Noninertial effects on the Dirac oscillator in a topological defect spacetime
@article{Bakke2012NoninertialEO, title={Noninertial effects on the Dirac oscillator in a topological defect spacetime}, author={Knut Bakke}, journal={The European Physical Journal Plus}, year={2012}, volume={127}, pages={1-8} }
In this paper, we study the influence of noninertial effects on the Dirac oscillator in the cosmic string spacetime background. We discuss the behaviour of the oscillator frequency in a noninertial system that allows us to obtain relativistic bound state solutions. We also discuss the influence of the topology of the cosmic string spacetime on the relativistic energy levels, and obtain the Dirac spinors for positive-energy solutions. Furthermore, by taking the nonrelativistic limit of the…
62 Citations
Noninertial Effects on a Dirac Neutral Particle Inducing an Analogue of the Landau Quantization in the Cosmic String Spacetime
- Physics
- 2012
We discuss the behavior of external fields interacting with a Dirac neutral particle with a permanent electric dipole moment in order to achieve relativistic bound state solutions in a noninertial…
The thermal properties of the one-dimensional boson particles in Rindler spacetime
- Physics, Mathematics
- 2021
On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
- PhysicsThe European Physical Journal C
- 2019
The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation…
Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov–Casher system in the cosmic string background
- PhysicsModern Physics Letters A
- 2021
In this paper, we introduce an SU(1, 1) algebraic approach to study the (2 + 1)-Dirac oscillator in the presence of the Aharonov–Casher effect coupled to an external electromagnetic field in the…
Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space–time
- PhysicsGeneral Relativity and Gravitation
- 2019
We examine the non-inertial effects of a rotating frame on a Dirac oscillator in a cosmic string space–time with non-commutative geometry in phase space. We observe that the approximate bound-state…
Rotating effects on the Dirac oscillator in the cosmic string spacetime
- Physics
- 2013
In this contribution, we study the Dirac oscillator under the influence of noninertial effects of a rotating frame in the cosmic string spacetime. We show that both noninertial effects and the…
Linear confinement of a scalar and spin-0 particle in a topologically trivial flat Gödel-type space-time
- PhysicsThe European Physical Journal C
- 2019
In the previous work (Ahmed, Eur Phys J C 78(7):598, 2018), we investigated the relativistic quantum effects on a scalar and spin-half particles in a topologically trivial flat Gödel-type space-time.…
References
SHOWING 1-10 OF 86 REFERENCES
Dirac oscillator interacting with a topological defect
- Physics
- 2011
In this work we study the interaction problem of a Dirac oscillator with gravitational fields produced by topological defects. The energy levels of the relativistic oscillator in the cosmic string…
Anandan quantum phase for a neutral particle with Fermi–Walker reference frame in the cosmic string background
- Physics
- 2010
We study geometric quantum phases in the relativistic and non-relativistic quantum dynamics of a neutral particle with a permanent magnetic dipole moment interacting with two distinct field…
Nonrelativistic limit in the 2 + 1 Dirac oscillator: A Ramsey-interferometry effect
- Physics
- 2008
We study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which…
The Dirac oscillator. A relativistic version of the Jaynes-Cummings model
- Physics
- 1999
The dynamics of wavepackets in a relativistic Dirac oscillator (DO) is compared with that of the Jaynes-Cummings model. The strong spin-orbit coupling of the DO produces the entanglement of the spin…
On the Effects of Curvature on the Confinement of a Neutral Particle to a Quantum Dot Induced by Non-inertial Effects
- Physics
- 2012
We discuss the influence of a linear topological defect on the bound states of a non-relativistic neutral particle with permanent magnetic dipole moment in two distinct cases: In the first case, we…
SUPERSYMMETRY AND THE DIRAC OSCILLATOR
- Physics, Mathematics
- 1991
We demonstrate the realization of supersymmetric quantum mechanics in the first-order Dirac oscillator equation by associating with it another Dirac equation, which may be considered as its…
Analog Landau-He-McKellar-Wilkens quantization due to noninertial effects of the Fermi-Walker reference frame
- Physics
- 2010
We will show that when a neutral particle with permanent electric dipole moment interacts with a specific field configuration when the local reference frames of the observers are Fermi-Walker…
Relativistic quantum mechanics of a Dirac oscillator
- Physics
- 1995
The Dirac oscillator is an exactly soluble model recently introduced in the context of many particle models in relativistic quantum mechanics. The model has been also considered as an interaction…
Dirac oscillator with nonzero minimal uncertainty in position
- Physics
- 2005
In the context of some deformed canonical commutation relations leading to isotropic nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved for the first time,…