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 wavefunctions to it.

Aharonov–Bohm effect for bound states on spin-0 massive charged particles in a Gödel-type space–time with Coulomb potential

“…Substituting the above power series solution (25) into equation (23), we obtain the following recurrence relation for the coefficients:…”

“…The behavior of scalar particles with Yukawa-like confining potential in the Som-Raychaudhuri space-time in the presence of topological defects was investigated in [22]. The ground state of a bosonic massive charged particle in the presence of external fields in the Som-Raychaudhuri space-time was investigated in [23]. Recently, we pointed out in [24] that the derived radial wave equation of the Klein-Gordon equation in the Som-Raychaudhuri space-time in the presence of external fields in [23] was incorrect.…”

“…The ground state of a bosonic massive charged particle in the presence of external fields in the Som-Raychaudhuri space-time was investigated in [23]. Recently, we pointed out in [24] that the derived radial wave equation of the Klein-Gordon equation in the Som-Raychaudhuri space-time in the presence of external fields in [23] was incorrect. The relativistic quantum dynamics of spin-0 massive charged particles in the presence of external fields in a four-dimensional curved space-time was investigated in [25].…”

Relativistic Quantum Motion of an Electron in Spinning Cosmic String Spacetime in the Presence of Uniform Magnetic Field and Aharonov-Bohm Potential

“…Also, it is possible to conceive cosmologic models with rotation [50]. The study of quantum systems in spinning spacetimes also has been reported in the literature [51][52][53]. Noninertial effects in quantum systems can provide novel theoretical predictions and feasible experimental developments.…”

Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

“…The behavior of a scalar particle with Yukawa-like confining potential in the Som-Raychaudhuri space-time in the presence of topological defects was investigated in [16]. The ground state of a bosonic massive charged particle in the presence of external fields in Gödel-type space-time was investigated in [17] (see also [18]). The relativistic quantum dynamics of spin-zero particles in 4D curved space-time with the cosmic string subject to a homogeneous magnetic field was studied in [19].…”