Coulomb-Type Interaction under Lorentz Symmetry Breaking Effects

Abstract

Based on models of confinement of quarks, we analyse a relativistic scalar particle subject to a scalar potential proportional to the inverse of the radial distance and under the effects of the violation of the Lorentz symmetry. We show that the effects of the Lorentz symmetry breaking can induce a harmonic-type potential. Then, we solve the Klein-Gordon equation analytically and discuss the influence of the background of the violation of the Lorentz symmetry on the relativistic energy levels.

Klein-Gordon Oscillator Under the Effects of the Cornell-Type Interaction in the Kaluza-Klein Theory

“…Energy relativistic effects appearing in these quantum systems with position-dependent mass have been investigated. Interesting properties emerge in systems with quarkantiquark interaction [28], with pionic atom [29], in the spacetime with curvature [30][31][32], in the spacetime with torsion [33][34][35][36], in the Som-Raychaudhuri spacetime [37][38][39], in possible scenarios of Lorentz symmetry violation [40][41][42], on the Klein-Gordon oscillator (KGO) [43][44][45][46], in solution of the Dirac equation in a conical spacetime [47] and in Kaluza-Klein theory (KKT) [48][49][50]. The procedure of inserting central potentials into relativistic wave equations is given by the transformation m → m + S( r) [29], where m is the rest mass and S( r) is the scalar potential.…”

Relativistic Spin-0 Particle Under Linear Central Potential Effects Induced by Lorentz Symmetry Violation

“…These two terms are called the CPT-odd sector [1,2] and the CPT-even sector [34,35]. The relativistic quantum dynamics of a scalar particle under the effects of the Lorentz symmetry violation [1,2,3,36,37,38,39,40,41,42,43,44,45]…”

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

“…Here, we investigate the above relativistic quantum system described by the Klein-Gordon oscillator subject to a Cornell-type scalar potential in the presence of external fields including an internal magnetic flux field. A scalar potential is included into the systems by modifying the mass m ⟶ m + SðrÞ which is called a position-dependent mass system in the relativistic quantum systems (see, e.g., [5,6,8,28,30,31,42,46,[52][53][54][55][56][57][58][59][60][61][62]).…”