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| McQuarrie D.A. — Statistical Mechanics |
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| Предметный указатель |
Eigenvalues, harmonic oscillator 10 94
Eigenvalues, particle-in-a-box 10 27 28
Eigenvalues, rigid-rotor 10 94
Einstein relation 577
Einstein, characteristic temperature of 32 49 199
Einstein, heat capacity theory of 31
Elastic collision 412
Elastic constants 206
Elastic moduli 584
Electrode potential 354
Electron gas in metals 164-168
Electronic heat capacity of metals 168 221
Electronic partition function 83
Electrophoretic mobility 564
Energy balance equation 384
Energy conversion factors 594
Energy density (electromagnetic radiation) 679
energy equation 261 419
Energy equation, mixtures 293
Ensemble average reversible work 43 54
Ensemble average, classical 118
Ensemble average, quantum 35 182
Ensemble postulate of Gibbs 36 41 118
Ensemble, Canonical 37 403
Ensemble, Grand Canonical 51
Ensemble, isothermal-isobaric 55
Ensemble, microcanonical 37 56
Enskog equation of change 412
Enskog theory 440
Enskog theory and time-correlation functions 530
Enskog theory, modified 443
entropy 13 78
Entropy and disorder 56 138
Entropy of ideal diatomic gas 109
Entropy of ideal monatomic gas 86
Entropy of ideal polyatomic gas 138
Entropy, canonical ensemble and 43 48 58
Entropy, grand canonical ensemble and 54 58
Entropy, isothermal-isobaric ensemble and 58
Entropy, microcanonical ensemble and 55 58
Equation of state 246 247
Equation of state, Barker — Henderson 310 321
Equation of state, Chandler — Weeks — Andersen 316
Equation of state, hard spheres 257 292
Equation of state, ideal gas and 49
Equation of state, ideal quantum gas and 163 175 176
Equation of state, Pade approximant 255-257
Equation of state, Ree — Hoover 255-257
Equation of state, Van der Waals 304 321
Equation of state, van der Waals, generalized 321
Equilibrium constant 19 29 143 144 151 155
Equipartition of energy 121 127 128 454
Equivalence of ensembles 63
Ergodic hypothesis 554 555
Error function 127
Escape velocity 373
Eucken correction 374 449
Euler angles 535
Euler equation 389
Euler — Maclaurin summation formula 99 110 111
Euler’s theorem 17 18 65
Exponential approximation 351
Exponential-6 potential 436
Extensive property 17 243
Extent of reaction 18
F-center 216 220
f-function 228 342
Faraday’s law 618
Fermi energy of a metal 165 190
Fermi Golden Rule Appendix F
Fermi pseudopotential 546
Fermi temperature 166 190 221
Fermi — Dirac distribution function 164
Fermi — Dirac statistics 73 74 160
fermions 13 69 101 160
Fick’s law 216 386
Fick’s Law, generalized 582 591
Field point 272
Flow velocity 407
Fluctuating force 452
Fluctuation-dissipation theorem 463 540 541
Fluctuations 57 79
Fluctuations, of canonical ensemble 59 60
Fluctuations, of grand canonical ensemble 61 62
Fluctuations, of isothermal-isobaric ensemble 62 67
Flux vector 408
Fokker — Planck equation 456
Fokker — Planck equation, multidimensional 464
Fokker — Planck equation, solution for 464
force constant 27 93 110 196
Fourier series 557 587
Fourier transform 186 312 313 397 595-598
Fourier transform and convolution theorem 269 270 586
Fourier transform and diffusion equation 386 388 397 513 514
Fourier transform and Navier — Stokes, equation 517
Fourier’s law 385
Free electron model of metals 164-168
Frenkel defect 214 220
Frequency spectrum of crystals 194-197 212
Frequency-dependent coefficient of shear, viscosity 583
Frequency-dependent conductivity 490 539
Frequency-dependent dielectric constant 496 Appendix
Frequency-dependent diffusion coefficient 582 591
Frequency-dependent susceptibility 490
Friction constant 452 463
Fugacity 248 290
Functional 275
Functional differentiation 275
Fundamental solution 387
Fused salts 324
g-bond 342
Gamma function 12 32 247
Gauge invariance 623
Gauge transformation 623
Gaussian distribution 20 24 30 454 460
Gaussian function 20 24
Gaussian gas 252
Gaussian Integrals 252
Gaussian random process 559 587 589 590
Gaussian — Markov process 559 589 590
Gauss’ divergence theorem 380 403
Gauss’ law 329 351
Generalized coordinates 114
Generalized hydrodynamics 584
Generalized momentum 7
Generalized velocities 8
Geometric series 32 97
Gibbs postulate 36 41 118
Gibbs — Duhem equation 18
Gibbs — Helmholtz equation 263 290 353 356
Golden Rule of perturbation theory 471 Appendix
Good quantum number 87
Gouy — Chapman theory 354
Grad’s solution of the Boltzmann equation 429 430
Gram — Charlier series 542 585 586
grand canonical ensemble 51
Grand partition function 54 58 65
graphs 230-232
Graphs, connected 231
Graphs, doubly connected 231 232
Green’s function 386 397
Green’s function, retarded 623
Group velocity 210 219
Grundke — Henderson program 289 322 354 Appendix
Gruneisen constant 218
H-Theorem 413
Hamiltonian function 7
Hamiltonian mechanics 7 404
Hamiltonian operator 9
Hamiltonian operator, additive 12 69 131
| Hamiltonian operator, harmonic-oscillator 10
Hamiltonian operator, rigid-rotor 10 27 28
hard disks 443
Hard spheres, fluid of, and equation of state 279 280 256-275
