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Integrable Systems of Classical Mechanics and Lie Algebras BD I [Paperback]

By Askold M. Perelomov & A. g. Reyman (Translator)
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Item description for Integrable Systems of Classical Mechanics and Lie Algebras BD I by Askold M. Perelomov & A. g. Reyman...

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.

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Item Specifications...

Pages   320
Est. Packaging Dimensions:   Length: 1" Width: 6.5" Height: 9.5"
Weight:   1.36 lbs.
Binding  Softcover
Release Date   Dec 1, 1989
Publisher   Birkhäuser Basel
ISBN  3764323361  
ISBN13  9783764323363  

Availability  54 units.
Availability accurate as of Oct 22, 2016 03:07.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Subjects > Professional & Technical > Professional Science > Mathematics
2Books > Subjects > Professional & Technical > Professional Science > Physics > Mechanics
3Books > Subjects > Science > Mathematics > General
4Books > Subjects > Science > Physics > General
5Books > Subjects > Science > Physics > Mechanics

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