On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation

2020 ◽  
Vol 135 (2) ◽  
Author(s):  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Lorentz Symmetry ◽  
Dirac Oscillator ◽  
Symmetry Violation ◽  
Central Potential ◽  
Coulomb Type

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 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

scholarly journals Fermionic Casimir effect in Horava–Lifshitz theories

2019 ◽  
Vol 34 (20) ◽  
pp. 1950107
Author(s):  
Dêivid R. da Silva ◽  
M. B. Cruz ◽  
E. R. Bezerra de Mello
Keyword(s):  
Boundary Condition ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Casimir Energy ◽  
Quantum Field ◽  
Parallel Plates ◽  
Symmetry Violation ◽  
Massless Quantum

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava–Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

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