SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS-Reference-Cited by-同舟云学术

SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS

Published:2005-08 Issue:04 Volume:02 Page:657-674
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:

GAETA GIUSEPPE¹,MORANDO PAOLA²,TURGUT OSMAN TEOMAN³⁴

Affiliation:

1. Dipartimento di Matematica, Università di Milano, via Saldini 50, I–20133 Milano, Italy

2. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I–10129 Torino, Italy

3. Physics Department, Bogazici University, 34342 Bebek — Istanbul, Turkey

4. Feza Gursey Institute, 81220 Kandilli–Istanbul, Turkey

Abstract

In a recent paper, a variational principle for Liouville dynamics (vector fields preserving a volume form) was introduced. In the present paper, we discuss the relation between symmetries and conservation laws in Liouville dynamics. We recall a result by Crampin relating symmetries and conserved quantities in Liouville dynamics, and discuss how symmetry reduction is implemented in the frame of the variational principle for Liouville dynamics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887805000727

Reference13 articles.

1. Mathematical Methods of Classical Mechanics

2. Symmetries and invariants of volume preserving flows

3. A Variational Principle for Volume-Preserving Dynamics

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