The Duffin-Kemmer-Petiau oscillator in the presence of minimal uncertainty in momentum

In the anti-de Sitter background, the position and momentum operators obey the extended commutation relations leading to the emergence of a minimal uncertainty in momentum. Here, by using the position space representation we exactly determine the energy eigenvalues and the corresponding eigenfunctio...

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Bibliographic Details
Published in:Physica scripta 2020-07, Vol.95 (7), p.75309
Main Authors: Hamil, B, Merad, M, Birkandan, T
Format: Article
Language:English
Subjects:
(A)dS space
DKP oscillators
minimal uncertainty in momentum
Modified commutation relations
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Summary:In the anti-de Sitter background, the position and momentum operators obey the extended commutation relations leading to the emergence of a minimal uncertainty in momentum. Here, by using the position space representation we exactly determine the energy eigenvalues and the corresponding eigenfunctions for a (3+1) dimensional Duffin-Kemmer-Petiau oscillator of spin-zero and one in the framework of extended commutation relations.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab96de