The DKP oscillator with a linear interaction in the cosmic string space-time

Abstract

We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We obtain the solution of DKP oscillator in the cosmic string background. Also, we solve it with an ansatz in presence of linear interaction. We obtain the eigenfunctions and the energy levels of the relativistic field in that background.

Non-inertial effects on generalized KG-oscillator in the presence of Coulomb-type potential in topological defects geometry

“…Note that its values changes for each quantum number n and l, so we have labeled Ω → Ω n,l and a → a n,l since it relates with energy E n,l given by Eq. (15). We can note from Eq.…”

“…Since the frequency parameter Ω 1,l is related with a 1,l which is already related with E 1,l by Eq. (15). Therefore, the ground state energy level E 1,l can be obtained from the following expression…”

“…These wave-equations have investigated on the background curved geometries with or without interactions (e. g., [4,5,6,7,8,9]). In the context of cosmic string geometries, these wave-equations have studied by several authors (e. g., [10,11,12,13,14,15,16,17,18,19,20,21,22,23]). In addition, the influence of non-inertial effects in cosmic string space-time was studied in [24,25,26,27,28,29,30,31].…”

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...…”