Abstract
We examine the effects of gravitational fields produced by topological defects on a Dirac field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the eigenfunctions and the energy levels of the relativistic field in that background and consider the effect of various parameters, such as the frequency of the rotating frame, the oscillator’s frequency, the string density and other quantum numbers.
Highlights
The Dirac equation with interactions linear in the coordinates was initially studied in Refs. [1,2,3]. Such a system was referred to as a ‘Dirac oscillator’ in Ref. [4], because, in the non-relativistic limit, it behaves as a harmonic oscillator with a strong spin-orbit coupling term
This model describes the dynamics of a harmonic oscillator for spin-half particles and is obtained by introducing a non-minimal prescription into the free Dirac Eq [4]
We examine the relativistic quantum dynamics of Dirac oscillator on the curved spacetime of a rotating cosmic string
Summary
The Dirac equation with interactions linear in the coordinates was initially studied in Refs. [1,2,3]. The Dirac equation with interactions linear in the coordinates was initially studied in Refs. Let us mention many studies of the Dirac oscillator with topological defects and cosmic string spacetimes in Refs. We examine the relativistic quantum dynamics of Dirac oscillator on the curved spacetime of a rotating cosmic string. 2, we write down the covariant Dirac equation without oscillator in a spinning cosmic string spacetime, and find its wave-functions and energy eigenvalues. 3, we present the covariant Dirac oscillator in the same spacetime and obtain the wave-functions and energy spectrum. The generalized Dirac matrices γ μ in curved spacetime are related to their Minkowski counterparts via γ μ (x) = eaμγ a. Let us write the solution of Eq (41) in terms of the new function F(ρ) defined as φ (ρ )
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