Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type spacetime

Abstract

The relativistic quantum dynamics of a spinless charged particle interacting with both Aharonov-Bohm and Coulomb-type potentials in the Gödel-type spacetime is considered. The dynamics of the system is governed by the Klein-Gordon equation with interactions. We verify that it is possible to establish a quantum condition between the energy of the particle and the parameter that characterizes the vorticist of the spacetime. We rigorously analyze the ground state of the system and determine the corresponding wave functions to it.

6 pages, 6 figures

References in corpus (3)

• Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
• Effect of cosmic string on spin dynamics
• Ladder operators for Klein-Gordon equation with scalar curvature term

Cited by in corpus (4)

• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• Comment on "Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type space-time [Eur. Phys. J. Plus (2018) 133 : 530]"
• Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time