Minoru Takahashi

Thermodynamics of One-Dimensional Solvable Models

• Broschiertes Buch

Produktbeschreibung

Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases theoretical results and experimental results can be compared without ambiguity. This is a book about an important class of exactly solvable models in physics. The subject area is the Bethe-ansatz approach for a number of one-dimensional models, and the setting up of equations within this approach to determine the thermodynamics of these systems. It is a topic that crosses the boundaries among condensed matter physics, mathematics and field theory. The derivation and application of thermodynamic Bethe-ansatz equations for one-dimensional models are explained in detail. This technique is indispensable for physicists studying the low-temperature properties of one-dimensional substances. Written by the originator of much of the work in the subject, this book will be of great interest to theoretical condensed matter physicists.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 268
• Erscheinungstermin: 29. Juni 2005
• Englisch
• Abmessung: 244mm x 170mm x 15mm
• Gewicht: 468g
• ISBN-13: 9780521019798
• ISBN-10: 0521019796
• Artikelnr.: 21188811

Inhaltsangabe

Part I. Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems: 1. Free energy and correlation functions of XY models
2. Systems with delta-function potential
3. Isotropic Heisenberg model
4. XXZ model
5. XYZ and eight-vertex models
6. Hubbard model
Part II. Finite Temperature Integral Equations for Un-Nested Systems: 7. Repulsive delta-function bosons
8. Thermodynamics of the XXX chain
9. Thermodynamics of the XXZ model
10. Thermodynamics of the XYZ model
11. Low-temperature thermodynamics
Part III. Finite Temperature Integral Equations for Nested Systems: 12. S=1/2 fermions with repulsive potential in the continuum
13. S=1/2 fermions with an attractive potential
14. Thermodynamics of the Hubbard model
Part IV. Quantum Transfer Matrix and Recent Developments: 15. Transfer matrix and correlation length
16. The spin 1/2 XXZ model in a magnetic field
17. The XYZ model with no magnetic field
18. Recent developments and related topics.