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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete

Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete St. Petersburg, Russia, 15-19 September 2002

  • Conference proceedings
  • © 2006

Overview

Editors:
  1. Ludwig Faddeev

    1. Russian Academy of Sciences, St. Petersburg, Russia

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    You can also search for this editor in PubMed   Google Scholar

  2. Pierre Van Moerbeke

    1. Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  3. Franklin Lambert

    1. Vrije Universiteit Brussel, Belgium

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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 201)

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Table of contents (31 papers)

  1. Front Matter

    Pages I-XVII
    Download chapter PDF

  2. THE CKP HIERARCHY AND THE WDVV PREPOTENTIAL

    • Henrik Aratyn, Johan Van de Leur
    Pages 1-11

  3. QUANTUM INVARIANCE GROUPS OF PARTICLE ALGEBRAS

    • M. Arik
    Pages 13-16

  4. ALGEBRAIC HIROTA MAPS

    • Chris Athorne
    Pages 17-33

  5. BOUNDARY STATES IN SUSY SINE-GORDON MODEL

    • Z. Bajnok, L. Palla, G. Takács
    Pages 35-42

  6. GEOMETRY OF DISCRETE INTEGRABILITY. THE CONSISTENCY APPROACH

    • Alexander I. Bobenko
    Pages 43-53

  7. HOMOCLINIC ORBITS AND DRESSING METHOD

    • E.V. Doktorov, V.M. Rothos
    Pages 55-64

  8. RIEMANN-HILBERT PROBLEM AND ALGEBRAIC CURVES

    • V. Enolskii, T. Grava
    Pages 65-76

  9. ANALYTIC AND ALGEBRAIC ASPECTS OF TODA FIELD THEORIES AND THEIR REAL HAMILTONIAN FORMS

    • V.S. Gerdjikov
    Pages 77-83

  10. BILINEAR AVATARS OF THE DISCRETE PAINLEV II EQUATION

    • B. Grammaticos, A. Ramani, A.S. Carstea
    Pages 85-96

  11. ORTHOGONAL POLYNOMIALS SATISFYING Q-DIFFERENCE EQUATIONS

    • Luc Haine
    Pages 97-112

  12. DISCRETIZATION OF COUPLED SOLITON EQUATIONS

    • Ryogo Hirota
    Pages 113-122

  13. AN ADELIC W-ALGEBRA AND RANK ONE BISPECTRAL OPERATORS

    • E. Horozov
    Pages 123-136

  14. TOROIDAL LIE ALGEBRA AND BILINEAR IDENTITY OF THE SELF-DUAL YANG-MILLS HIERARCHY

    • Saburo Kakei
    Pages 137-146

  15. FROM SOLITON EQUATIONS TO THEIR ZERO CURVATURE FORMULATION

    • F. Lambert, J. Springael
    Pages 147-159

  16. COVARIANT FORMS OF LAX ONE-FIELD OPERATORS: FROM ABELIAN TO NONCOMMUTATIVE

    • Sergey Leble
    Pages 161-173

  17. ON THE DIRICHLET BOUNDARY PROBLEM AND HIROTA EQUATIONS

    • A. Marshakov, A. Zabrodin
    Pages 175-190

  18. FUNCTIONAL-DIFFERENCE DEFORMATIONS OF DARBOUX-P ÖSHL-TELLER POTENTIALS

    • Vladimir B. Matveev
    Pages 191-208

  19. MAXWELL EQUATIONS FOR QUANTUM SPACE-TIME

    • R.M. Mir-Kasimov
    Pages 209-217

  20. A SOLVABLE MODEL OF INTERACTING PHOTONS

    • Jan Naudts
    Pages 219-224
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Keywords

Editors and Affiliations

  • Russian Academy of Sciences, St. Petersburg, Russia

    Ludwig Faddeev

  • Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Pierre Van Moerbeke

  • Vrije Universiteit Brussel, Belgium

    Franklin Lambert

Bibliographic Information

  • Book Title: Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete

  • Book Subtitle: Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete St. Petersburg, Russia, 15-19 September 2002

  • Editors: Ludwig Faddeev, Pierre Van Moerbeke, Franklin Lambert

  • Series Title: NATO Science Series II: Mathematics, Physics and Chemistry

  • DOI: https://doi.org/10.1007/978-1-4020-3503-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Science+Business Media B.V. 2006

  • Hardcover ISBN: 978-1-4020-3501-2Published: 31 May 2006

  • Softcover ISBN: 978-1-4020-3502-9Published: 31 May 2006

  • eBook ISBN: 978-1-4020-3503-6Published: 16 May 2007

  • Series ISSN: 1568-2609

  • Edition Number: 1

  • Number of Pages: XVIII, 378

  • Topics: Mathematical Methods in Physics

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