ENGLISH

Models of Quantum matter : a first course on integrability and the Bethe Ansatz

By Hans-Peter , Eckle

Book information

Publisher
Oxford University Press
Year
2019
ISBN
9780199678839, 0199678839
Language
english
Format
PDF
Filesize
6 MB (6006529 bytes)
Series
Oxford graduate texts.
Edition
First edition.
Pages
715\732
Time added
2019-10-13 09:06:13
Bethe-ansatz technique;Matter -- Constitution;Quan

Description

1: Historical Remarks2: IntroductionPART I: General Preliminaries3: Many-particle systems4: Angular momentum5: Statistical mechanicsPart II: Special Preliminaries6: Models of magnetism7: Electronic models8: Nonlinear quantum optics9: Cold atoms and optical lattices10: Quantum entanglement11: Quantum impurities12: Quantum groups13: Models of non-equilibrium statistical mechanicsPART III: Algebraic Bethe ansatz14: Ice model15: General vertex models16: Six-vertex modelPART IV: Coordinate Bethe ansatz17: Introduction18: The anisotrpic spin chain19: Bethe ansatz for the XXZ spin chainPART V: Review of further Bethe ansatz models20: Bose gas21: Exactly solvable quantum optical modelsPART VI: Multicomponent systems: Nested Bethe ansatz24: Multicomponent systems25: Examples26: Fermi gas27: Hubbard model28: Magnetic impurity models29: Kondo ModelPART VII: Thermodynamics Bethe ansatz30: Introduction31: Main idea32: ThermodynamicsPART VIII: Critical phenomena, finite-size scaling and conformal invariance33: Introduction34: Critical phenomena35: Finite-size scaling36: Conformal invariancePART IX: Bethe ansatz for finite systems37: Introduction38: Euler-Maclaurin formula39: Wiener-Hopf technique40: Finite Heisenber quantum spin chainPART X: Suggested further reading41: General preliminaries42: Speical preliminaries43: Algebraic Bethe ansatz44: Cooredinate Bethe ansatz45: Thermodynamic Bethe ansatz46: Conformal invariance and finite-size scaling47: Bethe ansatz for finite systems48: General reading list

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