scholarly journals Effects of linear central potential induced by Lorentz symmetry breaking on a generalized Klein–Gordon-Oscillator

2021 ◽  
pp. 2150128
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Symmetry Breaking ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Bound State ◽  
Lorentz Symmetry ◽  
Angular Frequency ◽  
Quantum Oscillator ◽  
Quantum Numbers ◽  
Klein Gordon ◽  
Lorentz Symmetry Breaking

We investigate the generalized Klein–Gordon (KG)-oscillator under the Lorentz symmetry breaking effects, where a linear electric and constant magnetic field is considered, and analyze its effects on the relativistic quantum oscillator. Furthermore, the behavior of the quantum oscillator in the presence of a Cornell-type scalar potential is analyzed and the solution of the bound state is obtained. We see that the analytical solution to the generalized KG-oscillator can be achieved and the angular frequency of the oscillator depends on the quantum numbers of the system.

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

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Symmetry Breaking ◽  
Bound States ◽  
Quantum Effect ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Lorentz Symmetry ◽  
Quantum Oscillator ◽  
Symmetry Violation ◽  
Lorentz Symmetry Breaking ◽  
Type Potential

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.

scholarly journals Effects of Coulomb Central Potential Induced by Lorentz Symmetry Breaking on Relativistic Quantum Oscillator

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Effect ◽  
Relativistic Quantum ◽  
Radial Electric Field ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Angular Frequency ◽  
Quantum Oscillator ◽  
Symmetry Violation ◽  
Quantum Numbers ◽  
Klein Gordon

In this paper, we consider the effects of a radial electric field and a constant magnetic field induced by Lorentz symmetry violation on a generalized relativistic quantum oscillator by choosing a function f(r) = b1 r + b2/r in the equation subject to a Cornell-type potential S(r) = ηL r + ηc/ r introduce by modifying the mass term in the equation. We show that the analytical solutions to the Klein-Gordon oscillator can be achieved, and a quantum effect is observed due to the dependence of the angular frequency of the oscillator on the quantum numbers of the system

scholarly journals Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

2016 ◽  
Vol 31 (07) ◽  
pp. 1650026 ◽  
Author(s):  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Cosmic String ◽  
Gordon Equation ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Klein Gordon ◽  
Lorentz Symmetry Breaking ◽  
Klein Gordon Equation

The behavior of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string space–time is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor [Formula: see text]. Then, by introducing a scalar potential as a modification of the mass term of the Klein–Gordon equation, it is shown that the Klein–Gordon equation in the cosmic string space–time is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein–Gordon equation can be obtained.

scholarly journals Linear Confinement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Effects

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Symmetry Breaking ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Bound State ◽  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Energy Eigenvalues ◽  
Lorentz Symmetry Breaking

In this work, linear confinement of a relativistic scalar particle under the effects of Lorentz symmetry violation is investigated. We introduce a scalar potential by modifying the mass via transformation M → M + S(r) in the wave equation, and analyze the effects on the eigenvalues and the wave function. We see that the solution of the bound state to the wave equation can be achieved, and the energy eigenvalues and the wave function modified by the Lorentz symmetry breaking parameters as well as potential

Central potential effects induced by Lorentz symmetry violation on modified quantum oscillator field

2022 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Quantum Effect ◽  
Scalar Potential ◽  
Lorentz Symmetry ◽  
Quantum Oscillator ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Quantum Numbers ◽  
Model Extension ◽  
Klein Gordon

In this paper, effects of Lorentz symmetry violation determined by a tensor field [Formula: see text] out of the Standard Model Extension on a modified quantum oscillator field in the presence of Cornell-type scalar potential are analyzed. We first introduced a scalar potential [Formula: see text] by modifying the mass square term via transformation [Formula: see text] in the Klein–Gordon equation, and then replace the momentum operator [Formula: see text], where [Formula: see text] is an arbitrary function other than [Formula: see text] to study the modified Klein–Gordon oscillator. We solve the wave equation and obtain the analytical bound-states solutions and see the dependence of oscillator frequency [Formula: see text] on the quantum numbers [Formula: see text] as well as on Lorentz-violating parameters with the potential which shows a quantum effect.

scholarly journals Coulomb-Type Interaction under Lorentz Symmetry Breaking Effects

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Energy Levels ◽  
Scalar Potential ◽  
Radial Distance ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Relativistic Energy ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Lorentz Symmetry Breaking

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.

