Page 7 - STATISTICAL MECHANICS: From First Principles to Macroscopic Phenomena
P. 7
Contents
Preface page ix
Introduction 1
Part I Foundations of equilibrium statistical mechanics 5
1 The classical distribution function 7
Foundations of equilibrium statistical mechanics 7
Liouville’s theorem 14
The distribution function depends only on additive constants of the
motion 16
Microcanonical distribution 20
References 24
Problems 24
2 Quantum mechanical density matrix 27
Microcanonical density matrix 33
Reference 34
Problems 34
3 Thermodynamics 37
Definition of entropy 37
Thermodynamic potentials 38
Some thermodynamic relations and techniques 42
Constraints on thermodynamic quantities 46
References 49
Problems 49
4 Semiclassical limit 51
General formulation 51
The perfect gas 52
Problems 56
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