VARIATIONAL PRINCIPLES OF DYNAMICS, THE: 13 (Advanced Series In Mathematical Physics) - Tapa blanda

BORIS A KUPERSHMIDT

 
9789810236854: VARIATIONAL PRINCIPLES OF DYNAMICS, THE: 13 (Advanced Series In Mathematical Physics)
Tapa blanda
ISBN 10: 9810236859 ISBN 13: 9789810236854
Editorial: World Scientific, 1992

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific
Año de publicación
1992
Idioma
Inglés
ISBN 10 
9810236859
ISBN 13 
9789810236854
Encuadernación
Tapa blanda
Número de páginas
442
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9789810202743: VARIATIONAL PRINCIPLES OF DYNAMICS, THE: 13 (Advanced Series In Mathematical Physics)

Edición Destacada

ISBN 10:  9810202741 ISBN 13:  9789810202743
Editorial: World Scientific, 1992
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