New Developments of Integrable Systems and Long-Ranged Interaction Models

This volume covers the recent developments of the exact solvable models, Yangian symmetry, the long-ranged interaction models and high-dimensional integrable systems. The authors are all experts in their fields. The volume provides a systematic introduction to statistical and mathematical physics and contains review papers and other contributions.

• The Yangian Deformation of the W-Algebras and the Calogero–Sutherland System (D Bernard et al.)
• A Note on Statistical Interactions and the Thermodynamic Bethe Ansatz (D Bernard & Y S Wu)
• Nonlocal Currents in Quantum Sine-Gordon System (S J Chang)
• Conserved Nonlocal-Charge and Yangian Algebras in the Quantum Self-Dual Yang–Mills System (L L Chau & I Yamanaka)
• Yangian, Truncated Yangian and Quantum Integrable Models (M L Ge et al.)
• Zonal Polynomials on the Quantum General Linear Group (N H Jing & H Yamada)
• Form Factors from Vertex Operators and Correlation Functions at q = 1 (A LeClair)
• Lectures on Integrable Quantum Spin Chains (L Mezincescu & R I Nepomechie)
• Quantum Integrable Systems with Long-Range Interactions (M Wadati & K Hikami)
• Fractional Exclusion Statistics and Generalized Ideal Gases (Y S Wu)