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 cosmological constant. In this paper, we study the three-dimensional DKP oscillator for spin-0 and spin-1 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 the both cases.

中文翻译：

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弯曲斯奈德空间中的三维 DKP 振荡器

Snyder-de Sitter 模型是 Snyder 模型对 de Sitter 背景的扩展。它被称为三重狭义相对论 (TSR)，因为它基于三个基本参数：光速、普朗克质量和宇宙学常数。在本文中，我们在动量空间中的 Snyder-de Sitter 代数框架中研究了 spin-0 和 spin-1 的三维 DKP 振荡器。通过使用矢量球谐函数技术，得到了这两种情况的能谱和相应的特征函数。