https://doi.org/10.1140/epjp/i2013-13124-y
Regular Article
The thermal properties of a two-dimensional Dirac oscillator under an external magnetic field
1
Laboratoire de Physique Appliqué et Théorique, Université de Tébessa, 12000, W. Tébessa, Algeria
2
Department of Physics, Shahrood University, P.O. Box 3619995161-316, Shahrood, Iran
* e-mail: boumali.abdelmalek@gmail.com
Received:
24
July
2013
Revised:
6
October
2013
Accepted:
10
October
2013
Published online:
25
October
2013
In the language of creation and annihilation operators, we study a relativistic spin-
fermion subject to a Dirac oscillator (DO) coupling and a constant magnetic field in both commutative and non-commutative (NC) spaces. All dynamical physical variables, in a two-dimensional complex formalism, are expressed in terms of the creation and annihilation operators via a
z
, 
and a
z
, in the commutative space, and d
z
, 
and d
z
, in the NC space. The eigensolutions of our problem have been determinated, and the exact connection with both Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) models has been established. In addition, we revealed the existence of the quantum phase transition in both commutative and NC spaces. The thermal properties of the Dirac oscillator under a magnetic field, calculated from the partition function, have been investigated, and the effect of the non-commutative parameters on these properties has been tested.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
