Klein–Gordon field in spinning cosmic-string space-time with the Cornell potential

2018/06/18 by M. Hosseinpour, Mansoureh Hosseinpour, Hassan Hassanabadi +3
Physics and Astronomy · #Quantum, superfluid, helium dynamics #Quantum Mechanics and Non-Hermitian Physics #Quantum Electrodynamics and Casimir Effect

paper · doi:10.1142/s0219887818501657

Abstract

We study the relativistic quantum dynamics of a Klein–Gordon scalar field subject to a Cornell potential in spinning cosmic-string space-time, in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We solve the Klein–Gordon equation in the presence of scalar and vector interactions by utilizing the Nikiforov–Uvarov formalism and two ansätze, one of which leads to a biconfluent Heun differential equation. We obtain the wave-functions and the energy levels of the relativistic field in that space-time. We discuss the effect of various physical parameters and quantum numbers on the wave-functions.

Citations

• Rotating effects on the Dirac oscillator in the cosmic string spacetime

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