Noninertial effects on the Dirac oscillator in a topological defect spacetime

TL;DR

This paper investigates how noninertial effects and cosmic string topology influence the relativistic energy levels and wavefunctions of the Dirac oscillator, providing solutions and comparisons to quantum dot confinement models.

Contribution

It presents new relativistic bound state solutions for the Dirac oscillator in a noninertial cosmic string spacetime, including energy spectra and spinor solutions, and compares nonrelativistic limits to quantum dot models.

Findings

Relativistic bound states are obtained in noninertial cosmic string spacetime.

The topology affects the energy levels and wavefunctions of the Dirac oscillator.

Nonrelativistic energy levels align with quantum dot confinement models.

Abstract

In this paper, we study the influence of noninertial effects on the Dirac oscillator in the cosmic string spacetime background. We discuss the behaviour of the oscillator frequency in a noninertial system that allows us to obtain relativistic bound state solutions. We also discuss the influence of the topology of the cosmic string spacetime on the relativistic energy levels, and obtain the Dirac spinors for positive-energy solutions. Furthermore, by taking the nonrelativistic limit of the energy levels, we compare the nonrelativistic energy levels to the confinement of a spin-half particle to quantum dot described by the Tan-Inkson model for a quantum dot [W.-C. Tan and J. C. Inkson, Semicond. Sci. Technol. 11, 1635 (1996)], and a hard-wall confining potential [E. Tsitsishvili et al., Phys. Rev. B 70, 115316 (2004)].