Calogero—Moser— Sutherland Models

Table of Contents

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   Book Overview
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   Chapter 1 Classical Dynamical r -Matrices for Calogero—Moser Systems and Their Generalizations
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   Chapter 2 Hidden Algebraic Structure of the Calogero—Sutherland Model, Integral Formula for Jack Polynomial and Their Relativistic Analog
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   Chapter 3 Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms
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   Chapter 4 The Theory of Lacunas and Quantum Integrable Systems
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   Chapter 5 Canonical Forms for the C -Invariant Tensors
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   Chapter 6 R -Matrices, Generalized Inverses, and Calogero—Moser—Sutherland Models
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   Chapter 7 Tricks of the Trade: Relating and Deriving Solvable and Integrable Dynamical Systems
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   Chapter 8 Classical and Quantum Partition Functions of the Calogero—Moser—Sutherland Model
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    Chapter 9 The Meander Determinant and Its Generalizations
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    Chapter 10 Differential Equations for Multivariable Hermite and Laguerre Polynomials
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    Chapter 11 Quantum Currents Realization of the Elliptic Quantum Groups E τ,η (sl 2 )
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    Chapter 12 Heisenberg—Ising Spin Chain: Plancherel Decomposition and Chebyshev Polynomials
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    Chapter 13 Ruijsenaars’s Commuting Difference System from Belavin’s Elliptic R -Matrix
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    Chapter 14 Invariants and Eigenvectors for Quantum Heisenberg Chains with Elliptic Exchange
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    Chapter 15 The Bispectral Involution as a Linearizing Map
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    Chapter 16 On Some Quadratic Algebras: Jucys—Murphy and Dunkl Elements
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    Chapter 17 Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations
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    Chapter 18 Creation Operators for the Calogero—Sutherland Model and Its Relativistic Version
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    Chapter 19 New Exact Results for Quantum Impurity Problems
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    Chapter 20 Painlevé—Calogero Correspondence
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    Chapter 21 Yangian Symmetry in WZW Models
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    Chapter 22 The Quantized Knizhnik—Zamolodchikov Equation in Tensor Products of Irreducible sl 2 -Modules
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    Chapter 23 Gauge Fields and Interacting Particles
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    Chapter 24 Generalizations of Calogero Systems
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    Chapter 25 Three-Body Generalizations of the Sutherland Problem
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    Chapter 26 On Relativistic Lamé Functions
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    Chapter 27 Exact Solution for the Ground State of a One-Dimensional Quantum Lattice Gas with Coulomb—Like Interaction
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    Chapter 28 Differential Operators that Commute with the r −2 -type Hamiltonian
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    Chapter 29 The Distribution of the Largest Eigenvalue in the Gaussian Ensembles: β = 1, 2, 4
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    Chapter 30 Two-Body Elliptic Model in Proper Variables: Lie Algebraic Forms and Their Discretizations
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    Chapter 31 Yangian Gelfand—Zetlin Bases, gl N -Jack Polynomials, and Computation of Dynamical Correlation Functions in the Spin Calogero—Sutherland Model
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    Chapter 32 Thermodynamics of Moser—Calogero Potentials and Seiberg—Witten Exact Solution
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    Chapter 33 New Integrable Generalizations of the CMS Quantum Problem and Deformations of Root Systems
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    Chapter 34 The Calogero Model: Integrable Structure and Orthogonal Basis
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    Chapter 35 The Complex Calogero—Moser and KP Systems
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    Chapter 36 Oscillator 9 j -Symbols, Multdimensional Factorization Method, and Multivariable Krawtchouk Polynomials