The damped harmonic oscillator at the classical limit of the Snyder-de Sitter space

Autor:	Lawson, Latévi Mohamed, Nonkané, Ibrahim, Sodoga, Komi
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Quantum Physics
Zdroj:	Journal of Mathematics Research 13, 2 (2021)
Druh dokumentu:	Working Paper
DOI:	10.5539/jmr.v13n2p1
Popis:	Valtancoli in his paper entitled [P. Valtancoli, Canonical transformations, and minimal length J. Math. Phys. 56, 122107 (2015)] has shown how the deformation of the canonical transformations can be made compatible with the deformed Poisson brackets. Based on this work and through an appropriate canonical transformation, we solve the problem of one dimensional (1D) damped harmonic oscillator at the classical limit of the Snyder-de Sitter (SdS) space. We show that the equations of the motion can be described by trigonometric functions with frequency and period depending on the deformed and the damped parameters. We eventually discuss the influences of these parameters on the motion of the system. Comment: 10
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.01223 Zobrazit plný text záznamu View this record from Arxiv