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Авторизация |
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McQuarrie D.A. — Statistical Mechanics |
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Предметный указатель |
-law 200 204
Absolute activity 55
Absorbing barrier 399
Absorption coefficient 471 496 629
Absorption lineshape 472 501
Accessible quantum states 36 37 45 46
Acoustic attenuation coefficient 571
Acoustical branch 210
Activity 297
Activity coefficient 338
Adiabatic compressibility 29 390
Adjoint operator 616
Adsorption 79 221
After-effect function 490 539 627
Angle of deflection 368 375 433
Angle of deflection and hard spheres 370 375 446
Angle-dependent potentials 249 250
Angular Laplacian operator 398
Angular momentum, classical 5
Angular momentum, conserved 5 87 88
Angular momentum, coupling 87 88 109
Angular momentum, orbital 87 88
Angular momentum, spin 87 88
Anharmonic oscillator 111 112
Anharmonicity constant 111 112
Anticommutator 539 540
Antisymmetric wave function 13
Association of alkali metal vapors 144 158
Asymmetric top 134
Asymmetric top, partition function of 136
Asymptotic approximation 32
Atomic energy states 84 90
Atomic term symbols 83 84 87
Autocorrelation function 469
Average potential model 294
Avogadro’s number 593
Barker — Henderson theory 306
Barker — Henderson theory and effective hard-sphere diameter 310 322
Barker — Henderson theory and Lennard — Jones potential 310-314
Barker — Henderson theory and mixtures 324
Barker — Henderson theory and square well potential 308 309 321
Barker — Henderson theory and three-body forces 322
Barker — Henderson theory and virial coefficients 322
Barometric formula 123
BBGKY hierarchy 406 418 419
Bernoulli numbers 99
Bernoulli’s equation 391
Berthelot equation of state 247
Binary collisions 409 440
Binary mixture of ideal gas 90
Binary mixture of nonideal gas 248
Binomial coefficient 22
Binomial distribution 22 24
Binomial theorem 22
Black body cavity 177
Blackbody distribution law 31 182 192 193 376
Blackbody radiation 177-182
Blackbody radiation and Planck distribution law 31 182 192 193
Bloch differential equation 187
Bogoliubov theory 440
Bohr magneton 593
Boltzmann constant 43 593
Boltzmann equation 409
Boltzmann H-theorem 413
Boltzmann statistics 68 72 77
Bom — Oppenheimer approximation 91 129 145 147 148
Bom — Oppenheimer potential 92
Born approximation 544
Born — Green — Yvon equation 268 290 353 419
Bose — Einstein condensation 174 175 176 191 192
Bose — Einstein statistics 73 75 160
Boson 13 69 101 160
Boyle temperature 247
Bra vector 613
Brillouin scattering 213 571
Brillouin shifts 572
Brownian motion 124 452 514
Brownian motion and Langevin equation 452
Brownian motion and mean-square displacement 398 455 462
Bulk modulus (Modulus of compression) 221 583
Bulk viscosity 385 386 522 523 539 541
Bulk viscosity and corresponding states 531 539
Burnett equation 429
canonical ensemble 37
Canonical ensemble average 39 40 182
Canonical ensemble partition function 44
Canonical ensemble, of thermodynamic functions 44 45 58
Capillary flow 394
Carnahan — Starling equation of state 250 280 293 444
Carnahan — Starling equation of state, for mixtures 297
Center of mass 26 133 140
Center of mass and relative coordinates 92 367
Center of mass coordinates 366
Central force 5 6 7 27
Central moment 20 30
Centrifugal distortion constant 112
Centrifugal force 5
Chandler — Weeks — Andersen theory 315
Chandler — Weeks — Andersen theory and effective hard-sphere diameter 317 322 323
Chandler — Weeks — Andersen theory and reference potential 315
Chandler — Weeks — Andersen theory and structure factor 318 323
Chandler — Weeks — Andersen theory and thermodynamic properties 318 319
Chandrasekhar equation 459
Chaos, molecular 410 422
Chapman — Enskog method 419 422 426 446
Chapman — Enskog method and time correlation function 525-527
Chapman — Kolmogorov equation 457
Characteristic function 31 55
Characteristic rotational temperature 99
Characteristic thermodynamic potential 66
Characteristic vibrational temperature 97 132
Charging parameter 330 336
Chemical equilibria 18 142
Chemical kinetics from light scattering 568
chemical potential 17 143 151
Classical configuration integral 116
Classical limit 72 75 76 113 185-189
Classical limit, equilibrium 72 75 76 113 185-189
Classical limit, nonequilibrium 494 512 535
Classical mechanics 3
Classical partition function 113
Classical statistical mechanics 113
Classical statistics 72
Clausius — Mossotti equation 63
Closest-packed hard-sphere volume 279
Closure relation 473 614
Cluster diagrams 230 231 232 246
Cluster diagrams, connected 231
Cluster diagrams, doubly connected 231 232
Cluster diagrams, integrals of 230
Cluster diagrams, stars in 231 232
Coefficient of bulk viscosity 385 386 521 522 523 539
Coefficient of bulk viscosity, reduced 531 539