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

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Gordon Equation ◽  
Quantum Effect ◽  
Relativistic Quantum ◽  
Scalar Particle ◽  
Bound State ◽  
Lorentz Symmetry ◽  
Quantum Numbers ◽  
Klein Gordon ◽  
Quantum Motion ◽  
The Magnetic Field

The relativistic quantum motion of a scalar particle under the effects of violation of the Lorentz symmetry in the presence of a linear confining potential is investigated. We see that the solution of the bound state to the modified Klein-Gordon equation can be obtained and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers of the system is observed

scholarly journals Effects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Analytical Solution ◽  
Symmetry Breaking ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
External Potential ◽  
Energy Eigenvalues ◽  
Lorentz Symmetry Breaking

In this paper, a relativistic scalar particle under Lorentz symmetry breaking effects in the presence of a scalar potential is investigated. We introduce the scalar potential by modifying the mass via transformation M → M+S(r) in the wave equation and analyze the behaviour of a scalar particle. We see that the analytical solution to the KleinGordon equation can be achieved, and the energy eigenvalues and the wave function depends on the Lorentz symmetry breaking parameters as well as potential

A new theoretical study of the deformed unequal scalar and vector Hellmann plus modified Kratzer potentials within the deformed Klein–Gordon equation in RNCQM symmetries

2021 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Quantum Mechanics ◽  
Yukawa Potential ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Relativistic Quantum Mechanics ◽  
Energy Eigenvalues ◽  
Quantum Numbers ◽  
Noncommutative Quantum Mechanics ◽  
Hellmann Potential ◽  
Klein Gordon

In this paper, within the framework of relativistic quantum mechanics and using the improved approximation scheme to the centrifugal term for any [Formula: see text]states via Bopp’s shift method and standard perturbation theory, we have obtained the modified energy eigenvalues of a newly proposed modified unequal vector and scalar Hellmann plus modified Kratzer potentials (DUVSHMK-Ps) for some diatomic N2, I2, CO, NO, O2 and HCl molecules. This study includes corrections of the first-order in noncommutativity parameters [Formula: see text]. This potential is a superposition of the attractive Coulomb Yukawa potential plus the Kratzer potential and new central terms appear as a result of the effects of noncommutativity properties of space–space. The obtained energy eigenvalues appear as a function of noncommutativity parameters, the strength parameters [Formula: see text] and [Formula: see text] of the (scalar vector) Hellmann potential, the screening range parameter [Formula: see text], the dissociation energy of the vector, and scalar potential [Formula: see text], the equilibrium inter-nuclear distance [Formula: see text] in addition to the atomic quantum numbers [Formula: see text]. Furthermore, we obtained the corresponding modified energy of DUVSHMK-Ps in the symmetries of non-relativistic noncommutative quantum mechanics (NRNCQM). In both relativistic and non-relativistic problems, we show that the corrections on the spectrum energy are smaller than the main energy in the ordinary cases of RQM and NRQM.

scholarly journals Klein-Gordon Oscillator Under the Effects of Violation of the Lorentz Symmetry

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Effect ◽  
Relativistic Quantum ◽  
Radial Electric Field ◽  
Lorentz Symmetry ◽  
Quantum Oscillator ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Linear Charge Density ◽  
Model Extension ◽  
Klein Gordon

In this work, we investigate the behaviour of relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor $(K_F)_{\mu\nu\alpha\beta}$ out of the Standard Model Extension. We analyze this relativistic system under an inverse radial electric field and a constant magnetic field induced by Lorentz symmetry violation. We see that the presence of Lorentz symmetry breaking terms modified the energy spectrum of the system, and a quantum effect arise due to the dependence of the linear charge density on the quantum numbers of the system

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