Generalization of Nambu's mechanics
type: Item
instance of: scholarly article
title: Generalization of Nambu's mechanics
zbMATH Open document ID: 0338.70014
DOI: 10.1007/BF01884112
author: Isaac Cohen
published in: International Journal of Theoretical Physics
publication date: 1975-01-01T00:00:00Z
review text: The author introduces a generalized formalism for integrable mechanical systems. The novelty here is that the dimension of phase space may be odd. This generalizes classical Hamiltonian mechanics as well as Nambu mechanics [the author and \textit{A. J. Kálnay}, Int. J. Theor. Phys. 12, 61--67 (1975; Zbl 0338.70013)]. The author shows that the formalism is invariant under all locally invertible transformations (not necessarily symplectic). Also, it is shown that the formalism extends to classical field theory.
Mathematics Subject Classification ID: 70H99
Mathematics Subject Classification ID: 70G10
Mathematics Subject Classification ID: 70S05
zbMATH DE Number: 3529472
reviewed by: Robert L. Devaney
MaRDI profile type: Publication
cites work: Q5805482
cites work: Q5345667
cites work: Generalized Hamiltonian Dynamics
cites work: Q5329596
full work available at URL: https://doi.org/10.1007/bf01884112
OpenAlex ID: W2066029305
description: scientific article; zbMATH DE number 3529472