Quantum inverse scattering method and correlation functions (Record no. 35098)
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000 -LEADER | |
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fixed length control field | 02943 a2200265 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240919145938.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240801b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780521586467 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QC174.45 .K67 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Korepin, V. E. (Vladimir E.) |
245 ## - TITLE STATEMENT | |
Title | Quantum inverse scattering method and correlation functions |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Name of publisher, distributor, etc. | Cambridge University Press, |
Place of publication, distribution, etc. | Cambridge, U.K.: |
Date of publication, distribution, etc. | [c1997] |
300 ## - Physical Description | |
Pages: | 576 p. |
490 ## - SERIES STATEMENT | |
Series statement | Cambridge Monographs on Mathematical Physics |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Preface.<br/><br/>Part - I (The Coordinate Bethe Ansatz)<br/><br/>1. One-dimensional Bose-gas<br/>2. One-dimensional Heisenberg magnet<br/>3. Massive Thirring model<br/>4. Hubbard model<br/><br/>Part - II (The Quantum Inverse Scattering Method)<br/><br/>5. Classical r-matrix<br/>6. Fundamentals of inverse scattering method<br/>7. Algebraic Bethe ansatz<br/>8. Quantum field theory integral models on a lattice<br/><br/>Part - III (The Determinant Representation for Quantum Correlation functions)<br/><br/>9. Scalar products<br/>10. Norms of bethe wave functions<br/>11. Correlation functions of currents<br/>12. Correlation functions of fields<br/><br/>Part - 4 (Differential Equations for Quantum Correlation functions)<br/><br/>13. Correlation functions for impenetrable Bosons.<br/>The determinant representation<br/>14. Differential equations for correlation functions<br/>15. Matrix Riemann-Hilbert problem for correlation functions<br/>16. Asymptotics of Temperature-dependent correlation functions for the impenetrable Bose Gas<br/>17. Algebraic Bethe Ansatz and Asymptotics of correlation functions<br/>18. Asymptotics of correlation functions and the conformal approach.<br/><br/>Final Conclusion.<br/>References.<br/>Index. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Gordon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians. The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results. The book will be essential reading for all mathematical physicists working in field theory and statistical physics.--- Summary provided by the publisher |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Quantum field theory. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Inverse scattering transform. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Correlation (Statistics) |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Bogoli︠u︡bov, N. M. |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Izergin, A. G. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Inventory number | Full call number | Accession No. | Checked out | Koha item type |
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Physics | ICTS | Rack No 11 | 08/01/2024 | IN191 dt.31 July 2024 | QC174.45 .K67 | 02841 | 12/09/2024 | Book |