The thermal properties of a two-dimensional Dirac oscillator under an external magnetic field

Hassanabadi

2015

Can. J. Phys.

Self Cite

“…The last equation concerning the eigenvalue is in a good agreement with that obtained in the literature (see Ref [6] and references therein).…”

Section: The Solutions In Noncommutative Phase Spacesupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

The exact solutions of a (2 + 1)-dimensional Dirac oscillator under a magnetic field in the presence of a minimal length

Hassanabadi

2015

Can. J. Phys.

Self Cite

“…The electromagnetic potential associated with the DO has been found by Benitez et al [21]. The DO has attracted a lot of interests both because it provides one of the examples of the Dirac's equation exact solvability and because of its numerous physical applications [22][23][24][25][26][27]. Finally, Franco-Villafañe et al [28] have exposed the proposal of the first experimental microwave realization of the one-dimensional DO.…”

Section: Advances In High Energy Physicsmentioning

confidence: 99%

The Statistical Properties of theq-Deformed Dirac Oscillator in One and Two Dimensions

Advances in High Energy Physics

Hassanabadi

2017

Self Cite

We study the behavior of the eigenvalues of the one and two dimensions of -deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the -deformed creation and annihilation operators in both dimensions. For a twodimensional case, we have used the complex formalism which reduced the problem to a problem of one-dimensional case. The influence of the -numbers on the eigenvalues has been well analyzed. Also, the connection between the -oscillator and a quantum optics is well established. Finally, for very small deformation , we (i) showed the existence of well-known -deformed version of Zitterbewegung in relativistic quantum dynamics and (ii) calculated the partition function and all thermal quantities such as the free energy, total energy, entropy, and specific heat. The extension to the case of Graphene has been discussed only in the case of a pure phase ( = 푖휂 ).

“…More specifically, they suggested to substitute in the free Dirac equation the momentum operator p like p − imωβ r. They could obtain a system in which the positive energy states have a spectrum similar * nadjette.messai@gmail.com † boumali.abdelmalek@gmail.com to the one of the non-relativistic harmonic oscillator. Recently, this interaction has particularly got more interest [9]. It is reviewed, because of the interest in the many different domain in physics .…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of a two-dimensional Kemmer oscillator in the gravitational field of cosmic string

Messai

2015

Eur. Phys. J. Plus

Self Cite

The two dimensional Kemmer oscillator under the influence of the gravitational field produced by a topology such as the cosmic string spacetime and in the presence of a uniform magnetic field as well as without magnetic field are investigated. The eigensolutions of our problem have been found by using the generalized parametric Nikiforov-Uvarov (NU) method, and the influence of the cosmic string space-time on the energy spectrum has been analyzed. We show that the dependence of the energy levels of the quantum system with the angular deficit α, which characterizes the global structure of the metric in the cosmic string spacetime, breaks the degeneracy of these levels.