Classical and Quantum Nonlinear Integrable Systems : Theory and Application

Kundu, A (EDT)

Institute of Physics Publishing（2003/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 292 p.
• 言語 ENG
• 商品コード 9780750309592
• DDC分類 530.1553

Full Description

Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories and applications and another on quantum aspects, Classical and Quantum Nonlinear Integrable Systems: Theory and Application reviews the advances made in nonlinear integrable systems, with emphasis on the underlying concepts rather than technical details. It forms an outstanding introductory textbook as well as a useful reference for specialists.

Contents

Preface (A Kundu) A Journey Through the KdV Equation (M Lakshmanan) The Painleve methods (R Conte and M Musette) Discrete Integrability (K M Tamizhmani, A Ramani, B Grammaticos and T Tamizhmani) The D-BAR Method: A Tool for Solving Two-Dimensional Integrable Evolution PDEs (A S Fokas) Introduction to Solvable Lattice Models in Statistical and Mathematical Physics (T Deguchi)II. QUANTUM SYSTEMS Unifying Approaches in Integrable Systems: Quantum and Statistical, Ultralocal and Nonultralocal (A Kundu) The Physical Basis of Integrable Spin Models (I Bose) Exact Solvability in Contemporary Physics (A Foerster, J Links and H-Q Zhou) The Thermodynamics of the spin-1/2 XXX Chain: Free Energy and Low-temperature Singularities of Correlation Lengths (A Klümper and C Scheeren) Reaction-Diffusion Processes and Their Connection with Integrable Quantum Spin Chains (M Henkel)