Three dimensional DKP oscillator in a curved Snyder space
arXiv:2009.02150 · doi:10.1142/S0217751X21500585
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.
arXiv comment12 pages, 4 figures
References in corpus (19)
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Testable scenario for Relativity with minimum-length
- Generalized Uncertainty Principle, Extra-dimensions and Holography
- Quantum symmetry, the cosmological constant and Planck scale phenomenology
- Extended uncertainty principle and the geometry of (anti)-de Sitter space
- QCD at large and short distances (annotated version)
- Triply Special Relativity
- On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory
- Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
- The DKP oscillator with a linear interaction in the cosmic string space-time
- Snyder space revisited
- Doubly special relativity in de Sitter spacetime
- Classical dynamics on curved Snyder space
- Quantum field theory in generalised Snyder spaces
- Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
- Snyder-de Sitter model from two-time physics
- Path integrals in Snyder space