Three-dimensional DKP oscillator in a curved Snyder space

B. Hamil; M. Merad; T. Birkandan

doi:10.1142/S0217751X21500585

Three-dimensional DKP oscillator in a curved Snyder space

B. Hamil
, M. Merad
, T. Birkandan^*

^*Corresponding author for this work

Department of Physics Engineering

Benbouali Hassiba University of Chlef
University of Oum El Bouaghi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 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.

Original language	English
Article number	2150058
Journal	International Journal of Modern Physics A
Volume	36
Issue number	8-9
DOIs	https://doi.org/10.1142/S0217751X21500585
Publication status	Published - 30 Mar 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

DKP oscillator
Noncommutative geometry
Snyder model
curved Snyder space

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10.1142/S0217751X21500585

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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 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.",

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AU - Merad, M.

AU - Birkandan, T.

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N2 - 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.

AB - 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.

KW - DKP oscillator

KW - Noncommutative geometry

KW - Snyder model

KW - curved Snyder space

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JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 8-9

M1 - 2150058

ER -

Three-dimensional DKP oscillator in a curved Snyder space

Abstract

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Keywords

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