Variational Principles Of Dynamics, The

Boris A Kuperschmidt (Univ Of Tennessee, Space Inst, Usa)

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English

World Scientific Publishing Co Pte Ltd
01 December 1991

Applied mathematics; Physics; Analytical mechanics

Series: Advanced Series In Mathematical Physics

Summary
Details

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.

By: Boris A Kuperschmidt (Univ Of Tennessee Space Inst Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 13
Dimensions: Height: 220mm,
ISBN: 9789810202743
ISBN 10: 9810202741
Series: Advanced Series In Mathematical Physics
Pages: 444
Publication Date: 01 December 1991
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active