The Principles of Statistical Mechanics

Front Cover
Courier Corporation, Jan 1, 1979 - Science - 660 pages
Classic treatment of a subject essential to contemporary physics. Classical and quantum statistical mechanics, plus application to thermodynamic behavior.
 

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A very important book in statistical mechanics. Tolman dedicated the book to J. Robert Oppenheimer (with whom all aspects of the text have been discussed). Read full review

Contents

PART ONE THE CLASSICAL STATISTICAL MECHANICS
1
Points of View and Methods of Presentation
10
THE ELEMENTS OF CLASSICAL MECHANICS
16
The Equations of Motion in the Lagrangian Form
25
MaxwellBoltzmann Distribution for Molecules of More Than a Single
30
Canonical Transformations
37
STATISTICAL ENSEMBLES IN THE CLASSICAL MECHANICS
43
Invariance of Density and of Extension to Canonical Transformations
52
Particles with Spin
306
Systems of Two or More Like Particles
312
STATISTICAL ENSEMBLES IN THE QUANTUM MECHANICS
325
Density Matrix Corresponding to a Pure State
333
Conditions for Statistical Equilibrium
339
The Fundamental Hypothesis of Equal a priori Probabilities
349
Validity of Statistical Quantum Mechanics
356
THE MAXWELLBOLTZMANN EINSTEINBOSE
362

The Fundamental Hypothesis of Equal a priori Probabilities in
59
Validity of Statistical Mechanics
65
THE MAXWELLBOLTZMANN DISTRIBUTION
71
The Probabilities for Different Conditions of the System
78
Reexpression of MaxwellBoltzmann Law in Differential Form
83
Mean Values Obtained from the Distribution Law
90
COLLISIONS AS A MECHANISM OF CHANGE WITH TIME
99
38 Molecular States
105
Equilibrium in MaxwellBoltzmann Systems
113
The Closed Cycle of Corresponding Collisions
114
Application of Conservation Laws to Collisions
120
The Probability Coefficients for Collisions
127
BOLTZMANNS HTHEOREM
134
Discussion of the Htheorem
146
Htheorem and the Condition of Equilibrium
159
51 The Generalized Htheorem
165
The Necessity for Modifying Classical Ideas
180
B THE POSTULATES
189
The Operators Corresponding to Observable Quantities and their
195
The Schroedinger Equation for Change in State with Time
209
Surnmary of Postulatory Basis
217
Waveparticle Duality De Broglie Waves for Free Particles
226
Correspondence between Classical and Quantum Mechanical Results
237
Limit
243
Characteristic States Eigenvalues and Eigenfunctions in General
246
Expansions in Terms of Eigenfunctions
254
Transformation Theory
261
The Method of Variation of Constants
273
Particle in Free Space
285
Particle in a Hookes Law Field of Force
291
Two Interacting Particles
299
The Probabilities for Different Conditions of the System
370
Distribution in Systems Containing Constituent Elements of More
374
EinsteinBose Systems
381
FermiDirac Systems
388
THE CHANGE IN QUANTUM MECHANICAL SYSTEMS WITH TIME
395
Integration of Schroedinger Equation when an External Parameter
409
Observation and Specification of State in Studying the Change
416
TimeProportional Transitions
424
c Transition from One Group of Continuous States to Another
431
General Treatment of Changes in Ensembles with Time
450
Definition of for a Representative Ensemble of Systems
459
Application of Htheorem to Interacting Systems
477
The Microcanonical Ensemble as Representing Equilibrium for
486
The Canonical Ensemble as Representing Equilibrium for a System
501
PART THREE STATISTICAL MECHANICS AND THERMODYNAMICS
524
The Canonical Ensemble as Representing Thermodynamic Equili
530
Effect on H of Leaving a System in Essential Isolation
540
Effect on 7 of Interaction in General
549
Carnot Cycle of Processes
556
FURTHER APPLICATIONS TO THERMODYNAMICS
565
Perfect Monatomic Gas
572
Crystals Composed of a Single Substance
583
Mixtures of Substances
595
Vapour Pressures and Chemical Equilibria
604
Equilibrium between Connected Systems
613
d Conditions for Equilibrium when Grand Canonical Ensembles
623
Fluctuations at Thermodynamic Equilibrium
629
Conclusion
649
Some Useful Formulae
655
NAME INDEX 661
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