Statistical Mechanics

McQuarrie, Donald A.

Omschrijving

Statistical Mechanics is the extended version of McQuarrie's earlier text - Statistical Thermodynamics [USB 1984]. Statistical Mechanics [previously published by Longman Education] is a renowned accessible introduction to the subject. Preface xi Introduction and Review 1(34) Introduction 1(2) Classical Mechanics 3(5) Quantum mechanics 8(5) Thermodynamics 13(7) Mathematics 20(15) The Canonical Ensemble 35(16) Ensemble Averages 35(2) Method of the Most Probable Distribution 37(3) The Evaluation of the Undetermined Multipliers, ? and ? 40(4) Thermodynamic Connection 44(7) Other Ensemble and Fluctuations 51(17) Grand canonical Ensemble 51(4) Other Ensembles 55(2) Fluctuations 57(11) Boltzmann Statistics, Fermi-Dirac Statistics, and Bose-Einstein Statistics 68(13) The Special Case of Boltzmann Statistics 68(5) Fermi-Dirac and Bose-Einstein Statistics 73(8) Ideal Monatomic Gas 81(10) The Translational Partition Function 81(2) The Electronic and Nuclear Partition Functions 83(2) Thermodynamic Functions 85(2) A Digression on Atomic Term Symbols 87(4) Ideal Diatomic Gas 91(22) The Rigid Rotor-Harmonic Oscillator Approximation 91(5) The Vibrational Partition Function 96(2) The Rotational Partition Function of a Heteronuclear Diatomic Molecule 98(3) The Symmetry Requirement of the Total Wave Function of a Homonuclear Diatomic Molecule 101(3) The Rotational Partition Function of a Homonuclear Diatomic Molecule 104(4) Thermodynamic Functions 108(5) Classical Statistical Mechanics 113(16) The Classical Partition Function 113(4) Phase Space and the Liouville Equation 117(4) Equipartition of Energy 121(8) Ideal Polyatomic Gas 129(13) The Vibrational Partition Function 130(3) The Rotational Partition Function 133(3) Thermodynamic Functions 136(2) Hindered Rotation 138(4) Chemical Equilibrium 142(18) The Equilibrium Constant in Terms of Partition Functions 142(2) Examples of the Calculation of Equilibrium Constants 144(7) Thermodynamic Tables 151(9) Quantum Statistics 160(34) A Weakly Degenerate Ideal Fermi-Dirac Gas 162(2) A Strongly Degenerate Ideal Fermi-Dirac Gas 164(5) A Weakly Degenerate Ideal Bose-Einstein Gas 169(2) A Strongly Degenerate Ideal Bose-Einstein Gas 171(6) An Ideal Gas of Photons (Blackbody Radiation) 177(5) The Density Matrix 182(3) The Classical Limit from the Quantum Mechanical Expression for Q 185(9) Crystals 194(28) The Vibrational Spectrum of a Monatomic Crystal 194(3) The Einstein Theory of the Specific Heat of Crystals 197(3) The Debye Theory of the Heat Capacity of Crystals 200(6) Introduction to Lattice Dynamics 206(6) Phonons 212(2) Point Defects in Solids 214(8) Imperfect Gases 222(32) The Virial Equation of State from the Grand Partition Function 224(2) Virial Coefficients in the Classical Limit 226(7) Second Virial Coefficient 233(4) Third Virial Coefficient 237(2) Higher Virial Coefficients for the Hard-Sphere Potential 239(2) Quantum Corrections to B2(T) 241(2) The Law of Corresponding States 243(2) Conclusion 245(9) Distribution Functions in Classical Monatomic Liquids 254(46) Introduction 255(2) Distribution Functions 257(4) Relation of Thermodynamic Functions to g(r) 261(3) The Kirkwood Integral Equation for g(r) 264(4) The Direct Correlation Function 268(2) Density Expansions of the Various Distribution Functions 270(4) Derivation of Two Additional Integral Equations 274(3) Density Expansions of the Various Integral Equations 277(2) Comparisons of the Integral Equations to Experimental Data 279(21) Perturbation Theories of Liquids 300(26) Statistical Mechanical Perturbation Theory 302(2) The van der Waals Equation 304(2) Several Perturbation Theories of Liquids 306(20) Solutions of Strong Electrolytes 326(31) The Debye-Huckel Theory 328(12) Some Statistical Mechanical Theories of Ionic Solutions 340(17) Kinetic Theory of Gases and Molecular Collisions 357(22) Elementary Kinetic Theory of Transport in Gases 358(7) Classical Mechanics and Molecular Collisions 365(5) Mean-Square Momentum Change During a Collision 370(9) Continuum Mechanics 379(23) Derivation of the Continuity Equations 380(6) Some Applications of the Fundamental Equations of continuum Mechanics 386(5) The Navier--Stokes Equations and Its Solution 391(11) Kinetic Theory of Gases and the Boltzmann Equation 402(24) Phase Space and the Liouville Equation 402(3) Reduced Distribution Functions 405(1) Fluxes in Dilute Gases 406(3) The Boltzmann Equation 409(2) Some General Consequences of the Boltzmann Equation 411(15) Transport Processes in Dilute Gases 426(26) Outline of the Chapman--Enskog Method 426(4) Summary of Formulas 430(3) Transport Coefficients for Various Intermolecular Potentials 433(7) Extensions of the Boltzmann Equation 440(12) Theory of Brownian Motion 452(15) The Langevin Equation 452(4) The Fokker--Planck Equation and the Chandrasekhar Equation 456(11) The Time-Correlation Function Formalism, I 467(76) Absorption of Radiation 470(6) Classical Theory of Light Scattering 476(8) Raman Light Scattering 484(5) An Elementary Derivation of the Basic Formulas 489(6) Dielectric Relaxation 495(4) Time-Correlation Function Formalism of Molecular Spectroscopy 499(8) Derivation of the Basic Formulas from the Liouville Equation 507(5) Time-Correlation Function Expressions for the Thermal Transport Coefficients 512(10) Applications of the Time-Correlation Function Formulas for the Thermal Transport Coefficients 522(21) The Time-Correlation Function Formalism, II 543(50) Inelastic Neutron Scattering 544(9) The Weiner--Khintchine Theorem 553(8) Laser Light Scattering 561(11) The Memory Function 572(7) Derivation of Thermal Transport Coefficients 579(14) Appendix A Values of Some Physical Constants and Energy Conversion Factors 593(2) Appendix B Fourier Integrals and the Dirac Delta Function 595(4) Appendix C Debye Heat Capacity Function 599(1) Appendix D Hard-Sphere Radial Distribution Function 600(4) Appendix E Tables for the m-6-8 Potential 604(4) Appendix F Derivation of the Golden Rule of Perturbations Theory 608(4) Appendix G The Dirac Bra and Ket Notation 612(3) Appendix H The Heisenberg Time-Dependent Representation 615(3) Appendix I The Poynting Flux Vector 618(4) Appendix J The Radiation Emitted By an Oscillating Dipole 622(4) Appendix K Dielectric Constant and Absorption 626(5) Index 631
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Schrijver
McQuarrie, Donald A.
Titel
Statistical Mechanics
Uitgever
University Science Books,U.S.
Jaar
2000
Taal
Engels
Pagina's
640
Gewicht
1338 gr
EAN
9781891389153
Afmetingen
267 x 178 x 38 mm
Bindwijze
Gebonden

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