Skip to main content
SpringerLink
Log in

Lectures on Integrable Systems

  • Book
  • © 1992

Overview

Authors:
  1. Jens Hoppe

    1. Institute for Theoretical Physics, Karlsruhe University, Karlsruhe, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 10)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. The Projection Method of Olshanetsky and Perelomov

    Pages 1-6

  3. Classical Integrability of the Calogero-Moser Systems

    Pages 7-13

  4. Solution of a Quantum Mechanical N-Body Problem

    Pages 15-20

  5. Algebraic Approach to x 2 + α/x 2 Interactions

    Pages 21-28

  6. Some Hamiltonian Mechanics

    Pages 29-33

  7. The Classical Non-Periodic Toda Lattice

    Pages 35-39

  8. r-Matrices and Yang Baxter Equations

    Pages 41-49

  9. Integrable Systems and gl(∞)

    Pages 51-55

  10. Infinite Dimensional Toda Systems

    Pages 57-61

  11. Integrable Field Theories from Poisson Algebras

    Pages 63-67

  12. Generalized Garnier Systems and Membranes

    Pages 69-72

  13. Differential Lax Operators

    Pages 73-79

  14. First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction

    Pages 81-86

  15. Zero Curvature Conditions on W ∞, Trigonometrical and Universal Enveloping Algebras

    Pages 87-93

  16. Spectral Transform and Solitons

    Pages 95-106

  17. Higher Dimensional Ï„-Functions

    Pages 107-111
Back to top

Keywords

About this book

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 are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theories, to spectral transform methods and to solitons. New methods are proposed, thus helping students not only to understand established techniques but also to interest them in modern research on dynamical systems.

Authors and Affiliations

  • Institute for Theoretical Physics, Karlsruhe University, Karlsruhe, Germany

    Jens Hoppe

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation