Calogero-Moser-Sutherland Models: CRM Series in Mathematical Physics
Autor Jan Felipe Van Diejen, Luc Vinet Editat de Jan F. Van Diejenen Limba Engleză Hardback – 29 feb 2000
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Specificații
ISBN-13: 9780387989686
ISBN-10: 0387989684
Pagini: 561
Dimensiuni: 171 x 248 x 32 mm
Greutate: 1.13 kg
Editura: Springer
Seria CRM Series in Mathematical Physics
Locul publicării:New York, NY, United States
ISBN-10: 0387989684
Pagini: 561
Dimensiuni: 171 x 248 x 32 mm
Greutate: 1.13 kg
Editura: Springer
Seria CRM Series in Mathematical Physics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.
Descriere
The chapters in this book treat one of the few classes of problems involving more than one particle for which the equations of quantum mechanics are exactly solvable. These so-called Calogero-Moser- Sutherland models now play a role in research areas in theoretical physics (from soliton theory to statistical mechanics) and mathematics (from representation theory to complex geometry).