INTEGRABLE SYSTEMS

The Table of Contents for the full book PDF is as follows:

• INSCRIPTIONS

• PREFACE

• SPEECHES

  • On the Relation between Mathematics and Physics

  • Journey through Statistical Mechanics

• LECTURES

  • Lectures on Quantum Inverse Scattering Method

    • Lecture I

    • Lecture II

    • Lecture III

    • Lecture IV

  • Geometrical Integrability and Equation of Motion in Physics: A Unifying View

• CONTRIBUTIONS

  • Generalization of Sturm-Liouville Theory

  • Generalized Levinson's Theorem

  • On the Darboux Form of Bäcklund Transformations

  • A Trace Identity and Its Applications in Hamiltonian Theory of Integrable Systems

  • On the Hierarchies of Integrable Systems in 2+1 Dimensions

  • The Relationships between Inverse Scattering Techniques and Conformal Symmetry Transformations in Certain Nonlinear Systems

  • Hamiltonian Structures of the Two Dimensional Classical Integrable System, Loop Algebras and Basic Poisson Brackets

  • Nonlinear Realization of Hidden Symmetry U(1) and the Kac-Moody Algebra of Chiral Field in Curved Space

  • The Bosonization of (1+1) Dimensional Fermion Fields by Path Integration Method

  • Bethe Ansatz Equations for Multicomponent Nonlinear Schrödinger Model

• LIST OF PARTICIPANTS