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arXiv · 2006.15593

Exact Solutions of the DKP Oscillator in 3D Spaces with Extended Uncertainty Principle

Mokhtar Falek·Mustafa Moumni·Mahmoud Merad
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Abstract

We present the exact solution of the three-dimensional Duffin--Kemmer--Petiau oscillator for both spin 0 and spin 1 cases, with the presence of minimal uncertainty in momentum in anti--de Sitter model. We use the representation of vector spherical harmonics and the Nikiforov--Uvarov method to determine exactly the energy eigenvalues and the eigenfunctions in all cases. Our study of the energy spectrum allows us to define a new interpretation of natural and unnatural parity states of the vector particle and we show the crucial role played by the spin--orbit coupling in this differentiation between the parities.

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Mokhtar Falek, Mustafa Moumni, Mahmoud Merad. 2021-02-23. Exact Solutions of the DKP Oscillator in 3D Spaces with Extended Uncertainty Principle. https://arxiv.org/abs/2006.15593

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