Heun-type solutions for the Dirac particle on the curved background of Minkowski space-times

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 equ...

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Bibliographic Details
Published in:	European physical journal plus Vol. 139; no. 6; p. 463
Main Authors:	Rahmani, S., Panahi, H., Najafizade, A.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-06-2024 Springer Nature B.V
Subjects:	Applied and Technical Physics Atomic Boundary conditions Charged particles Complex Systems Condensed Matter Physics Differential equations Dirac equation Eigenvalues Energy spectra Magnetic fields Mathematical and Computational Physics Minkowski space Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Spacetime Theoretical
Online Access:	Get full text
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Summary:	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.
ISSN:	2190-5444
DOI:	10.1140/epjp/s13360-024-05256-2