Poincar\'e-Chetaev equations in the Dirac's formalism of constrained systems

Autor:	Deriglazov, Alexei A.
Rok vydání:	2023
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Particles 2023, 6, 913-922
Druh dokumentu:	Working Paper
DOI:	10.3390/particles6040059
Popis:	We single out a class of Lagrangians on a group manifold, for which one can introduce non-canonical coordinates in the phase space, which simplify the construction of the Poisson structure without explicitly calculating the Dirac bracket. In the case of $SO(3)$\,- manifold, the application of this formalism leads to the Poincar\'e-Chetaev equations. The general solution to these equations is written in terms of exponential of the Hamiltonian vector field. Comment: 6 pages, Typos fixed, references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.12423 Zobrazit plný text záznamu View this record from Arxiv