Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator

Abstract

In this paper, we investigate the behaviour of a relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. We analyze the quantum system under a Coulomb-type radial electric field and a uniform magnetic induced by Lorentz symmetry breaking effects under a Cornell-type potential, and obtain the bound states solution by solving the Klein-Gordon oscillator. We see a quantum effect due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system, and the energy eigenvalues and the wave-function of the oscillator field get modified by the Lorentz symmetry breaking parameters as well as due to the presence of Cornell-type potential.

Effects of Cornell-type Potential on Klein-Gordon Oscillator Under a Linear Central Potential Induced by Lorentz Symmetry Violation

“…The relativistic quantum dynamics of spin-0 particle under the effects of the Lorentz symmetry violation [20,21,22,23,24,25,26,27,28,29,30]…”

“…Further, if one includes oscillator with Klein-Gordon field, following change in the momentum operator is considered [10,13,4,5,6,7,8,9,11,12,27,41]:…”

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

“…in quantum systems [15,16,17,18,19,20,21]. Under the effects of Lorentz symmetry violation, the relativistic scalar particle with non-electromagnetic or electromagnetic potential have been studied in [22,23,25,24,26,27,28,29,30,31,32].…”

“…The quantum dynamics of spin-0 scalar particle under the effects of Lorentz symmetry violation subject to a Coulomb-type non-electromagnetic potential introduced via mass transformation M → M + ηc r into the wave equation is given by [22,23,25,24,26,27,28,29,30,31,32]…”

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

“…The Coulomblike part is responsible for the interactions at short ranges whereas, and linear potential term lead to the confinement quarks phenomena. This type of potential has been used to study the relativistic quantum system [61,62,63,64,65,66,67,68,69,70,71], bound states of hadrons [72,73], and the ground state of three quarks [74] in particle physics. The Cornell-type potential in cylindrical system is given by…”