| Document Type
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BL
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| Record Number
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985606
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| Doc. No
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b739976
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| Main Entry
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Takahashi, Minoru,1944-
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| Title & Author
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Thermodynamics of one-dimensional solvable models /\ Minoru Takahashi.
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| Publication Statement
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Cambridge, U.K. ;New York, NY :: Cambridge University Press,, 1999.
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| Page. NO
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xiii, 252 pages :: illustrations ;; 26 cm
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| ISBN
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0521551439
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: 9780521551434
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| Bibliographies/Indexes
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Includes bibliographical references (pages 246-249) and index.
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| Contents
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pt. 1. Thermodynamics of non-interacting systems and ground states of interacting systems -- 1. Free energy and correlation functions of the XY model -- 2. Systems with a delta-function potential -- 3. The isotropic Heisenberg model -- 4. The XXZ model -- 5. XYZ and eight-vertex models -- 6. The Hubbard model -- pt. 2. 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 -- pt. 3. 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 -- pt. 4. The quantum transfer matrix and recent developments -- 15. The 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 -- App. A. The Young tableau and the theorem of Lieb and Mattis -- App. B. The number of string solutions -- App. C. The commuting transfer matrix and spectral parameter -- App. D. The matrix Q(v) -- App. E. Special functions.
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| Abstract
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"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 between 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." "This book, written by one of the top physicists in this field, and the originator of much of the work in the field, will be of great interest to theoretical condensed matter physicists."--Jacket.
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| Subject
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Bethe-ansatz technique.
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Mathematical physics.
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Statistical thermodynamics.
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Bethe, Ansatz de.
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Physique mathématique.
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Thermodynamique statistique.
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Bethe-ansatz technique.
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Bethe-ansatz technique.
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Bethe-ansatz, technique de.
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Condensed matter.
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Física matemática.
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Matematisk fysikk.
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Mathematical physics.
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Mathematical physics.
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Physique mathématique.
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Statistical thermodynamics.
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Statistical thermodynamics.
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Statistisk termodynamikk.
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Thermodynamique statistique.
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Mathematische fysica.
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Statistische mechanica.
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| Subject
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Thermodynamica.
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| Dewey Classification
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530.15
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| LC Classification
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QC20.7.B47T35 1999
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| NLM classification
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33.26bcl
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