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Models of quantum matter : a first course on integrability and the Bethe ansatz

Author: Hans-Peter Eckle
Publisher: Oxford, United Kingdom : Oxford University Press, 2019. ©2019
Series: Oxford graduate texts.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.
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Genre/Form: Electronic books
Constitution
Additional Physical Format: Print version:
Eckle, Hans-Peter.
Models of Quantum matter.
Oxford : Oxford University Press, 2019
(DLC) 2019930263
(OCoLC)1082334574
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hans-Peter Eckle
ISBN: 9780191878589 0191878588 9780191668043 0191668044
OCLC Number: 1090010093
Description: 1 online resource
Contents: Introduction --
Part 1: Methods and models in the theory of quantum matter --
Quantum many-particle systems and second quantization --
Angular momentum --
Equilibrium statistical mechanics --
Phase transitions, critical phenomena, and finite-size scaling --
Statistical mechanics and quantum field theory --
Conformal symmetry in statistical mechanics --
Models of strongly interacting quantum matter --
Part 2: Algebraic Bethe Ansatz --
Ice model --
General square lattice vertex models --
Six-vertex model --
Quantum Tavis-Cummings model --
Part 3: Coordinate Bethe Ansatz --
The anisotropic Heisenberg quantum spin chain --
Bethe Ansatz for the anisotropic Heisenberg quantum spin chain --
Bose gas in one dimension: Lieb-Liniger model --
Electronic systems: nested Bethe Ansatz --
Electronic systems --
Part 5: Thermodynamic Bethe Ansatz --
Thermodynamics of the repulsive Lieb-Liniger model --
Thermodynamics of the isotropic Heisenberg quantum spin chain --
Part 6: Bethe Ansatz for finite systems --
Mathematical tools --
Finite Heisenberg quantum spin chain --
References --
Index.
Series Title: Oxford graduate texts.
Responsibility: Hans-Peter Eckle.

Abstract:

The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical  Read more...

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