On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-type field

2018 ◽  
Vol 399 ◽  
pp. 117-123 ◽  
Author(s):  
R.L.L. Vitória ◽  
K. Bakke ◽  
H. Belich
Keyword(s):  
Tensor Field ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Coulomb Type

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 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

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

scholarly journals Relativistic Scalar Feld Under the EffEcts of Lorentz Symmetry Violation Subject to Cornell-Type Potential

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Quantum Effect ◽  
Scalar Particle ◽  
Radial Electric Field ◽  
Mass Term ◽  
Lorentz Symmetry ◽  
Field Configuration ◽  
Standard Model Extension ◽  
Symmetry Violation ◽  
Type Potential

We investigate a scalar particle under Lorentz symmetry breaking effects determined by a tensor out of the Standard Model Extension (SME) in the presence of a Cornell-type potential by modifying the mass term M → M +S in the KG-equation. The field configuration is such that a Coulomb-type radial electric field and a constant magnetic field can be induced by Lorentz symmetry violation, and analyze the behaviour of a scalar particle. One can see that the bound states solution to the KG-equation under the consider effects can be achieved, and a quantum effect characterized by the dependence of charge density distribution parameter on the quantum numbers of the system is observed.

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 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.

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