Klein-Gordon oscillator under a linear central potential induced by Lorentz symmetry violation

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Central Potential ◽  
Klein Gordon

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

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Effect ◽  
Scalar Particle ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Angular Frequency ◽  
Relativistic Wave Equation ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Klein Gordon ◽  
Type Potential

In this work, we study a Klein-Gordon oscillator subject to Cornelltype potential in the background of the Lorentz symmetry violation determined by a tensor out of the Standard Model Extension. We introduce a Cornell-type potential S(r) = (η_L\,r + \frac{η_c}{r} ) by modifying the mass term via transformation $M → M + S(r)$ and then coupled oscillator with scalar particle by replacing the momentum operator $\vec{p}→ (\vec{p}+ i\,M\,ω\,\vec{r})$ in the relativistic wave equation. We see that the analytical solution to the Klein-Gordon oscillator equation can be achieved, and a quantum effect characterized by the dependence of the angular frequency of the oscillator on the quantum numbers of the relativistic system is observed

scholarly journals A Central Potential with a Massive Scalar Field in a Lorentz Symmetry Violation Environment

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Scalar Field ◽  
Gordon Equation ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Massive Scalar ◽  
Symmetry Violation ◽  
Massive Scalar Field ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Klein Gordon Equation

We investigate the behaviour of a massive scalar field under the influence of a Coulomb-type and central linear central potentials inserted in the Klein-Gordon equation by modifying the mass term in the spacetime with Lorentz symmetry violation. We consider the presence of a background constant vector field which characterizes the breaking of the Lorentz symmetry and show that analytical solutions to the Klein-Gordon equation can be achieved.

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

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Electromagnetic Potential ◽  
Symmetry Violation ◽  
Linear Charge Density ◽  
Central Potential ◽  
Scalar Particles ◽  
Quantum Numbers

The relativistic quantum dynamics of a spin-0 scalar particle under the effects of the violation of Lorentz symmetry in the presence of a non-electromagnetic potential is analyzed. The central potential induced by the Lorentz symmetry violation is a linear electric and constant magnetic field and, analyze the effects on the eigenvalues and the wave function. We see there is a dependence of the linear charge density on the quantum numbers of the system

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

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Scalar Potential ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Relativistic Wave Equation ◽  
Electromagnetic Potential ◽  
Relativistic Wave ◽  
Symmetry Violation ◽  
Central Potential ◽  
Coulomb Type

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

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

scholarly journals A Massive Scalar Field under the Effects of the Lorentz Symmetry Violation by a CPT-Odd Nonminimal Coupling

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Scalar Field ◽  
Bound States ◽  
Lorentz Symmetry ◽  
Massive Scalar ◽  
Nonminimal Coupling ◽  
Symmetry Violation ◽  
Massive Scalar Field ◽  
Gauge Sector ◽  
The Standard Model ◽  
Klein Gordon

In this paper, based on the Standard Model Extended gauge sector, we made a nonminimal coupling in the Klein–Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate the effects of possible scenarios of Lorentz symmetry violation by electrical and magnetic field configurations on a massive scalar field in this background, where, analytically, we determine solutions of bound states.

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