Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture-Reference-Cited by-同舟云学术

Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture

Published:2021-11-11 Issue:01 Volume:19 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Marmo Giuseppe¹²,Schiavone Luca³⁴,Zampini Alessandro²³

Affiliation:

1. Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, Via Cintia, 80126 Napoli, Italy

2. INFN, Sezione di Napoli, Via Cintia, 80126 Napoli, Italy

3. Dipartimento di Matematica ed Applicazioni “R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 Napoli, Italy

4. Departamento de Matemáticas, Univ. Carlos III de Madrid, Av.da de la Universidad 30 – 28911 Leganés, Madrid, Spain

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887821300063

Reference83 articles.

1. Variational principles onrth order jets of fibre bundles in field theory

2. Vector bundles, rth order Noether invariants and canonical symmetries in Lagrangian field theory

3. Geometric formulation of classical mechanics and field theory

4. Lecture Notes in Physics;Balachandran A. P.,1983

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The inverse problem within free Electrodynamics and the coisotropic embedding theorem;International Journal of Geometric Methods in Modern Physics;2024-02-14

2. Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities;Journal of Physics A: Mathematical and Theoretical;2022-10-07

3. Symmetries and Covariant Poisson Brackets on Presymplectic Manifolds;Symmetry;2022-01-04