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Quantum Inverse Scattering Method and Correlation Functions
Abstract
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.
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Cited by
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
“properties of different bipartite partitions. Analytical and numerical methods often rely on the size and dimensionality of the system. Powerful techniques like bosonization [46,48,232], Bethe ansatz [233,234,45], Jordan–Wigner transformation [154,235], or the mentioned DMRG exist and allow to solve some paradigmatic o…”
MethodQuench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Exactly Solvable Models for Many-Body Systems Far from Equilibrium
(2001) · Phase Transitions and Critical Phenomena · doi:10.1016/s1062-7901(01)80015-x · Cited by 451
Kavokin, A. V., Baumberg, J. J., Malpuech, G., & Laussy, F. P. (2017) · doi:10.1093/oso/9780198782995.001.0001 · Cited by 326
Metadata
- Authors
- Korepin, V. E., Bogoliubov, N. M., & Izergin, A. G.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1993-08-19
- OpenAlex
- W3010075763
- Cited by
- 2,428
- References
- 0
- FWCI
- 9.42
- Type
- book
- Language
- en
- Open access
- closed
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- Korepin, V. E., Bogoliubov, N. M., & Izergin, A. G. (1993). Quantum Inverse Scattering Method and Correlation Functions. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511628832
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