Hamilton-Jacobi theory in \(k\)-cosymplectic field theories
type: Item
instance of: scholarly article
zbMATH Open document ID: 1285.53083
DOI: 10.1142/S0219887814500078
author: Manuel de León
author: S. Vilarino
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2014-01-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1304.3360
Mathematics Subject Classification ID: 70S05
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 70H20
zbMATH DE Number: 6251669
zbMATH Keywords: Hamilton-Jacobi theory
zbMATH Keywords: \(k\)-cosymplectic field theories
MaRDI profile type: Publication
arXiv ID: 1304.3360
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OpenAlex ID: W2030064248
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title: Hamilton-Jacobi theory in \(k\)-cosymplectic field theories
review text: The authors extend to \(k\)-cosymplectic field theories the Hamilton-Jacobi formalism, which has been successful in classical mechanics. Their approach ``is based on a method developed by \textit{J. F. Cariñena} et al. [Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1417--1458 (2006; Zbl 1158.70007); ibid. 7, No. 3, 431--454 (2010; Zbl 1337.70038)] for classical mechanics''.NEWLINENEWLINEIn this framework, the dynamics associated with a Hamiltonian function is interpreted as a suitable family of vector fields.
reviewed by: Marco Modugno
description: scientific article; zbMATH DE number 6251669