Gravitational Field Effects Produced by Topologically Non-Trivial Geometry and Rotating Frames Subject to a Coulomb-Type Scalar Potential

• Published in: Journal of experimental and theoretical physics Vol. 135; no. 5; pp. 655 - 662
• Main Author: Ahmed, F.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.11.2022; Springer; Springer Nature B.V
• Subjects: Analysis; Astrophysics; Classical and Quantum Gravitation; Eigenvalues; Elementary Particles; Energy levels; Fields; Gravitation; Gravitational effects; Gravitational fields; Gravity; Inertial reference systems; Klein-Gordon equation; Magnetic flux; Nuclei; Oscillators; Particle and Nuclear Physics; Particles; Physics; Physics and Astronomy; Quantum Field Theory; Relativity Theory; Rotation; Solid State Physics; Topology
• ISSN: 1063-7761; 1090-6509
• DOI: 10.1134/S1063776122110140

>Abstract In this paper, the effects of the gravitational field produced by a topologically non-trivial geometry in a rotating frame of reference under the influence of quantum flux with a Coulomb-type scalar potential is investigated. We solve the Klein–Gordon equation and determine the eigenvalue solution analytically. Afterwards, we analyze a spin-zero relativistic quantum oscillator model described by the KG-oscillator and determines the eigenvalue solutions. We show that the eigenvalue solutions in both case gets modified by the non-trivial topology, non-inertial reference frame, and the scalar potential. Furthermore, the energy levels shifts due to the presence of the magnetic flux which gives us an analogue of the Aharonov–Bohm effect for the bound-state.