Asesh Roy Chowdhury, Aninlya Ghose Choudhury

Quantum Integrable Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 424
• Erscheinungstermin: 28. Januar 2004
• Englisch
• ISBN-13: 9780203498019
• Artikelnr.: 38173262

Autorenporträt

Roy Chowdhury, Asesh

Inhaltsangabe

NONLINEAR SYSTEMS AND CLASSICAL IST Introduction Definition of
Integrability Lax Pair Technique Inverse Scattering Transform Hamiltonian
Structure COORDINATE BETHE ANSATZ Introduction Nonlinear Systems and the
CBA Fermionic System Boundary Condition in Bethe Ansatz Heisenberg Spin
Chain Spin of the Bethe Ansatz State Other Integrable Models YANG-BAXTER
EQUATION Introduction General Description Factorized Scattering Baxter's
Star Triangle Relation Vertex Models Reflection Equation Algebra CONTINUOUS
INTEGRABLE SYSTEMS Introduction Quantum Continuous Integrable Systems
Conserved Quantities Nonultralocal systems and the YBE Operator Product
Expansion and YBE Finite Boundary Conditions Modified Classical Yang-Baxter
Equation ALGEBRAIC BETHE ANSATZ Introduction Discrete Self Trapping Model
Asymmetric XXZ Model in a Magnetic Field Analytical Bethe Ansatz Off-Shell
Bethe Ansatz Nested Bethe Ansatz Fusion Procedure Fusion Procedure for Open
chains Fusion Procedure for Transfer Matrices Application of Fusion
Procedure INTEGRABLE LONG-RANGE MODELS Introduction Long-Range Models from
the ABA Symmetry Transformation Calogero-Moser Models SEPARATION OF
VARIABLES Introduction Hamilton-Jacobi Equation Sklyanin's Method for SoV
Goryachev-Chaplygin Top Quantum Case and the Role of Lie Algebra
Bi-Hamiltonian Structure and SoV SoV for GCM Model SoV and Boundary
Conditions BACKLUND TRANSFORMATIONS Introduction Permutability Theorem
Backlund Transformations and Classical Inverse Scattering Backlund
Transformations from Riccati Equation Darboux Backlund Transformations The
Exponential Lattice Canonical Transformations Group Property of Backlund
Transformations Recent Developments in Backlund Transformation Theory
Sklyanin's Formalism for Canonical Backlund Transformations Extended Phase
Space Method Quantization of Backlund Transformations Method of Projection
Operators QUANTUM GLM EQUATION Introduction Quantum GLM Equation Quantum
Floquet Function Exact Quantization Quantum GLM Equation in a Continuous
System Bound States and an Alternative Approach APPENDICES Direct Product
Calculus Grassman Algebra Bethe Ansatz Equation AKNS Problem BIBLIOGRAPHY
INDEX