CalogeroMoser Sutherland Models

1 Classical Dynamical r-Matrices for CalogeroMoser Systems and Their Generalizations. - 2 Hidden Algebraic Structure of the CalogeroSutherland Model Integral Formula for Jack Polynomial and Their Relativistic Analog. - 3 Polynomial Eigenfunctions of the CalogeroSutherland Moser Models with Exchange Terms. - 4 The Theory of Lacunas and Quantum Integrable Systems. - 5 Canonical Forms for the C-Invariant Tensors. - 6 R-Matrices Generalized Inverses and CalogeroMoser Sutherland Models. - 7 Tricks of the Trade: Relating and Deriving Solvable and Integratile Dynamical Systems. - 8 Classical and Quantum Partition Functions of the CalogeroMoserSutherland Model. - 9 The Meander Determinant and Its Generalizations. - 10 Differential Equations for Multivariable Hermite and Laguerre Polynomials. - 11 Quantum Currents Realization of the Elliptic Quantum Groups E??(sl2). - 12 HeisenbergIsing Spin Chain: Plancherel Decomposition and Chebyshev Polynomials. - 13 Ruijsenaars's Commuting Difference System from Belavin's Elliptic R-Matrix. - 14 Invariants and Eigenvectors for Quantum Heisenberg Chains with Elliptic Exchange. - 15 The Bispectral Involution as a Linearizing Map. - 16 On Some Quadratic Algebras: JucysMurphy and Dunkl Elements. - 17 Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations. - 18 Creation Operators for the CalogeroSutherland Model and Its Relativistic Version. - 19 New Exact Results for Quantum Impurity Problems. - 20 PainlevéCalogero Correspondence. - 21 Yangian Symmetry in WZW Models. - 22 The Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl2-Modules. - 23 Gauge Fields and Interacting Particles. - 24 Generalizations of Calogero Systems. - 25 Three-Body Generalizations of theSutherland Problem. - 26 On Relativistic Lamé Functions. - 27 Exact Solution for the Ground State of a One-Dimensional Quantum Lattice Gas with CoulombLike Interaction. - 28 Differential Operators that Commute with the r?2-type Hamiltonian. - 29 The Distribution of the Largest Eigenvalue in the Gaussian Ensembles: ? = 1 2 4. - 30 Two-Body Elliptic Model in Proper Variables: Lie Algebraic Forms and Their Discretizations. - 31 Yangian GelfandZetlin Bases glN-Jack Polynomials and Computation of Dynamical Correlation Functions in the Spin CalogeroSutherland Model. - 32 Thermodynamics of MoserCalogero Potentials and SeibergWitten Exact Solution. - 33 New Integrable Generalizations of the CMS Quantum Problem and Deformations of Root Systems. - 34 The Calogero Model: Integrable Structure and Orthogonal Basis. - 35 The Complex Calogero-Moser and KP Systems. - 36 Oscillator 9j-Symbols Multidimensional Factorization Method and Multi variable Krawtchouk Polynomials. Language: English