Integrable Systems of Classical Mechanics and Lie Algebras

Integrable Systems of Classical Mechanics and Lie Algebras

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Paperback, Springer Verlag, 1989, ISBN13 9783764323363, ISBN10 3764323361
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INTEGRABLE SYSTEMS OF CLASSICAL MECHANICS AND LIE ALGEBRAS

About this item

Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin information may not be accurate or consistent with manufacturer information. For updated, accurate country of origin data, it is recommended that you rely on product packaging or manufacturer information.

INTEGRABLE SYSTEMS OF CLASSICAL MECHANICS AND LIE ALGEBRAS

This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics.

The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results.

Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Lie-algebraic form.

Chapter 2 gives an account of numerous previously known integrable systems.

Chapter 3 deals with many-body systems of generalized Calogero-Moser type, related to root systems of simple Lie algebras.

Chapter 4 is devoted to the Toda lattice and its various modifications seen from the group-theoretic point of view.

Chapter 5 investigates some additional topics related to many-body systems.

The book will be valuable to students as well as researchers.

Specifications

Number of Pages: 320
Original Languages: Russian
Subject: LIE ALGEBRAS ,  HAMILTONIAN SYSTEMS
Author: Reyman, A. g. ,  Perelomov, Askold M.
Target Audience: Scholarly & Professional
Translator: Reyman, A.G.
Publisher: Birkhauser
ISBN-13: 9783764323363
Assembled Product Dimensions (L x W x H): 6.50 x 9.50 x 1.00 Inches
ISBN-10: 3764323361
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