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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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樓主: 爆發(fā)
11#
發(fā)表于 2025-3-23 11:20:29 | 只看該作者
Book 2017 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 t
12#
發(fā)表于 2025-3-23 15:46:12 | 只看該作者
13#
發(fā)表于 2025-3-23 20:02:04 | 只看該作者
14#
發(fā)表于 2025-3-23 23:19:25 | 只看該作者
Tonuskrankheiten des Herzens und der Gef??e diagram and in Sect.?. we show how to calculate some basic correlation functions and we discuss their behavior in the different phases. Finally, in Sect.?. we comment on the relation between the Ising model and the Kitaev chain, which provides a natural interpretation of the . symmetry in terms of Majorana boundary modes.
15#
發(fā)表于 2025-3-24 05:40:46 | 只看該作者
The XY Chain, diagram and in Sect.?. we show how to calculate some basic correlation functions and we discuss their behavior in the different phases. Finally, in Sect.?. we comment on the relation between the Ising model and the Kitaev chain, which provides a natural interpretation of the . symmetry in terms of Majorana boundary modes.
16#
發(fā)表于 2025-3-24 08:09:15 | 只看該作者
Tonuskrankheiten des Herzens und der Gef??estem. Its rich and non-trivial phase-diagram and the possibility of calculating virtually every quantity have rendered it a reference model to understand new effects or to test hypotheses. After a brief introduction in Sects.?. and . we review its standard mapping to free fermions, paying particular
17#
發(fā)表于 2025-3-24 11:59:50 | 只看該作者
18#
發(fā)表于 2025-3-24 18:52:49 | 只看該作者
Tonuskrankheiten des Herzens und der Gef??e magnet and it has been instrumental in moving beyond the classical Ising-type models. We will solve this chain following the same steps we introduced in the previous chapter for the Lieb-Liniger model: in Sect.?. we introduce the chain’s fundamental excitation, the ., in Sect.?. we study the two-bo
19#
發(fā)表于 2025-3-24 22:47:51 | 只看該作者
20#
發(fā)表于 2025-3-25 00:46:52 | 只看該作者
https://doi.org/10.1007/978-3-658-37446-4f the transfer matrix to generate the wavefunctions by applying certain operators (which can be interpreted as quasi-particle creation operators) to a reference state (known as the .). The Bethe equations emerge as consistency conditions for these states to be eigenvectors of the transfer matrix. Th
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