弯曲Snyder空间中三维DKP振子
Three dimensional DKP oscillator in a curved Snyder space
摘要：
Snyder-de Sitter模型是Snyder模型在de Sitter背景下的扩展。它被称为三重狭义相对论（TSR），因为它是基于三个基本参数：光速，普朗克质量和宇宙学常数。本文在动量空间的Snyder-de Sitter代数框架下研究了自旋为0和1的三维DKP振子。利用矢量球谐函数技术，得到了这两种情况的能谱和相应的本征函数。
英文摘要：
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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