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This text by one of the originators of the cluster variation method of statistical mechanics is aimed at second- and third-year graduate students studying such topics as the theory of complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics. The central theme is that, given the Hamiltonian for a system, it is possible to calculate the thermodynamics correlation function, either numerically or through the use of infinite series. The book is self-contained, with all required mathematics included either in the text or in Appendixes. The text includes many exercises designed for self-study.Read more
- Was the first book to describe powerful techniques for determining the correlation effects on which thermodynamic properties are based
- Presents novel formulations for the cluster variation method and its expression in terms of correlation functions
- Entirely self-contained, with all essential mathematical formulations included
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'Each chapter in the book ends with challenging exercises for the student. The mathematics are set out clearly with a type that is clear, in a font that is easily read.' Contemporary Physics
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- Date Published: June 2002
- format: Hardback
- isbn: 9780521580564
- length: 310 pages
- dimensions: 244 x 170 x 19 mm
- weight: 0.7kg
- contains: 48 b/w illus. 11 tables
- availability: Available
Table of Contents
1. Laws of thermodynamics
2. Thermodynamic relations
3. The ensemble theory
4. System Hamiltonians
5. The density matrix
6. The cluster variation method
7. Infinite series representations of correlation functions
8. The extended mean-field approximation
9. The exact Ising lattice identities
10. Propagation of short range order
11. Phase transition of the two-dimensional Ising model
Appendix 1. The gamma function
Appendix 2. The critical exponent in the tetrahedron approximation
Appendix 3. Programming organization of the cluster variation method
Appendix 4. A unitary transformation applied to the Hubbard Hamiltonian
Appendix 5. Exact Ising identities on the diamond lattice
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