Spin-1/2 relativistic particle in topologically charged Ellis-Bronnikov-type wormhole spacetime

Le résumé fourni par la source

Abstract In this paper, we investigate, via the Dirac equation, the behavior of the harmonic oscillator and the modified harmonic oscillator in the presence of a wormhole with a global monopole and a cosmic string. In particular, we examine the Dirac spinor and the eigenenergies in the region r ≫ b , where b is the throat radius of the wormhole. This region is physically important as it preserves the physical laws as well as causality in the line element. We find that both the effective angular momentum and the eigenenergies are influenced by the topological defects via the global monopole and the cosmic string, as well as by the wormhole. Finally, by considering some asymptotic cases, such as the small wormhole limit and the spacetime limit of the cosmic string with a global monopole, we examine the connection of our results with the Dirac oscillator in other contexts. We also examine the thermodynamic properties for both oscillators, and they are affected by the topological defects and the wormhole.

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