Non-commutative phase space Landau problem in the presence of a minimal length

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AuteurDOSSA, ANSELME
AuteurAVOSSEVOU, GABRIEL YVES HUGUES
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2020
ResumeThe 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.
DOI10.26117/2079-6641-2020-33-4-188-198
Autre identifiantBECDB-10428
URIhttps://dspace.uac.bj/handle/123456789/9286
Languefr
Fait partie deTheoretical and mathematical Physics
SujetLandau problem
Sujetnon-commutative phase space
Sujetminimal length
SujetNikiforov
SujetUvarov method
Sujethypergeometric functions
TitreNon-commutative phase space Landau problem in the presence of a minimal length
TypeArticle

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