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

• URL: http://arxiv.org/abs/2006.15593v2
• Date: Tue, 23 Feb 2021 15:45:54 GMT
• Title: Exact Solutions of the DKP Oscillator in 3D Spaces with Extended Uncertainty Principle
• Authors: Mokhtar Falek, Mustafa Moumni and Mahmoud Merad
• Abstract summary: We present the exact solution of the three-dimensional Duffin--Kemmer---Petiau oscillator for both spin 0 and spin 1 cases. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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