Dynamics of One-Dimensional Quantum Systems: Inverse-Square Interaction Models

ISBN-13: 9780521815987 / Angielski / Twarda / 2009 / 486 str.

Yosio Kuramoto; Yusuke Kato

Opis

A concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.

Spis treści

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.