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

Abstract

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particles in a Gödel-type space–time with electromagnetic interactions. We derive the radial wave equation of the Klein–Gordon equation with an internal magnetic flux field and Coulomb-type potential in the Som–Raychaudhuri space–time with cosmic string. We solve this equation and analyze the analog effect in relation to the Aharonov–Bohm effect for bound states.

Aharonov–Bohm effect on the generalized Duffin–Kemmer–Petiau oscillator in the Som–Raychaudhuri spacetime

“…The Aharonov-Bohm potential has been widely discussed in curved space-time. [65][66][67] In zero magnetic field region, the charged particle move along path P . This particle obtain a phase shift…”

Aharonov-Bohm effect on spin-$0$ scalar massive charged particle with a uniform magnetic field in Som-Raychaudhuri space-time with a cosmic string

“…It is worth mentioning that the Aharonov-Bohm effect [36,37] has investigated in graphene [38], in Newtonian theory [39], in bound states of massive fermions [40], in scattering of dislocated wave fronts [41], with torsion effects on a relativistic position-dependent mass system [42,43,44], bound states of spin-0 massive charged particles [26,45,46,47,48]. In addition, this effect has investigated in the context of the Kaluza-Klein theory [49,50,51,52,53,54], and with a non-minimal Lorentz-violating coupling [55].…”

“…Spin-0 massive charged particle in the presence of external field in a Gödel-type space-time was investigated in [23]. Other works are the scalar field subject to a Cornell potential [24], survey on the Klein-Gordon equation [25], and spin-0 massive charged particles in the presence of a uniform magnetic field in a flat class of Gödel-type space-time [23], bound states solution of spin-0 massive in a Gödel-type space-time with Coulomb potential [26]. In addition, spin-half particles have been studied in Gödel-type space-time [9], in the Som-Raychaudhuri space-time with torsion and cosmic string [27], with topological defect [28], Dirac Fermi field in a topologically trivial flat Gödel-otype space-time was investigated [29],…”

“…Consider the following Som-Raychaudhuri (SR) space-time with a cosmicstring given by [11,26,22,30,31]…”

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

“…In particular, in this contribution, we choose to deal with a superposition of two different configurations, due to their fundamental aspects: a uniform magnetic field, which is related to the raising of Landau levels in quantum systems, and an Aharonov-Bohm flux, since it provides a new significance to the role of the electromagnetic interactions in the quantum theory, which can be manifested even for bound states [73]. Besides, several analogs of the AB effect can emerge in spacetimes with topological defects [74][75][76].…”