Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds

Autor:	Rafael Azuaje, Adrian Escobar
Rok vydání:	2023
Předmět:	FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Mathematical Physics
Zdroj:	Journal of Mathematical Physics. 64:033501
ISSN:	1089-7658 0022-2488
DOI:	10.1063/5.0135045
Popis:	In this paper we present canonical and canonoid transformations considered as global geometrical objects for Hamiltonian systems. Under the mathematical formalisms of symplectic, cosymplectic, contact and cocontact geometry, the canonoid transformations are defined for (co)symplectic, (co)contact Hamiltonian systems, respectively. The local characterizations of these transformations is derived explicitly and it is demonstrated that for a given canonoid transformation there exist constants of motion associated with it Comment: 18 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6ff05c907ab7de32db0e3b097cba0f6 https://doi.org/10.1063/5.0135045 Zobrazit plný text záznamu