The spin-zero Duffin-Kemmer-Petiau equation in a cosmic-string space-time with the Cornell interaction

Abstract

In this paper, we study the covariant Duffin-Kemmer-Petiau (DKP) equation in the cosmic-string space-time and consider the interaction of a DKP field with the gravitational field produced by topological defects in order to examine the influence of topology on this system. We solve the spin-zero DKP oscillator in the presence of the Cornell interaction with a rotating coordinate system in an exact analytical manner for nodeless and one-node states by proposing a proper ansatz solution.

Harmonic oscillator in an elastic medium with a spiral dislocation

“…In particular, torsion effects related to the presence of topological defects are in the interests of studies of semiconductors [17][18][19][20]. Moreover, spacetimes with space-like disclinations and with space-like dislocations [4] have also been investigated as backgrounds of relativistic quantum systems [21][22][23][24][25][26][27]. On the hand, studies of an edge dislocation through differential geometry and its influence on quantum systems have not been widely explored.…”

Effects of cosmic-string framework on the thermodynamical properties of anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches

“…These are constrained by the cosmic microwave background [6][7][8][9][10] and gravitational wave facilities [11][12][13][14][15]. In recent developments, cosmic strings have been considered to study solutions of black holes [16], to investigate the average rate of change of energy for a static atom immersed in a thermal bath a e-mail: hadisobhani8637@gmail.com of electromagnetic radiation [17], to study Hawking radiation of massless and massive charged particles [18], to study the non-Abelian Higgs model coupled with gravity [19], in the quantum dynamics of scalar bosons [20], in hydrodynamics [21], to study the non-relativistic motion of a quantum particle subjected to magnetic field [22], to investigate dynamical solutions in the context of super-critical tensions [23], describing scattering states of the Dirac equation in the presence of cosmic string for Coulomb interaction [24] and to study the spin-zero Duffin-Kemmer-Petiau equation in a cosmic-string space-time with the Cornell interaction [25].…”

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

“…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].…”