Three-dimensional DKP oscillator in a curved Snyder space

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Hamil B., Merad M., Birkandan T.

International Journal of Modern Physics A, vol.36, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 36
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217751x21500585
  • Journal Name: International Journal of Modern Physics A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Environment Index, INSPEC, zbMATH
  • Keywords: Noncommutative geometry, Snyder model, curved Snyder space, DKP oscillator
  • Istanbul Technical University Affiliated: Yes

Abstract

© 2021 World Scientific Publishing Company.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.