Effect of internal magnetic flux on a relativistic spin-1 oscillator in the spinning point source-generated spacetime

TL;DR

This paper analytically investigates how internal magnetic flux and the spin of a point source influence the relativistic dynamics of a charged spin-1 oscillator in a 2+1D spacetime, revealing effects on energy levels and particle behavior.

Contribution

It provides an exact, non-perturbative solution for the relativistic spin-1 oscillator affected by magnetic flux and source spin, highlighting their impact on system dynamics and symmetry breaking.

Findings

Magnetic flux can change the spin nature of the system, making it behave as fermion or boson.

Internal magnetic flux and source spin alter energy levels and probability densities.

Spin of the point source breaks particle-antiparticle energy level symmetry.

Abstract

We consider a charged relativistic spin-1 oscillator under the influence of an internal magnetic flux in a 2+1 dimensional spacetime induced by a spinning point source. In order to analyze the effects of the internal magnetic flux and spin of the point source on the relativistic dynamics of such a vector field, we seek a non-perturbative solution of the associated spin-1 equation derived as an excited state of Zitterbewegung. By performing an analytical solution of the resulting equation, we determine exact results for the system in question. Accordingly, we analyze the effects of spin of the point source and internal magnetic flux on the relativistic dynamics of the considered test field. We see that the spin of such a field can be altered by the magnetic flux and this means that the considered system may behave as a fermion or boson according to the varying values of the magnetic flux, in principle. We observe that the internal magnetic flux and the spin of the point source impact on the relativistic energy levels and probability density functions. Also, our results indicate that the spin of the point source breaks the symmetry of the energy levels corresponding to particle-antiparticle states.