The Variational Principles of Dynamics - Couverture souple

Kuperschmidt, Boris A

 
9789810236854: The Variational Principles of Dynamics
Couverture souple
ISBN 10 : 9810236859 ISBN 13 : 9789810236854
Editeur : World Scientific Publishing Co Pte Ltd, 1992

Synopsis

Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
1992
Langue
anglais
ISBN 10 
9810236859
ISBN 13 
9789810236854
Reliure
Broché
Nombre de pages
444
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789810202743: The Variational Principles of Dynamics

Edition présentée

ISBN 10 :  9810202741 ISBN 13 :  9789810202743
Editeur : World Scientific Publishing Co P..., 1992
Couverture rigide