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 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 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

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 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 Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Scalar Potential ◽  
Space Time ◽  
Relativistic Energy ◽  
Klein Theory ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Relativistic Analogue ◽  
Kaluza Klein

In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

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 Spin-0 scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in 5D cosmic string spacetime

2020 ◽  
pp. 2150004
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Klein Theory ◽  
Klein Gordon ◽  
Quantum Flux

In this paper, we study a relativistic quantum dynamics of spin-0 scalar particle interacts with scalar potential in the presence of a uniform magnetic field and quantum flux in background of Kaluza–Klein theory (KKT). We solve Klein–Gordon equation in the considered framework and analyze the relativistic analogue of the Aharonov–Bohm effect for bound states. We show that the energy levels depend on the global parameters characterizing the spacetime, scalar potential and the magnetic field which break their degeneracy.

scholarly journals Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Scalar Potential ◽  
Energy Eigenvalue ◽  
Scalar Particle ◽  
Space Time ◽  
Relativistic Energy ◽  
External Fields ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

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