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| Basic Principles of Statistical Physics | |
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| Microscopic and Macroscopic Description of States | |
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| Basic Postulates | |
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| Gibbs Ergodic Assumption | |
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| Gibbsian Ensembles | |
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| Experimental Basis of Statistical Mechanics | |
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| Definition of Expectation Values | |
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| Ergodic Principle and Expectation Values | |
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| Properties of Distribution Function | |
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| Relative Fluctuation of an Additive Macroscopic Parameter | |
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| Liouville Theorem | |
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| Gibbs Microcanonical Ensemble | |
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| Microcanonical Distribution in Quantum Mechanics | |
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| Density Matrix | |
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| Density Matrix in Energy Representation | |
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| Entropy | |
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| Thermodynamic Functions | |
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| Temperature | |
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| Adiabatic Processes | |
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| Pressure | |
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| Thermodynamic Identity | |
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| Laws of Thermodynamics | |
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| Thermodynamic Potentials, Maxwell Relations | |
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| Heat Capacity and Equation of State | |
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| Jacobian Method | |
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| Joule-Thomson Process | |
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| Maximum Work | |
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| Condition for Equilibrium and Stability in an Isolated System | |
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| Thermodynamic Inequalities | |
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| Third Law of Thermodynamics | |
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| Dependence of Thermodynamic Functions on Number of Particles | |
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| Equilibrium in an External Force Field | |
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| Canonical Distribution | |
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| Gibbs Canonical Distribution | |
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| Basic Formulas of Statistical Physics | |
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| Maxwell Distribution | |
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| Experimental Basis of Statistical Mechanics | |
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| Grand Canonical Distribution | |
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| Extremum of Canonical Distribution Function | |
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| Ideal Gases | |
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| Occupation Number | |
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| Boltzmann Distribution | |
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| Entropy of a Nonequilibrium Boltzmann Gas | |
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| Applications of Statistical Thermodynamics to Some Systems | |
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| Free Energy of the Ideal Boltzmann Gas | |
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| Equipartition Theorem | |
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| Monatomic Gas | |
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| Vibrations of Diatomic Molecules | |
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| Rotation of Diatomic Molecules | |
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| Nuclear Spin Effects | |
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| Electronic Angular Momentum Effect | |
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| Experiment and Statistical Ideas | |
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| Quantum Statistics of Ideal Gases | |
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| Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac Statistics | |
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| Generalized Thermodynamic Potential for a Quantum Ideal Gas | |
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| Fermi-Dirac and Bose-Einstein Distributions | |
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| Entropy of Nonequilibrium Fermi and Bose Gases | |
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| Thermodynamic Functions for Quantum Gases | |
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| Properties of Weakly Degenerate Quantum Gas | |
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| Degenerate Electronic Gas at Temperature Different from Zero | |
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| Experimental Basis of Statistical Mechanics | |
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| Application of Statistics to an Intrinsic Semiconductor | |
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| Application of Statistics to Extrinsic Semiconductor | |
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| Degenerate Bose Gas | |
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| Equilibrium or Black Body Radiation | |
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| Application of Statistical Thermodynamics to Electromagnetic Eigenmodes | |
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| The Electron Gas in a Magnetic Field | |
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| Evaluation of Diamagnetism of a Free Electron Gas | |
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| Density Matrix for a Free Electron Gas | |
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| Evaluation of Free Energy | |
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| Application to a Degenerate Gas | |
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| Evaluation of Contour Integrals | |
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| Diamagnetism of a Free Electron Gas | |
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| Oscillatory Effect | |
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| Magnetic and Dielectric Materials | |
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| Thermodynamics of Magnetic Materials in a Magnetic Field | |
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| Thermodynamics of Dielectric Materials in an Electric Field | |
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| Magnetic Effects in Materials | |
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| Adiabatic Cooling by Demagnetization | |
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| Lattice Dynamics | |
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| Periodic Functions of a Reciprocal Lattice | |
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| Reciprocal Lattice | |
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| Vibrational Modes of a Monatomic Lattice | |
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| Vibrational Modes of a Diatomic Linear Chain | |
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| Vibrational Modes in a Three-Dimensional Crystal | |
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| Normal Vibration of a Three-Dimensional Crystal | |
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| Condensed Bodies | |
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| Application of Statistical Thermodynamics to Phonons | |
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| Free Energy of Condensed Bodies in the Harmonic Approximation | |
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| Condensed Bodies at Low Temperatures | |
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| Condensed Bodies at High Temperatures | |
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| Debye Temperature Approximation | |
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| Volume Coefficient of Expansion | |
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| The Experimental Basis of Statistical Mechanics | |
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| Applications of Statistical Thermodynamics | |
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| Multiphase Systems | |
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| Critical Point | |
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| Macroscopic Quantum Effects: Superfluid Liquid Helium | |
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| Nature of the Lambda Transition | |
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| Properties of Liquid Helium | |
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| Landau Theory of Liquid He II | |
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| Superfluidity of Liquid Helium | |
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| Nonideal Classical Gases | |
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| Pair Interactions Approximation | |
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| Van Der Waals Equation | |
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| Completely Ionized Gas | |
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| Functional Integration in Statistical Physics | |
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| Feynman Path Integrals | |
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| Least Action Principle | |
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| Representation of Transition Amplitude through Functional Integration | |
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| Transition Amplitudes Using Stationary Phase Method | |
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| Representation of Matrix Element of Physical Operator through Functional Integral | |
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| Property of Path Integral Due to Events Occurring in Succession | |
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| Eigenvectors | |
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| Transition Amplitude for Time-Independent Hamiltonian | |
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| Eigenvectors and Energy Spectrum | |
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| Schrödinger Equation | |
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| Green Function for Schrödinger Equation | |
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| Functional Integration in Quantum Statistical Mechanics | |
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| Statistical Physics in Representation of Path Integrals | |
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| Partition Function of Forced Harmonic Oscillator | |
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| Feynman Variational Method | |
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| Feynman Polaron Energy | |
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| References | |
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| Index | |