Geodesic
Non-commutative phase space landau problem in the presence of a minimal length
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 188-198

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The deformed Landau problem under a electromagnetic field is studied, where the Heisenberg algebra is constructed in detail in non-commutative phase space in the presence of a minimal length. We show that, in the presence of a minimal length, the momentum space is more practical to solve any problem of eigenvalues. From the Nikiforov-Uvarov method, the energy eigenvalues are obtained and the corresponding wave functions are expressed in terms of hypergeometric functions. The fortuitous degeneration observed in the spectrum shows that the formulation of the minimal length complements that of the non-commutative phase space.
Keywords: Landau problem, non-commutative phase space, minimal length, Nikiforov-Uvarov method, hypergeometric functions. 
@article{VKAM_2020_33_4_a15,
     author = {F. A. Dossa and J. T. Koumagnon and J. V. Hounguevou and G. Y. H. Avossevou},
     title = {Non-commutative phase space landau problem in the presence of a minimal length},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {188--198},
     publisher = {mathdoc},
     volume = {33},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a15/}
}
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F. A. Dossa; J. T. Koumagnon; J. V. Hounguevou; G. Y. H. Avossevou. Non-commutative phase space landau problem in the presence of a minimal length. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 33 (2020) no. 4, pp. 188-198. http://geodesic.mathdoc.fr/item/VKAM_2020_33_4_a15/