Central force problem in space with SU(2) Poisson structure

Autor:	Andalib, Taraneh, Fatollahi, Amir H.
Rok vydání:	2013
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics
Zdroj:	JHEP 07 (2013) 022
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP07(2013)022
Popis:	The central force problem is considered in a three dimensional space in which the Poisson bracket among the spatial coordinates is the one by the SU(2) Lie algebra. It is shown that among attractive power-law potentials it is only the Kepler one that all of its bound-states make closed orbits. The analytic solution of the path equation under the Kepler potential is presented. It is shown that except the Kepler potential, in contrast to ordinary space, all of the potentials for which all of the almost circular orbits are closed are non-power-law ones. For the non-power-law potentials examples of the numerical solutions of the path equations are presented. Comment: 18 pages, 6 figs
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.2115 Zobrazit plný text záznamu View this record from Arxiv