scholarly journals Relativistic quantum motion of spin-0 particles under the influence of noninertial effects in the cosmic string spacetime

2018 ◽  
Vol 78 (1) ◽  
Author(s):  
L. C. N. Santos ◽  
C. C. Barros
Keyword(s):  
Cosmic String ◽  
Relativistic Quantum ◽  
Noninertial Effects ◽  
Quantum Motion

scholarly journals Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 203
Author(s):  
Márcio M. Cunha ◽  
Edilberto O. Silva
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Magnetic Fields ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Wave Functions ◽  
The Self ◽  
Extension Method ◽  
Adjoint Extension ◽  
Quantum Motion

In this work, we study the relativistic quantum motion of an electron in the presence of external magnetic fields in the spinning cosmic string spacetime. The approach takes into account the terms that explicitly depend on the particle spin in the Dirac equation. The inclusion of the spin element in the solution of the problem reveals that the energy spectrum is modified. We determine the energies and wave functions using the self-adjoint extension method. The technique used is based on boundary conditions allowed by the system. We investigate the profiles of the energies found. We also investigate some particular cases for the energies and compare them with the results in the literature.

Relativistic quantum motion of the scalar bosons in the background space–time around a chiral cosmic string

2019 ◽  
Vol 34 (10) ◽  
pp. 1950056 ◽  
Author(s):  
M. A. Hun ◽  
N. Candemir
Keyword(s):  
Current Density ◽  
Cosmic String ◽  
Relativistic Quantum ◽  
Energy Levels ◽  
Space Time ◽  
Curved Space ◽  
Dkp Equation ◽  
Background Space ◽  
Uvarov Method ◽  
Quantum Motion

In this paper, a relativistic behavior of spin-zero bosons is studied in a chiral cosmic string space–time. The Duffin–Kemmer–Petiau (DKP) equation and DKP oscillator are written in this curved space–time and are solved by using an appropriate ansatz and the Nikiforov–Uvarov method, respectively. The influences of the topology of this space–time on the DKP spinor and energy levels and current density are also discussed in detail.

ON A RESULT CONCERNING THE BEHAVIOR OF A RELATIVISTIC QUANTUM SYSTEM IN THE COSMIC STRING SPACETIME

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1549-1556 ◽  
Author(s):  
V. B. BEZERRA ◽  
GEUSA DE A. MARQUES
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Quantum System ◽  
Relativistic Electron ◽  
Coulomb Potential ◽  
Cosmic String ◽  
Relativistic Quantum

We consider the problem of a relativistic electron in the presence of a Coulomb potential and a magnetic field in the background spacetime corresponding to a cosmic string. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle.

Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

2019 ◽  
Vol 16 (04) ◽  
pp. 1950054 ◽  
Author(s):  
M. Hosseini ◽  
H. Hassanabadi ◽  
S. Hassanabadi ◽  
P. Sedaghatnia
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Gordon Equation ◽  
Space Time ◽  
Cornell Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

Relativistic quantum motion of spin-0 particles with a Cornell-type potential in (1 + 2)-dimensional Gürses spacetime backgrounds

2019 ◽  
Vol 34 (38) ◽  
pp. 1950314 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Quantum Dynamics ◽  
Gordon Equation ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Klein Gordon ◽  
Quantum Motion ◽  
Type Potential ◽  
Klein Gordon Equation

In this work, we investigate the relativistic quantum dynamics of spin-0 particles in the background of (1 + 2)-dimensional Gürses spacetime [M. Gürses, Class. Quantum Grav. 11, 2585 (1994)] with interactions. We solve the Klein–Gordon equation subject to Cornell-type scalar potential in the considered framework, and evaluate the energy eigenvalues and corresponding wave functions, in detail.

scholarly journals Exact Solutions of Scalar Bosons in the Presence of the Aharonov-Bohm and Coulomb Potentials in the Gravitational Field of Topological Defects

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Houcine Aounallah
Keyword(s):  
Gravitational Field ◽  
Relativistic Quantum ◽  
Topological Defects ◽  
Coupling Constants ◽  
Global Monopole ◽  
Charged Scalar ◽  
Scalar Particles ◽  
Quantum Motion ◽  
Aharonov Bohm ◽  
Coulomb Potentials

We analyze the relativistic quantum motion of a charged scalar particles in the presence of an Aharonov-Bohm and Coulomb potentials in the space-times produced by an idealized cosmic string and global monopole. We have calculated and discussed the eigensolutions of DKP equation and their dependence on both the geometry of the space-times and coupling constants parameters.

Relativistic scalar Aharonov–Bohm effect for a neutral particle under Lorentz symmetry breaking effects in the cosmic string space–time

2019 ◽  
Vol 34 (21) ◽  
pp. 1950116
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Cosmic String ◽  
Neutral Particle ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Maxwell Theory ◽  
Symmetry Violation ◽  
Quantum Phases ◽  
Bohm Effect ◽  
Aharonov Bohm

We search for relativistic quantum phases for a Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string space–time under the effects of the violation of the Lorentz symmetry. This general relativity background is built based on the modified Maxwell theory coupled to gravity. Hence, we analyze analogues of the scalar Aharonov–Bohm effect for neutral particles in two different scenarios of the Lorentz symmetry violation in the cosmic string space–time.

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