the sets of Dirac–Maxwell and Rarita–Schwinger–Maxwell equations in [Formula: see text] spacetime. Using the Hopf coordinates, we show that these equations allow separation of variables and obtain the corresponding analytic and numerical solutions. It is also demonstrated that the current of the Dirac field is related to the Hopf invariant on the [Formula: see text] fibration.

Funder

Ministry of Education

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887820501972

Reference14 articles.

1. Relativistic Quantum Mechanics. Wave Equations

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