Exact Solutions of D-dimensional Klein-Gordon Oscillator with Snyder-de Sitter Algebra
arXiv:2006.15601 · doi:10.1063/5.0015150
Abstract
We study the effects of Snyder-de Sitter commutation relations on relativistic bosons by solving analytically in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and the corresponding momentum space wave functions are obtained using Gegenbauer polynomials in one dimension space and Jacobi polynomials in D dimensions case. Finally, we study the thermodynamic properties of the system in the high temperature regime where we found that the corrections increase the free energy but decrease the energy, the entropy and the specific heat which is no longer constant. This work extends the part concerning the Klein-Gordon oscillator for the Snyder-de Sitter case studied in two-dimensional space in J. Math. Phys. 60, 013505 (2019).
16 pages, 5 figures
References in corpus (5)
- Circuit Implementation of a Four-Dimensional Topological Insulator
- Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
- New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
- Coulomb- quantum oscillator correspondence in two dimension, pure gauge field and half-quantized vortex
- Extended Dynamical Symmetries of Landau Levels in Higher Dimensions