Effects of rotating frames of reference and Cornell-type potential on modified quantum oscillator field in magnetic cosmic string space–time

• Published in: International journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 37; no. 18
• Main Author: Ahmed, Faizuddin
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 30.06.2022; World Scientific Publishing Co. Pte., Ltd
• Subjects: Eigenvalues; Energy spectra; Magnetic flux; Oscillators; Perturbation; Physics; Rotation; Strings; Wave equations; biconfluent Heun’s equation; bound states; Kaluza–Klein theory; solutions of wave equations; relativistic wave equations
• ISSN: 0217-751X; 1793-656X
• DOI: 10.1142/S0217751X22501226

In this paper, a relativistic quantum oscillator model analog to the Dirac oscillator under the effects of a uniform rotating frame of reference in a five-dimensional magnetic cosmic string space–time subject to a Cornell-type scalar potential is analyzed. We discuss the influences of topological defects, the magnetic flux, and the scalar potential on the eigenvalue solution of the wave equation. We see that the presence of uniform rotating frame causes the perturbation of the energy spectrum around E n , l , k , q = 0 and observe the Sagnac-type effect. Furthermore, we show that the energy eigenvalue depends on the geometric quantum phase which gives rise to the gravitational analog of the Aharonov–Bohm effect.