Relativistic quantum dynamics of a spin-0 massive charged particle in the presence of external fields in a Gödel-type space-time with Coulomb potentials and Aharonov–Bohm effect

• Published in: European physical journal plus Vol. 135; no. 7; p. 588
• Main Author: Ahmed, Faizuddin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Charged particles; Complex Systems; Condensed Matter Physics; Eigenvalues; Eigenvectors; Energy; Gravitational waves; Investigations; Klein-Gordon equation; Magnetic fields; Magnetic flux; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Particle spin; Physical properties; Physics; Physics and Astronomy; Quantum physics; Quantum theory; Regular Article; Relativistic effects; Spacetime; Spin dynamics; String theory; Theoretical; Vector potentials; Wave equations
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-020-00610-6

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particles in the presence of an external field in a Gödel-type space-time with potentials. We derive the radial wave equation of the Klein–Gordon equation with an external uniform magnetic field including a magnetic quantum flux subject to a Coulomb-type scalar and vector potentials in the background of the Som–Raychaudhuri space-time with a cosmic string. We solve this radial wave equation and evaluate the energy eigenvalues and eigenfunctions and analyze a relativistic analogue effect of the Aharonov–Bohm effect for bound states.