Relativistic quantum dynamics of spin-0 massive charged particle in the presence of external fields in 4D curved space-time with a cosmic string

Abstract

In this work, we investigate the relativistic quantum dynamics of spin-0 massive charged particles in a 4D curved space-time, the generalization of a cosmic string space-time. We investigate the Klein-Gordon equation in the presence of external fields in the considered framework. We also investigate a quantum particle described by the Klein-Gordon oscillator in the curved background space-time in the presence of external fields. We see that the energy eigenvalues get modifies in comparison to the results obtained in a cosmic string spacetime.

Conformal bridge in a cosmic string background

“…Geometrically, such supercharges are associated with the so-called Yano and conformal Yano tensors [21,22,23,24]. Some other examples related to the particle dynamics in curved spaces can be found in references [25,26,27,28,29,30,31,32,33,34,35].…”

“…The effects of the presence of the cosmic string was examined in different physical contexts, see, e.g., refs. [46,47,48,49,50,27,31,33,34,35]. Our goal here is to study the influence of the geometrical properties of this background (encoded in a "geometrical parameter" α given in terms of the linear mass density of the string) on the dynamics of the systems from the perspective of well-defined integrals of motion in the phase space when considering classical cases, and well-defined symmetry operators for the corresponding quantum versions of the systems.…”

Conformal bridge in a cosmic string background

“…Geometrically, such supercharges are associated with the so-called Yano and conformal Yano tensors [21][22][23][24]. Some other examples related to the particle dynamics in curved spaces can be found in references [25][26][27][28][29][30][31][32][33][34][35].…”

“…The effects of the presence of the cosmic string was examined in different physical contexts, see, e.g., refs. [27,31,[33][34][35][46][47][48][49][50]. Our goal here is to study the influence of the geometrical properties of this background (encoded in a "geometrical parameter" α given in terms of the linear mass density of the string) on the dynamics of the systems from the perspective of well-defined integrals of motion in the phase space when considering classical cases, and well-defined symmetry operators for the corresponding quantum versions of the systems.…”

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 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]. In addition, the relativistic wave equations in the ð1 + 2Þ-dimensional rotational symmetry spacetime background were investigated in [20][21][22][23][24][25].…”