| Description |
1 online resource (xii, 474 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references and indexes. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Electronic structure -- Mathematical models.
|
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Electronic structure -- Mathematical models. |
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Electronic structure. |
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Matrix inversion.
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Matrix inversion. |
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Many-body problem.
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Many-body problem. |
| Genre/Form |
Electronic books.
|
| Added Author |
Kato, Y. (Yūsuke), 1929-
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| Other Form: |
Print version: Kuramoto, Y. (Yoshio). Dynamics of one-dimensional quantum systems. Cambridge ; New York : Cambridge University Press, 2009 9780521815987 0521815983 (DLC) 2009023529 (OCoLC)297147086 |
| ISBN |
9780511596421 (electronic book) |
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0511596421 (electronic book) |
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0521815983 (hardback) |
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9780521815987 (hardback) |
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9780521815987 (hardback) |
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