Dynamics of One-Dimensional Quantum Systems

Inverse-Square Interaction Models
Erscheinungsjahr 2009
ISBN: 978-0-521-81598-7
Verlag: Cambridge University Press

Buch, Englisch, 486 Seiten, Format (B × H): 181 mm x 251 mm, Gewicht: 1102 g

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.

Autoren/Hrsg.

Kuramoto, Yoshio

Kato, Yusuke

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Physik Thermodynamik Oberflächen- und Grenzflächenphysik, Dünne Schichten

Inhaltsverzeichnis

Preface
1. Introduction
Part I. Physical Properties: 2. Single-component Sutherland model
3. Multi-component Sutherland model
4. Spin chain with 1/r2 interactions
5. SU(K) spin chain
6. Supersymmetric t-J model with 1/r2 interaction
Part II. Mathematics Related to 1/r2 Systems: 7. Jack polynomials
8. Yang-Baxter relations and orthogonal eigenbasis
9. SU(K) and supersymmetric Yangians
10. Uglov's theory
Epilogue
References
List of symbols
Index.

Über Autor(innen)

Kato, Yusuke
Yusuke Kato is an Associate Professor in the Department of Basic Science at the University of Tokyo. His working fields are physics of condensed matter, correlated electron systems in one dimension, integrable systems in one dimension, superconductivity and Bose-Einstein condensation.

Kuramoto, Yoshio
Yoshio Kuramoto is a Professor of Physics at Tohoku University, Japan. He is an expert on strongly correlated electron systems, and has authored and co-authored several books and many papers in related research fields. He is a member of the Physical Society of Japan, and has served as one of the editors of the society's journal.