Statistical Mechanics: An Intermediate Course

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World Scientific, 2001 - Science - 648 pages
This book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg-Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena.
 

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Contents

Preface
1
Integrability Conditions
48
2A Harmonic Oscillators Ergodicity
149
2C DensityDensity Correlation Function of a Perfect Gas
155
Classical
163
3A Poisson Description of Spin Dynamics
217
Problems
226
4A Twolevel Systems
279
Phase Transitions and Critical Phenomena
385
Model Systems Scaling Laws and Mean Field
413
Problems
473
Problems
520
Problems
578
Appendix B Mathematical Digression
597
Linear Stability Theory
627
Eigenvalue and Eigenvector Problems for Non
631

Problems
348
Problems
383

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