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Geometric and Quantum Aspects of Integrable Systems

Proceedings of the Eighth Scheveningen Conference Scheveningen, The Netherlands, August 16–21, 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. G. F. Helminck
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Part of the book series: Lecture Notes in Physics (LNP, volume 424)

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Table of contents (9 papers)

  1. Front Matter

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  2. Isospectral flow and Liouville-Arnold integration in loop algebrast

    • J. Harnad
    Pages 1-42

  3. Geometry of the modified KdV equation

    • Emma Previato
    Pages 43-65

  4. Integrable hierarchies and quantum gravity

    • Robbert Dijkgraaf
    Pages 67-89

  5. A geometric construction of solutions of the Toda lattice hierarchy

    • G. F. Helminck
    Pages 91-101

  6. Introduction to random matrices

    • Craig A. Tracy, Harold Widom
    Pages 103-130

  7. The geometry of elastic waves propagating in an anisotropic elastic medium

    • Dirk-J. Smite, Maarten V. de Hoop
    Pages 131-166

  8. Mathematical addenda to hopper's model of plane stokes flow driven by capillarity on a free surface

    • J. de Graaf
    Pages 167-185

  9. Quantization of integrable mappings

    • F. W. Nijhoff, H. W. Capel
    Pages 187-211

  10. Some aspects of the q-deformed oscillator algebras as quantum groups

    • Suemi Rodriguez-Romo, Dieter W. Ebnere
    Pages 213-222

  11. Back Matter

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Keywords

About this book

This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.

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