| Issue |
EPL
Volume 146, Number 1, April 2024
|
|
|---|---|---|
| Article Number | 19001 | |
| Number of page(s) | 7 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/ad2ff5 | |
| Published online | 27 March 2024 | |
Dirac oscillator in the near-horizon region of BTZ black hole
1 Department of Basic Sciences, Faculty of Science, Erzurum Technical University - 25050, Erzurum, Turkey
2 Department of Physics, University of Science & Technology Meghalaya - Ri-Bhoi, 793101, India
Received: 25 October 2023
Accepted: 4 March 2024
In this paper, we explore the evolution of a Dirac oscillator (DO) field within the near-horizon region of the Banados, Teitelboim, and Zanelli (BTZ) black hole (BH) by seeking exact solutions to the corresponding DO equation. We obtain the relativistic frequency expression and analyze the impact of various parameters implicated in it. Our findings reveal that the damped mode of this fermionic oscillator field relies on the BH mass, spin of the fermionic field, and frequency of the oscillator field. Lastly, we focus on the quantum system for a zero oscillator frequency as a specific case and thoroughly analyze the obtained results.
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