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Book Cover
E-book
Author Kuramoto, Y. (Yoshio)

Title Dynamics of one-dimensional quantum systems : inverse-square interaction models / Yoshio Kuramoto, Yusuke Kato
Published Cambridge ; New York : Cambridge University Press, 2009

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Description 1 online resource (xii, 474 pages) : illustrations
Contents Introduction -- Single-component Sutherland model -- Multi-component Sutherland model -- Spin chain with 1/r² interactions -- SU(K) spin chain -- Supersymmetric t-J model with 1/r² interaction -- Jack polynomials -- Yang-Baxter relations and orthogonal eigenbasis -- SU(K) and supersymmetric Yangians -- Uglov's theory
Summary One-dimensional quantum systems show fascinating properties beyond the scope of the mean-field approximation. However, the complicated mathematics involved is a high barrier to non-specialists. Written for graduate students and researchers new to the field, this book is a self-contained account of how to derive the exotic quasi-particle picture from the exact solution of models with inverse-square interparticle interactions. The book provides readers with an intuitive understanding of exact dynamical properties in terms of exotic quasi-particles which are neither bosons nor fermions. Powerful concepts, such as the Yangian symmetry in the Sutherland model and its lattice versions, are explained. A self-contained account of non-symmetric and symmetric Jack polynomials is also given. Derivations of dynamics are made easier, and are more concise than in the original papers, so readers can learn the physics of one-dimensional quantum systems through the simplest model
Bibliography Includes bibliographical references and indexes
Notes Print version record
Subject Electronic structure -- Mathematical models
Matrix inversion.
Many-body problem.
SCIENCE -- Nanoscience.
Electronic structure -- Mathematical models
Many-body problem
Matrix inversion
Form Electronic book
Author Kato, Y. (Yūsuke), 1929-
ISBN 9780511596421
0511596421
0521815983
9780521815987
9780511596827
0511596820
9781107424722
1107424720