Dirac oscillator in the near-horizon region of BTZ black hole
Abdullah Güvendi, Faizuddin Ahmed
Abstract
Abstract 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.
Topics & Concepts
BTZ black holePhysicsHorizonQuantum electrodynamicsDirac (video compression format)Black hole (networking)Mathematical physicsQuantum mechanicsExtremal black holeAstronomyCharged black holeComputer scienceComputer networkNeutrinoLink-state routing protocolRouting protocolRouting (electronic design automation)Black Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsAstrophysics and Cosmic Phenomena