Calogero-Moser-Sutherland models /
In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2000]
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| Series: | CRM series in mathematical physics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Classical Dynamics r-Matrices for Calogero-Moser Systems and Their Generalizations
- Hidden Algebraic Structure of Calogero-Sutherland Model
- Polynomial Eigenfunctions of the Calogero-Sutherland-Moser Models
- The Theory of Lacunas and Quantum Integrable Systems
- Canonical Forms for the C-Invariant Tensors
- R-Matrices, Generalized Inverses and Calogero-Moser-Sutherland Models
- Tricks of the Trade:.
- Classical and Quantum Partition Functions of the Calogero-Moser-Sutherland Model
- The Meander Determinant and its Generalizations
- Differential Equations for Multivariable Hermite and Laguerre Polynomials
- Quantum Currents Realizaton of the Elliptic Quantum Groups
- Heisenberg-Ising Spin Chain:.
- Ruijsenaars' Commuting Difference System from Belavin's Elliptic R-Matrix
- Invariants and Eigenvectors for quantum Heisenberg Chains with Elliptic Exchanges
- The Bispectral Involution as a Linearizing Map
- On Some Quadratic Algebras:.
- Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations
- Creation.