Mathphys odyssey 2001.数学物理学历程 2001：可积模型及其它
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作者： Masaki Kashiwara 著
出 版 社：
出版时间： 2002-5-1字数：版次： 1页数： 474印刷时间： 2002/05/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780817642600包装： 精装内容简介
Developments in mathematical physics during the second half of the 20th century influenced a number of mathematical areas, among the more significant being representation theory, differential equations, combinatorics, and algebraic geometry. In all of them, the dynamic role of integrable models has been central, largely due to two essential properties: the fact that integrable models possess infinite degrees of freedom and infinite dimensional symmetries. This volume focuses on the ongoing importance of integrability in covering the following topics: conformal field theory, massive quantum field theory, solvable lattice models, quantum affine algebras, the Painlevé equations and combinatorics.
目录
Preface
Wavevector-Dependent Susceptibility in Aperiodic Planar Ising Models
Correlation Functions and Susceptibility in the Z-Invariant Ising Model
A Rapidity-Independent Parameter in the Star-Triangle Relation
Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain
A Note on Quotients of the Onsager Algebra
Evaluation Parameters and Bethe Roots for the Six-Vertex Model at Roots of Unity
Normalization Factors, Reflection Amplitudes and Integrable Systems
Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis
Paths, Crystals and Fermionic Formulae
The Nonlinear Steepest Descent Approach to the Asymptotics of the Second Painleve Transcendent in the Complex Domain
Generalized Umemura Polynomials and the Hirota-Miwa Equation
Correlation Functions of Quantum Integrable Models: The XXZ Spin Chain
On Form Factors of the SU(2) Invariant Thirring Model
Integrable Boundaries and Universal TBA Functional Equations
Conformal Field Theories, Graphs and Quantum Algebras
q-Supernomial Coefficients: From Riggings to Ribbons
Separation of Variables for Quantum Integrable Models Related to U[subscript q](sl[subscript N])
On a Distribution Function Arising in Computational Biology