Dynamics of one-dimensional quantum systems
Subtitle: inverse-square interaction models
By: Yoshio Kuramoto, Yusuke Kato.
Contributors: Kato, Y. 1929-
Publisher: Cambridge University Press
Published: 2009
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 474
ISBN-13: 9780521815987
Subjects: Electronic structure -- Mathematical models; Matrix inversion; Many-body problem
Description: "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 aquasi-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 that 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."--Jacket.
Notes: Includes bibliographical references and indexes.