Linear Central Potential Effects Induced by Lorentz Symmetry Violation on Spin-0 Particle Under Coulomb-type scalar Potential

Abstract

In this work, quantum dynamics of a spin-0 particle under the effects of Lorentz symmetry violation in the presence of Coulombtype non-electromagnetic potential $(S(r) ∝ \frac{1}{r})$ is investigated. The non-electromagnetic (or scalar) potential is introduced by modifying the mass term via transformation $M → M + \frac{η_c}{r}$ in the relativistic wave equation. The linear central potential induced by the Lorentz symmetry violation is a linear radial electric and constant magnetic field and, analyze the effects on the spectrum of energy and the wave function

Effects of Linear Central Potential Induced by Lorentz Symmetry Violation framework and Cornell-type Non-electromagnetic Potential on Spin-0 Scalar Particles

“…We choose the scenario of the Lorentz symmetry violation determined by the non-null components (κ DE ) 11 = const = κ 1 , (κ HB ) 33 = const = κ 2 and (κ DB ) 13 = const = κ 3 with the following field configuration [57,58,59,63,75,76,77,78,79]:…”

Linear Confinement of a Scalar Particle Under Linear Central Potential Induced by the Effects of Violation of Lorentz Symmetry framework

“…We choose the scenario of the Lorentz symmetry violation determined by the non-null components (κ DE ) 11 = const = κ 1 , (κ HB ) 33 = const = κ 2 and (κ DB ) 13 = const = κ 3 with the following field configuration [12,13,14,26,27,15,16,28,29,30]:…”

“…The quantum dynamics of spin-0 scalar particle under the effects of Lorentz symmetry violation with a scalar potential S(r) introduced via transformation M → M + S in the wave equation is given by [1,2,12,13,14,15,16,17,18,19,22,23,25,26,27,28,29,30]…”