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Dynamics of one-dimensional quantum systems : inverse-square interaction models /
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 h...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Kuramoto, Y. |q (Yoshio) | |
| 245 | 1 | 0 | |a Dynamics of one-dimensional quantum systems : |b inverse-square interaction models / |c Yoshio Kuramoto, Yusuke Kato. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2009. | ||
| 300 | |a 1 online resource (xii, 474 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
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| 650 | 0 | |a Electronic structure |x Mathematical models. | |
| 650 | 0 | |a Matrix inversion. | |
| 650 | 0 | |a Many-body problem. | |
| 650 | 6 | |a Structure électronique |x Modèles mathématiques. | |
| 650 | 6 | |a Matrices |x Inversion. | |
| 650 | 6 | |a Problème des N corps. | |
| 650 | 7 | |a SCIENCE |x Nanoscience. |2 bisacsh | |
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| 650 | 7 | |a Matrix inversion. |2 fast |0 (OCoLC)fst01012424 | |
| 700 | 1 | |a Kato, Y. |q (Yūsuke), |d 1929- | |
| 776 | 0 | 8 | |i Print version: |a Kuramoto, Y. (Yoshio). |t Dynamics of one-dimensional quantum systems. |d Cambridge ; New York : Cambridge University Press, 2009 |z 9780521815987 |z 0521815983 |w (DLC) 2009023529 |w (OCoLC)297147086 |
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