https://doi.org/10.1140/epjp/i2017-11353-8
Regular Article
Propagator of Dirac oscillator in 2D with the presence of the minimal length uncertainty
1
Laboratoire LRPPS, Université de Kasdi Merbah-Ouargla, Route Ghardaıa, BP 511, 30000, Ouargla, Algeria
2
Laboratoire de Physique Théorique, Université de Jijel, Ouled Aissa, BP98, 18000, Jijel, Algeria
3
Laboratoire (L.S.D.C), Département des Sciences de la Matière, Faculté des Sciences Exactes et Sciences de la Vie, Université de Oum El Bouaghi, 04000, Oum El Bouaghi, Algeria
* e-mail: meradm@gmail.com
Received:
15
October
2016
Accepted:
15
January
2017
Published online:
22
February
2017
In order to emphasize the role of quantum correction in two dimensions with the presence of the minimal length uncertainty relation, let us consider the case of relativistic Dirac oscillator in 
-dimensional momentum space. At modified midpoint discretization interval 
we can obtain the exact relativistic propagators, also the energy eigenvalues and their corresponding normalized radial momentum space eignefunctions are deduced.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017
