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Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time

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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.

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Acknowledgments

The authors express our gratitude to the referee for their careful review of our manuscript and the valuable suggestions.

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Authors and Affiliations

  1. Laboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, Tebessa, Algeria

    T. I. Rouabhia & A. Boumali

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  1. T. I. Rouabhia
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  2. A. Boumali
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Correspondence to A. Boumali.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 217, pp. 220–232 https://doi.org/10.4213/tmf10440.

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Rouabhia, T.I., Boumali, A. Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time. Theor Math Phys 217, 1609–1619 (2023). https://doi.org/10.1134/S0040577923100124

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  • DOI: https://doi.org/10.1134/S0040577923100124

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