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

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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… Click to show full abstract

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.

Keywords: petiau oscillator; minimal uncertainty; duffin kemmer; uncertainty momentum; kemmer petiau; momentum

Journal Title: Physica Scripta
Year Published: 2020

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