scholarly journals Noninertial effects on the Dirac oscillator in a topological defect spacetime

2012 ◽  
Vol 127 (7) ◽  
Author(s):  
K. Bakke
Keyword(s):  
Topological Defect ◽  
Dirac Oscillator ◽  
Noninertial Effects

Noninertial effects on a composite system

2021 ◽  
Author(s):  
Abdullah Guvendi ◽  
Hassan Hassanabadi
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Composite System ◽  
Topological Defect ◽  
Rotating Frame ◽  
Dirac Oscillator ◽  
Relativistic Dynamics ◽  
Strength Of Interaction ◽  
Noninertial Effects ◽  
Exact Energy

In this paper, we investigate the relativistic dynamics of a fermion–antifermion pair holding through Dirac oscillator interaction in the rotating frame of [Formula: see text]-dimensional topological defect-generated geometric background. We obtain an exact energy spectrum for the system in question by solving the corresponding form of a fully covariant two-body Dirac equation. This energy spectrum depends on the angular velocity [Formula: see text] of uniformly rotating frame and angular deficit [Formula: see text] in the geometric background. Our results show that the effects of [Formula: see text] on each energy level of the system are not same and the [Formula: see text] impacts on the strength of interaction between the particles. Furthermore, we observe that it seems to be possible to actively tune the dynamics of such a fermion–antifermion system, in principle.

Dirac oscillator interacting with a topological defect

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
J. Carvalho ◽  
C. Furtado ◽  
F. Moraes
Keyword(s):  
Topological Defect ◽  
Dirac Oscillator

scholarly journals Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect

2019 ◽  
Vol 134 (1) ◽  
Author(s):  
M. Salazar-Ramírez ◽  
D. Ojeda-Guillén ◽  
A. Morales-González ◽  
V. H. García-Ortega
Keyword(s):  
Coherent States ◽  
Topological Defect ◽  
Algebraic Solution ◽  
Dirac Oscillator

Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time

2020 ◽  
Vol 35 (21) ◽  
pp. 2050179
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Chao-Yun Long
Keyword(s):  
Cosmic String ◽  
Topological Defect ◽  
Energy Levels ◽  
Bound State ◽  
Space Time ◽  
Dirac Oscillator ◽  
Ansatz Method ◽  
Cornell Potential ◽  
Scalar Potentials ◽  
Potential Parameters

In this paper, we use the functional Bethe ansatz method to solve the radial problem of the Dirac oscillator in cosmic string space-time, and its general solution under the Killingbeck potential plus isotonic oscillator potential in the limit of the spin and the pseudo-spin symmetries are further presented. Corresponding to the expressions of energies and wave function of bound state and first excited state are given. Furthermore, some particular cases including the Cornell potential, the Kratzer potential, the Killingbeck potential and the isotonic oscillator potentials are also addressed. It shows that the energy levels of the systems depend explicitly on the potential parameters [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the angular deficit parameter [Formula: see text] which characterize topological defect.

scholarly journals Topological defect networks for fractons of all types

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
David Aasen ◽  
Daniel Bulmash ◽  
Abhinav Prem ◽  
Kevin Slagle ◽  
Dominic J. Williamson
Keyword(s):  
Topological Defect

Quasi coherent state of the Dirac oscillator

2021 ◽  
Vol 68 (1) ◽  
pp. 56-62
Author(s):  
P. Ghosh ◽  
P. Roy
Keyword(s):  
Coherent State ◽  
Dirac Oscillator

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.

scholarly journals Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
H. Panahi ◽  
A. Savadi
Keyword(s):  
Exact Solution ◽  
Phase Space ◽  
Algebraic Approach ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues ◽  
Good Agreement

We study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.

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