Hard spheres, fluid of, and mixtures 297
Hard spheres, fluid of, and molecular dynamics calculations 256 280
Hard spheres, fluid of, and radial distribution function 282 Appendix
Hard spheres, fluid of, and thermodynamic properties 283 292 293
Hard spheres, fluid of, and virial coefficients 234 239 241 279
Hard-sphere potential 307 312 313 314
Harmonic oscillator, classical 4 26 27
Harmonic oscillator, quantum 10
Heat capacity of ortho-para hydrogen 106 107
Heat capacity, Debye theory and 200-206 218
Heat capacity, Einstein theory and 197-200 218
Heat capacity, low temperature limit and 204 205 218
Heat of reaction 149 158
Heat of transition 176
Heisenberg equation of motion 492 502 617
Heisenberg representation 472 Appendix
Heisenberg uncertainty principle 9
Henry’s law constant 324
Hermite polynomial 542 585
Hermitian operator 508 537 575 588 615 616 617
Heterodyne method 562 567
Hierarchy of coupled equations 266 290 406 418 419
High temperature limit 75 118 161
Hindered rotation 138 139 140 150
Homodyne 562 566 567
Homogeneous function 18
Hooke’s law 4
Hydrodynamic derivative 381
Hydrodynamic stage 426
Hydrogen atom catastrophe 90
Hypernetted-chain equation 276
Hypernetted-chain equation and density expansion 291
Hypernetted-chain equation and ionic system 346
Hypershell 125
Hypersphere 12 28 124
Ideal gas and photons 177-182 193 212
Ideal gas in an electric field 49
Ideal gas of photons 177-182 193 212
Ideal gas, diatomic 91-112
Ideal gas, monatomic 80-90
Ideal gas, polyatomic 129-141
Ideal hydrodynamic equations 389 419 427
Image source 399
Impact parameter 367
Imperfect gas 222-253
Imperfect gas, polyatomic 249 250
Incoherent neutron scattering 547
Incompressible fluid 396 397
Index of refraction 628 629
Index of refraction, complex 628 629
Index of refraction, frequency-dependent 628 629
Information theory 48 589
Inhomogeneous integral equation 427
Inhomogeneous partial differential equation 394
Inhomogeneous wave equation 623
Inner product 612
Integral equation, linear, solution of 450 451
Integrating factor 14 44 54
Integrating factor, PDE 464
Intensive property 17 243
Interionic radial distribution function 353
Interionic radial distribution function, moment condition 355
Intermediate statistics 78
Intermolecular potential 227 228
Internal pressure 443
Internal rotation 138 139 140 150
Internuclear potential 91 92
Inversion temperature 249
Ionic activity coefficient 338
Ionic atmosphere 335 336
Ionization 158 159
Irrotational flow 391
Isothermal compressibility 62 67
Isothermal-isobaric ensemble 55
Isothermal-isobaric partition function 55 65 90
Isotope effects on equilibrium constants 145-148 158
Isotope exchange reaction 145 147 158
j-j coupling 88
Jacobian 371 422
Joule — Thomson coefficient 249
k-bond 342
Kac ring model 424 425
Kernel 574
Ket vector 613
Kihara correction 449 450
Kihara potential 436
Kinetic theory of gases 125
Kinetic theory of gases and collision probability 359
Kinetic theory of gases and diffusion coefficient 363 364
Kinetic theory of gases and effective hard-sphere diameter 365
Kinetic theory of gases and mean free path 358 359
Kinetic theory of gases and thermal conductivity 362
Kinetic theory of gases and viscosity 360 361
Kirchoff’s law 376
Kirkwood equation 253 264
Kirkwood hierarchy 290
Kramers — Kronig relations 498 499
Kroenecker delta 184 382
Kubo transform 493 494 495 511 535 536
Kubo transform and classical limit 535
L-S coupling 88
Lagrange undetermined multipliers 23 40 48 53
Lagrange’s equations 6 27
Lagrangian function 6
Lagrangian mechanics 6
Lambda transition 177
Lambert’s law 496 629
Landau — Placzek ratio 571 588
Langevin equation 452
Langmuir adsorption isotherm 79 221
Larmor power formula 376
Laser light scattering 561
Laser light scattering, chemical kinetics 568
Laser light scattering, linear hydrodynamics 568
Lattice dynamics 206-212
Lattice vacancy 214-217
Law of corresponding states, equilibrium 200 204 205 243-245 248
Law of corresponding states, thermal transport coefficients 531 532 539
Laws of thermodynamics 13
Legendre polynomial 398 487 488
Legendre transformation 15 30
Lennard — Jones 6-12 parameters from second virial coefficient data 434
Lennard — Jones 6-12 parameters from viscosity data 434
Lennard — Jones, potential 234
Light scattering 62 298 299 476
Light scattering, collision-induced 482-484
Light scattering, laser 561
Line shape 375 472 501
Linear velocity 406 407
Linearized Navier — Stokes equation 570
Linearized Navier — Stokes equation and Fourier transforms 517
Liouville equation 120 125 404 507
Liouville equation, quantum mechanical 510 537
Liouville operator 404 508 537
Liouville operator and Poisson brackets 508
Liouville’s theorem 412
Local compressibility approximation 308
Local equilibrium 361 413
Local Maxwell distribution 419 427
Longitudinal waves 201
Lorentz gauge 623
Lorentzian line shape 504 564
Loschmidt objection 415
m-6-8 potential 437 604
m-6-8 potential and parameters 439
m-6-8 potential, tables for Appendix E
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