Symmetries and reduction Part II: Lagrangian and Hamilton-Jacobi picture Articles

authors

MARMO, GIUSEPPE
Schiavone, Luca
ZAMPINI, ALESSANDRO

published in

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS Journal

publication date

January 2022

issue

1

volume

19

Digital Object Identifier (DOI)

https://doi.org/10.1142/s0219887821300063

International Standard Serial Number (ISSN)

0219-8878

Electronic International Standard Serial Number (EISSN)

1793-6977

abstract

Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe a Noether theorem related to symmetries, with the associated reduction procedures, for classical dynamics within the Lagrangian and the Hamilton-Jacobi formalism.

subjects

Mathematics

keywords

gauge transformations; hamilton-jacobi equations; lagrangian equations; reduction; symmetries for implicit equations