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Titlebook: An Introduction to Integrable Techniques for One-Dimensional Quantum Systems; Fabio Franchini Book 2017 The Author(s) 2017 Lieb-Liniger mo

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发表于 2025-3-21 17:57:05 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Integrable Techniques for One-Dimensional Quantum Systems
影响因子2023Fabio Franchini
视频video
学科分类Lecture Notes in Physics
图书封面Titlebook: An Introduction to Integrable Techniques for One-Dimensional Quantum Systems;  Fabio Franchini Book 2017 The Author(s) 2017 Lieb-Liniger mo
影响因子This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics..The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model.  Finally, the low energy physics of these integrable models is mapped intothe corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later
Pindex Book 2017
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发表于 2025-3-21 20:44:53 | 显示全部楼层
Book 2017ow energy physics of these integrable models is mapped intothe corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later
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Algebraic Bethe Ansatz,olutions. From another angle, the ABA is grounded on the relation between two-dimensional classical integrable statistical physics models and 1-D quantum ones. One example of this connection is between the six-vertex model, whose solution is presented in Appendix B, and the XXZ chain. After outlinin
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Die Toolbox für die Teamentwicklungvolved and the nature of the low energy excitations changes with the anisotropy. After previewing the phase diagram of the chain in Sect. ., we recap the coordinate Bethe Ansatz solution in Sect. .. We then analyze the different phases in Sects. ., ., and ., by focusing on the physical properties and skipping some technical derivations.
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