Statistical Mechanics
An Intermediate Course
G. Morandi, F. Napoli, E. Ercolessi
648 pages, parution le 04/12/2001
(2eme édition)
Résumé
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.
Contents
- Preface
- Ch. 1 Thermodynamics 1
- Ch. 2 Equilibrium Classical Statistical Mechanics 51
- Ch. 3 Spin Hamiltonians I: Classical 163
- Ch. 4 Equilibrium Quantum Statistical Mechanics 229
- Ch. 5 Identical Particles in Quantum Statistical Mechanics 283
- Ch. 6 Spin Hamiltonians II: Quantum 351
- Ch. 7 Phase Transitions and Critical Phenomena 385
- Ch. 8 Model Systems, Scaling Laws and Mean Field Theories 413
- Ch. 9 Superconductivity & Superfluidity 477
- Ch. 10 The Renormalization Group and Critical Phenomena 523
- App. A Mathematical Digression I: Differentiable Manifolds and Exterior Calculus 581
- App. B Mathematical Digression II: Some Mathematics of Hilbert Spaces 597
- App. C Linear Stability Theory 627
- App. D Eigenvalue and Eigenvector Problems for Non-Symmetric Matrices 631
- Bibliography 635
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | World Scientific |
| Auteur(s) | G. Morandi, F. Napoli, E. Ercolessi |
| Parution | 04/12/2001 |
| Édition | 2eme édition |
| Nb. de pages | 648 |
| Format | 15,3 x 21,5 |
| Couverture | Broché |
| Poids | 900g |
| Intérieur | Noir et Blanc |
| EAN13 | 9789810244774 |
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