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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 1, Pages 220–232
DOI: https://doi.org/10.4213/tmf10440 (Mi tmf10440) 		 
Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time

T. I. Rouabhia, A. Boumali

Laboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, Tebessa, Algeria
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DOI: https://doi.org/10.4213/tmf10440
Abstract: We study the spin-$1/2$ relativistic fermions influenced by the Dirac oscillator in Rindler's space–time. The energy eigenvalues of this oscillator enable us to calculate the thermodynamic properties of this oscillator by using the Hurwitz zeta function via the Mellin transformation. The effect of the geometry of space–time on these properties is studied.
Keywords: Dirac oscillator, Rindler space–time, partition function, Hurwitz zeta function.
Received: 10.01.2023
Revised: 15.04.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 1, Pages 1609–1619
DOI: https://doi.org/10.1134/S0040577923100124
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. I. Rouabhia, A. Boumali, “Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time”, TMF, 217:1 (2023), 220–232; Theoret. and Math. Phys., 217:1 (2023), 1609–1619
Citation in format AMSBIB
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\by T.~I.~Rouabhia, A.~Boumali
\paper Statistical properties of the~one-dimensional Dirac oscillator in Rindler space--time
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\issue 1
\pages 220--232
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\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 1
\pages 1609--1619
\crossref{https://doi.org/10.1134/S0040577923100124}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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