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OverviewThe exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras.This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour.Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference.Contents: Mathematical PreliminariesHistorical Origin of the Yang-Baxter EquationClassical Yang-Baxter EquationQuantum Enveloping AlgebrasQuantum Clebsch-Gordan CoefficientsSimple Yang-Baxter EquationTrigonometric and Rational SolutionsNon-Generic q ValuesReadership: Physicists and mathematicians. Full Product DetailsAuthor: Zhong-Qi MaPublisher: World Scientific Publishing Company Imprint: World Scientific Publishing Company ISBN: 9781299673670ISBN 10: 1299673678 Pages: 331 Publication Date: 01 January 1993 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |