Effects of a harmonic-type potential on a scalar field in a background of CPT-odd Lorentz symmetry violation

2021 ◽  
Vol 75 (11) ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Scalar Field ◽  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Type Potential

On the effects of the Lorentz symmetry violation in a magnetic medium at a low energy scenario

2018 ◽  
Vol 33 (36) ◽  
pp. 1850216
Author(s):  
K. Bakke ◽  
C. Salvador ◽  
H. Belich
Keyword(s):  
Magnetic Field ◽  
Scalar Field ◽  
Electric Field ◽  
Anharmonic Oscillator ◽  
Lorentz Symmetry ◽  
Low Energy ◽  
Symmetry Violation ◽  
Magnetic Medium ◽  
Energy Scenario ◽  
The Magnetic Field

It is analyzed the influence of a fixed background that breaks the Lorentz symmetry on the scalar field in the nonrelativistic regime. It is considered a medium with a nonuniform magnetization and the presence of an induced electric field. Then, due to the effects of the Lorentz symmetry violation, it is shown that the interaction of the scalar field with the magnetic field (produced by the nonuniform magnetization) and the induced electric field yields an effective potential analogous to the double anharmonic oscillator. Thereby, a discrete spectrum of energy can stem from the effects of the violation of the Lorentz symmetry on the scalar field.

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 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 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 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 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.

scholarly journals Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Ricardo L. L. Vitória
Keyword(s):  
Scalar Field ◽  
Screw Dislocation ◽  
Bound States ◽  
Charged Scalar ◽  
Wall Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Charged Scalar Field ◽  
Type Potential

Abstract We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.

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