
| 作者简介 Roger Balian: From Microphysics to Macrophysics Methods and Applications of Statistical Physics Volume! Study Edition |
| Introduction 1. Paramagnetism of Ionic Solids 1.1 Micro-states and Macro-state 1.1.1 Paramagnetism 1.1.2 The Model 1.1.3 The Probabilistic Nature of a Macroscopic State 1.1.4 Calculation of Expectation Values 1.2 Microscopic Interpretation of Thermal Equilibrium 1.2.1 Maximum Disorder 1.2.2 The RSle of Energy Conservation 1.2.3 The Degree of Disorder 1.2.4 Thermal Contact and Partition of Energy 1.2.5 Absence of Correlations Between Magnetic Moments at Thermal Equilibrium 1.2.6 Spin Thermostat 1.3 Identification of the Thermodynamic Quantities 1.3.1 Relative Temperature 1.3.2 The Boltzmann-Gibbs Distribution 1.3.3 Entropy and Absolute Temperatur 1.4 Experimental Checks 1.4.1 Equations of State 1.4.2 Curie's Law 1.4.3 Saturation 1.4.4 Thermal Effects; Characteristic Temperature 1.4.5 Magnetic Resonance 1.4.6 Discussion of the Model Summary Exercises la Negative Temperatures lb Brillouin Curves lc Langevin Paramagnetism 2 Probabilistic Description of Systems 2.1 Elements of the Quantum Formalism 2.1.1 Hilber 2.1.2 Operators 2.1.3 Observables 2.1.4 Pure States, Preparations and Measurements 2.1.5 Evolution, Transformations, Invariances 2.1.6 Shortcomings of the State Vector Concept 2.2 Quantum Systems: Density Operators 2.2.1 Pure States and Statistical Mixtures 2.2.2 The Expectation Value of an Observable 2.2.3 Characteristic Properties of Density Operators 2.2.4 The Density Operator of a Subsystem 2.2.5 Measurements in Quantum Mechanics 2.2.6 Evolution with Time 2.2.7 Summary: Reformulation of Quantum Mechanics 2.3 Classical Systems: Densities in Phase 2.3.1 Phase Space and Micro-states 2.3.2 Classical Macro-states 2.3.3 Evolution with Time 2.3.4 The Classical Limit of Quantum Statistics 2.3.5 Reduced Densities 2.3.6 Uncertain Particle Number Summary Exercises 2a Density Operators for a Spin-1/2 2b Density Fluctuations 3. Information Theory and Statistical Entropy 3.1 Information and Probability Theory 3.1.1 Statistical Entropy: The Measure of Missing Information 3.1.2 Properties of the Statistical Entropy 3.1.3 The Statistical Entropy Derived from the Additivity Postulate 3.1.4 Continuous Probabilities 3.2 The Statistical Entropy of a Quantum State 3.2.1 Expression as Function of the Density Operator 3.2.2 Inequalities Satisfied by the Statistical Entropy 3.2.3 Changes in the Statistical Entropy 3.2.4 Information and Quantum Measurements 3.3 The Statistical Entropy of a Classical State 3.3.1 Classical Statistical Entropy 3.3.2 Properties 3.4 Historical Notes About the Entropy Concept 3.4.1 Entropy in Thermodynamics 3.4.2 Entropy in Kinetic Theory 3.4.3 The Period of Controversies …… 4 The Boltzmann-Gibbs Distribution 5 Thermodynamics Revisited 6 On the Proper Use of Epuilibrium Thermodynamics 7 The Perfect Gas 8 Molecular Properties of Gases 9 Condensation of Gases and Phase Transitions Srbject Index Units and Physical Constants A Few Useful Formulae |
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