https://doi.org/10.1140/epjp/s13360-024-05256-2
Regular Article
Heun-type solutions for the Dirac particle on the curved background of Minkowski space-times
Department of Physics, Faculty of Basic Science, University of Guilan, 41635-1914, Rasht, Iran
Received:
23
August
2023
Accepted:
8
May
2024
Published online:
1
June
2024
In this paper, we study the Dirac equation in the background of Minkowski space-time on a light cone. With coupling of the radial equations, they are reduced to two different second-order differential equations, which coincide with a particle in leading potentials. It turns out that these radial equations reduce to Heun-type and provide energy spectra. In other words, these expressions give meaning to a spinless charged particle in the context of the magnetic field.
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