Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

Abstract

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

The generalized Klein–Gordon oscillator in a cosmic space-time with a space-like dislocation and the Aharonov–Bohm effect

“…In this paper we examine the dynamics of relativistic quantum particles in a curved space-time. Therefore, we use the K-G equation that is given by [6,10,34] 1…”

“…However, we choose the scalar and vector potential energies from the unequal amplitude Cornell-type potential energies [3,10,11] f (r) = br Here, H, is the Hamilton operator given as…”

“…Boumali and Messai considered a cosmic string background and investigated the K-G oscillator with and without magnetic field [9]. Hossseini et al revisited the problem with a Cornell potential [10]. Note that, the Cornell potential energy was explored in Minkowski space-time as well [11].…”

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

“…The Klein-Gordon oscillator [1,2] was inspired by the Dirac oscillator [3] applied to spin-ð1/2Þ particles. The Klein-Gordon oscillator has been investigated in several physical systems, such as in the background of the cosmic string with external fields [4], in the presence of a Coulomb-type potential considering two ways: (i) by modifying the mass term m ⟶ m + S [5] and (ii) via the minimal coupling [6] with a linear potential, in the background space-time produced by topological defects using the Kaluza-Klein theory [7], in the Som-Raychaudhuri space-time in the presence of external fields [8], in the motion of an electron in an external magnetic field in the presence of screw dislocations [9], in the continuous distribution of screw dislocation [10], in the presence of a Cornell-type potential in a cosmic string space-time [11], in the relativistic quantum dynamics of a DKP oscillator field subject to a linear scalar potential [12], in the DKP equation for spin-zero bosons subject to a linear scalar potential [13], and in the Dirac equation subject to a vector and scalar potentials [14]. In the literature, it is known that a cosmic string has been produced by phase transitions in the early universe [15] as it is predicted in the extensions of the standard model [16,17].…”

The Dirac equation in a class of topologically trivial flat Gödel-type space-time backgrounds

“…The obtained eigenvalues of energy in these different classes of Gödel-type space-times are found different and the results are enough significant [71,76]. Other works are the quantum dynamics of Klein-Gordon scalar field subject to Cornell potential [82], survey on the Klein-Gordon equation in a class of Gödel-type space-times [83], the Dirac-Weyl equation in graphene under a magnetic field [84], effects of cosmic string framework on thermodynamical properties of anharmonic oscillator [85], study of bosons for three special limits of Gödel-type space-times [86], the Klein-Gordon oscillator in the presence of Cornell potential in the cosmic string space-time [87], the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time with interaction of a DKP field with the gravitational field produced by topological defects investigated in [88], the Klein-Gordon field in spinning cosmic string space-time with the Cornell potential [89], the relativistic spin-zero bosons in a Som-Raychaudhuri space-time investigated in [90], investigation of the Dirac equation using the conformable fractional derivative [91], effect of the Wigner-Dunkl algebra on the Dirac equation and Dirac harmonic oscillator investigated in [92], investigation of the relativistic dynamics of a Dirac field in the Som-Raychaudhuri space-time, which is described by Gödel-type metric and a stationary cylindrical symmetric solution of Einstein's field equations for a charged dust distribution in rigid rotation [93], investigation of relativistic free bosons in the Gödel-type spacetimes [94], investigation of relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time to understand the effects of gravitational fields produced by topological defects on the scalar field [95], the behaviour of relativistic spin-zero bosons in the space-time generated by a spinning cosmic string investigated in [96], relativistic spin-0 system in the presence of a Gödel-type background space-time investigated in [97], study of the Duffin-Kemmer-Petiau (DKP) equation for spin-zero bosons in the space-time generated by a cosmic string subject to a linear interaction of a DKP field with gravitational fields produced by topological defects investigated in [98], the information-theoretic measures of (1 + 1)dimensional Dirac equation in both position and momentum spaces are investigated for the trigonometric Rosen-Morse and the Morse potentials investigated in [99], analytical bound and scattering state solutions of Dirac equation for the modified deformed Hylleraas potential with a Yukawat...…”