Geodesic
Two-dimensional Dirac oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 495-504

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the dynamics of the Dirac oscillator in a magnetic field. The Heisenberg algebra is constructed in detail in the noncommutative phase space in the presence of minimal length. By means of the Nikiforov–Uvarov method, the energy eigenvalues are obtained exactly and the corresponding wave functions, in momentum space, are expressed in terms of hypergeometric functions.
Keywords: Dirac oscillator, deformed phase space, minimal length, Nikiforov–Uvarov method. 
@article{TMF_2022_213_3_a6,
     author = {F. A. Dossa and J. T. Koumagnon and J. V. Hounguevou and G. Y. H. Avossevou},
     title = {Two-dimensional {Dirac} oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {495--504},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a6/}
}
TY  - JOUR
AU  - F. A. Dossa
AU  - J. T. Koumagnon
AU  - J. V. Hounguevou
AU  - G. Y. H. Avossevou
TI  - Two-dimensional Dirac oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2022
SP  - 495
EP  - 504
VL  - 213
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a6/
LA  - ru
ID  - TMF_2022_213_3_a6
ER  - 
%0 Journal Article
%A F. A. Dossa
%A J. T. Koumagnon
%A J. V. Hounguevou
%A G. Y. H. Avossevou
%T Two-dimensional Dirac oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2022
%P 495-504
%V 213
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a6/
%G ru
%F TMF_2022_213_3_a6
F. A. Dossa; J. T. Koumagnon; J. V. Hounguevou; G. Y. H. Avossevou. Two-dimensional Dirac oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 495-504. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a6/