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Lectures on integrable systems

Author: Jens Hoppe
Publisher: Berlin ; New York : Springer-Verlag, ©1992.
Series: Lecture notes in physics., New series m,, Monographs ;, m10.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hoppe, Jens, 1956-
Lectures on integrable systems.
Berlin ; New York : Springer-Verlag, ©1992
(DLC) 92018024
(OCoLC)26053883
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jens Hoppe
ISBN: 9783540472742 3540472746
OCLC Number: 269213155
Description: 1 online resource (111 pages) : illustrations.
Contents: The Projection Method of Olshanetsky and Perelomov.- Classical Integrability of the Calogero-Moser Systems.- Solution of a Quantum Mechanical N-Body Problem.- Algebraic Approach to x 2 + ?/x 2 Interactions.- Some Hamiltonian Mechanics.- The Classical Non-Periodic Toda Lattice.- r-Matrices and Yang Baxter Equations.- Integrable Systems and gl(?).- Infinite Dimensional Toda Systems.- Integrable Field Theories from Poisson Algebras.- Generalized Garnier Systems and Membranes.- Differential Lax Operators.- First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction.- Zero Curvature Conditions on W ?, Trigonometrical and Universal Enveloping Algebras.- Spectral Transform and Solitons.- Higher Dimensional ?-Functions.
Series Title: Lecture notes in physics., New series m,, Monographs ;, m10.
Responsibility: Jens Hoppe.

Abstract:

Mainly drawing on explicit examples, the author introduces the reader to techniques for studying finite and infinite dynamical systems. The reader will find explanations of the approach to integrable  Read more...

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