Variational Principles Of Dynamics, The - Boris A Kuperschmidt

Variational Principles Of Dynamics, The

Buch | Hardcover
444 Seiten
1992
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0274-3 (ISBN)
54,85 inkl. MwSt
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.
Erscheint lt. Verlag 1.12.1992
Reihe/Serie Advanced Series In Mathematical Physics ; 13
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
ISBN-10 981-02-0274-1 / 9810202741
ISBN-13 978-981-02-0274-3 / 9789810202743
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Anwendungen und Theorie von Funktionen, Distributionen und Tensoren

von Michael Karbach

Buch | Softcover (2023)
De Gruyter Oldenbourg (Verlag)
69,95