Fabian H. L. Essler, Holger Frahm, Frank Gohmann

The One-Dimensional Hubbard Model

• Broschiertes Buch

Produktbeschreibung

An advanced level reference text on important topics in condensed matter physics, statistical and theoretical physics.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 692
• Erscheinungstermin: 30. Juni 2010
• Englisch
• Abmessung: 244mm x 170mm x 37mm
• Gewicht: 1173g
• ISBN-13: 9780521143943
• ISBN-10: 0521143942
• Artikelnr.: 31198162

Inhaltsangabe

Preface
1. Introduction
2. The Hubbard Hamiltonian and its symmetries
3. The Bethe ansatz solution
4. String hypothesis
5. Thermodynamics in the Yang-Yang approach
6. Ground state properties in the thermodynamic limit
7. Excited states at zero temperature
8. Finite size corrections at zero temperature
9. Asymptotics of correlation functions
10. Scaling and continuum limits at half-filling
11. Universal correlations at low density
12. The algebraic approach to the Hubbard model
13. The path integral approach to thermodynamics
14. The Yangian symmetry of the Hubbard model
15. S-matrix and Yangian symmetry in the infinite interval limit
16. Hubbard model in the attractive case
17. Mathematical appendices
References
Index.

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Preface; 1. Introduction; 2. The Hubbard Hamiltonian and its symmetries; 3. The Bethe ansatz solution; 4. String hypothesis; 5. Thermodynamics in the Yang-Yang approach; 6. Ground state properties in the thermodynamic limit; 7. Excited states at zero temperature; 8. Finite size corrections at zero temperature; 9. Asymptotics of correlation functions; 10. Scaling and continuum limits at half-filling; 11. Universal correlations at low density; 12. The algebraic approach to the Hubbard model; 13. The path integral approach to thermodynamics; 14. The Yangian symmetry of the Hubbard model; 15. S-matrix and Yangian symmetry in the infinite interval limit; 16. Hubbard model in the attractive case; 17. Mathematical appendices; References; Index.

Rezensionen

"The joint expertise of the authors on the subject is formidable. The influence of their intimate familiarity with the material is visible throughout the book. The bibliography is extensive and will be a useful tool for those interested in the original publications. Short of asking an expert, there is no better way to access the huge body of work accumulated over decades by a large number of authors. Every physics and chemistry library should have a copy of this book, and many individual researchers want to have a copy on their shelves, too."
Bruno Nachtergaele, University of California, Davis, SIAM Review