Three dimensional DKP oscillator in a curved Snyder space
B. Hamil, M. Merad, T. Birkandan
TL;DR
This paper investigates the three-dimensional DKP oscillator within the Snyder-de Sitter algebra, deriving energy spectra and eigenfunctions for spin zero and one particles in a curved Snyder space framework.
Contribution
It introduces a detailed analysis of the DKP oscillator in a curved Snyder space, extending previous models to include de Sitter background effects.
Findings
Energy spectrum derived for spin zero and one DKP oscillators.
Eigenfunctions obtained using vector spherical harmonics.
Extension of Snyder model to de Sitter background.
Abstract
The Snyder-de Sitter model is an extension of the Snyder model to a de Sitter background. It is called triply special relativity (TSR) because it is based on three fundamental parameters: speed of light, Planck mass, and the cosmological constant. In this paper, we study the three dimensional DKP oscillator for spin zero and one in the framework of Snyder-de Sitter algebra in momentum space. By using the technique of vector spherical harmonics the energy spectrum and the corresponding eigenfunctions are obtained for both cases.
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