Calogero-Moser-Sutherland models /
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| Imprint: | New York : Springer-Verlag, c2000. |
|---|---|
| Description: | xxv, 561 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | CRM series in mathematical physics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4281112 |
Table of Contents:
- 1. Classical Dynamical r-Matrices for Calogero-Moser Systems and Their Generalizations / J. Avan
- 2. Hidden Algebraic Structure of the Calogero-Sutherland Model, Integral Formula for Jack Polynomial and Their Relativistic Analog / Hidetoshi Awata
- 3. Polynomial Eigenfunctions of the Calogero - Sutherland - Moser Models with Exchange Terms / T. H. Baker, C. F. Dunkl and P. J. Forrester
- 4. The Theory of Lacunas and Quantum Integrable Systems / Yuri Yu. Berest
- 5. Canonical Forms for the C-Invariant Tensors / Oleg I. Bogoyavlenskij
- 6. R-Matrices, Generalized Inverses, and Calogero - Moser - Sutherland Models / H. W. Braden
- 7. Tricks of the Trade: Relating and Deriving Solvable and Integrable Dynamical Systems / Francesco Calogero
- 8. Classical and Quantum Partition Functions of the Calogero - Moser - Sutherland Model / Ph. Choquard
- 9. The Meander Determinant and Its Generalizations / P. Di Francesco
- 10. Differential Equations for Multivariable Hermite and Laguerre Polynomials / J. F. van Diejen
- 11. Quantum Currents Realization of the Elliptic Quantum Groups E[subscript [tau],[eta]](sl [subscript 2]) / B. Enriquez
- 12. Heisenberg - Ising Spin Chain: Plancherel Decomposition and Chebyshev Polynomials / Eugene Gutkin
- 13. Ruijsenaars's Commuting Difference System from Belavin's Elliptic R-Matrix / Koji Hasegawa
- 14. Invariants and Eigenvectors for Quantum Heisenberg Chains with Elliptic Exchange / V. I. Inozemtsev
- 15. The Bispectral Involution as a Linearizing Map / Alex Kasman
- 16. On Some Quadratic Algebras: Jucys - Murphy and Dunkl Elements / Anatol N. Kirillov
- 17. Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations / I. Krichever
- 18. Creation Operators for the Calogero-Sutherland Model and Its Relativistic Version / Luc Lapointe and Luc Vinet
- 19. New Exact Results for Quantum Impurity Problems / F. Lesage, H. Saleur and P. Simonetti
- 20. Painleve - Calogero Correspondence / A. M. Levin and M. A. Olshanetsky
- 21. Yangian Symmetry in WZW Models / Z. Maassarani and P. Mathieu
- 22. The Quantized Knizhnik - Zamolodchikov Equation in Tensor Products of Irreducible sl[subscript 2]-Modules / E. Mukhin and A. Varchenko
- 23. Gauge Fields and Interacting Particles / N. Nekrasov
- 24. Generalizations of Calogero Systems / Alexios P. Polychronakos
- 25. Three-Body Generalizations of the Sutherland Problem / C. Quesne
- 26. On Relativistic Lame Functions / S. N. M. Ruijsenaars
- 27. Exact Solution for the Ground State of a One-Dimensional Quantum Lattice Gas with Coulomb-Like Interaction / Bill Sutherland
- 28. Differential Operators that Commute with the r[superscript - 2]-type Hamiltonian / Kenji Taniguchi
- 29. The Distribution of the Largest Eigenvalue in the Gaussian Ensembles: [beta] = 1, 2, 4 / Craig A. Tracy and Harold Widom
- 30. Two-Body Elliptic Model in Proper Variables: Lie Algebraic Forms and Their Discretizations / Alexander Turbiner
- 31. Yangian Gelfand - Zetlin Bases, gl[subscript N]-Jack Polynomials, and Computation of Dynamical Correlation Functions in the Spin Calogero - Sutherland Model / Denis Uglov
- 32. Thermodynamics of Moser - Calogero Potentials and Seiberg - Witten Exact Solution / K. L. Vaninsky
- 33. New Integrable Generalizations of the CMS Quantum Problem and Deformations of Root Systems / A. P. Veselov
- 34. The Calogero Model: Integrable Structure and Orthogonal Basis / Miki Wadati and Hideaki Ujino
- 35. The Complex Calogero - Moser and KP Systems / George Wilson
- 36. Oscillator 9j-Symbols, Multdimensional Factorization Method, and Multivariable Krawtchouk Polynomials / Alexei Zhedanov.
