INFLUENCE of SPINNING TOPOLOGICAL DEFECT on the LANDAU LEVELS ofRELATIVISTIC SPIN-0 PARTICLES

Abstract

We investigate relativistic Landau quantization of spinless particle in three dimensional space-time induced by topological defect with spin through acquiring non-perturbative solution of the corresponding Klein-Gordon equation. The obtained results allow us to analyze the alterations stemming from the background geometry on the spectrum. We observe that the background geometry can be responsible not only for shifts on the relativistic Landau levels but also for symmetry breaking of the particle-antiparticle states provided that the defect possesses non-zero spin.