Coefficient of self-diffusion 431 448
Coefficient of self-diffusion and time-correlation function 515
Coefficient of self-diffusion, reduced 435 448 531 532 539
Coefficient of shear viscosity 361 385 386 431 447
Coefficient of shear viscosity and time-correlation function 519
Coefficient of shear viscosity, frequency-dependent 583
Coefficient of shear viscosity, reduced 434 448 531 532 539
Coherent neutron scattering 547
Collision cross section 372
Collision cylinder 407
Collision frequency 370 373 375 524 525
Collision operator 409
Collision term 410 419 422
Collision time 524 525
Collision trajectory 376
Collision-induced absorption 375 503 505 506 541 542
Collision-induced dipole moment 542
| Collision-induced light scattering 482 484
Collisional integrals 428 430
Collisional integrals and recursion formula 448
Collisional integrals and thermal transport coefficients 431
Collisional integrals, for hard spheres 430
Collisional integrals, reduced 431 447
Collisional integrals, table of 434
Collisional invariants see "Summational invariants"
Color center 216 220
Combinatorial formulas 22 23
Commutator 494 615
Commutator, repeated 502
Complementary solution 394
Complete set 613 597 598
Completeness relation 536 537 614
Compressibility factor 246 248 283
Configuration integral 116 124 222 227
Conjugate momentum 7
Conservation equations of hydrodynamics 380
Conservation of angular momentum 27
Conservation of density in phase 120
Conservation of energy 8 27
Conservation of extension in phase space 120 422
Conservation of momentum 26
Constitutive relations 618 622 628
Continuity equation 380
Convolution approximation 586
Convolution theorem 269 270 573 586
Correlation function 453 468
Correlation function and classical limit 512
Correlation function and dipole 473
Correlation function and polarizability 486
Correlation function, in canonical ensemble 268
Correlation function, in grand canonical ensemble 268
Correlation function, one-sided 501
Correlation function, statistical 555 556
Correlation time 453 468-469
Corresponding states, law of 200 204 205 243-245 248 434 435 448 531 532 539
Couette flow 393 400
Couette — Poiseuille flow 400 401
Coupled harmonic oscillators 196 207
Coupling parameter 263 264 290
Critical constants 244 257 288
Critical parameters, reduced 288
Critical parameters, reduced, Barker — Henderson theory 309 315
Critical parameters, reduced, from various theories 288
Critical parameters, reduced, square-well fluid 309
Cross section 372
Crystals, Debye model of 200-206
Crystals, defects of 214-217 219 220
Crystals, Einstein model of 197-200
Crystals, vapor pressure and 220
Cumulants 548
Cyclic graphs 343 353
Cyclic permutation 498 511 535
de Broglie wavelength 83 90 163 207
Debye and dielectric relaxation 497
Debye and frequency 202
Debye and heat capacity function 203 219 599
Debye and rotational relaxation 398
Debye and temperature 32 202 203 206 221
Debye and theory of heat capacity of crystals 32 200-206 218 219
Debye — Hueckel kappa 332 352
Debye — Hueckel radial distribution function 353
Debye — Hueckel screening parameter 332
Debye — Hueckel theory 328
Debye — Hueckel theory and ionic atmosphere 335 352
Debye — Hueckel theory and limiting law 336
Debye — Hueckel theory and potential of mean force 331 334
Debye — Hueckel theory and screening parameter 332
Debye — Hueckel theory and thermodynamics 336-339
Debye — Hueckel theory, from Mayer theory 343
Debye — Hueckel theory, from Omstein — Zemicke equation 344-345
Deflection angle 368 375 433
Deflection angle, for hard spheres 370 375 446
Degeneracy, harmonic oscillator 10 94
Degeneracy, particle-in-a-box 10 11 28
Degeneracy, rigid-rotor (three-dimensional) 10 94
Degeneracy, rigid-rotor (two-dimensional) 112
Degeneracy, spherical top 134
Degeneracy, symmetric top 135
Degrees of freedom 114
Degrees of freedom, rotational 130
Degrees of freedom, separation of 116 130
Degrees of freedom, translational 130
Degrees of freedom, vibrational 130
Delta function 20 30 187 472 504 535 595-598
Delta function, integral representation of 473
Density matrix 185 537
Density of states in phase space 118 403
Density of states, photon gas 179
Density of states, three-dimensional ideal gas 82
Density of states, two-dimensional ideal gas 28 89
Depolarization ratio 482 484
Deviation plots 438 439
DHLL + 347
dielectric constant 50
Dielectric constant and absorption Appendix K 629
Dielectric constant, complex Appendix K
Dielectric constant, frequency-dependent Appendix K
Dielectric loss 496 Appendix
Dielectric relaxation 495
Dieterici equation 246
Difference equation 207
Differential cross section 422
Differential cross section, neutron scattering 544
Differential cross section, Raman scattering 484
Diffuse double layer 354
Diffusion coefficient 363 364
Diffusion coefficient and mixtures 449
Diffusion coefficient, frequency-dependent 582 591
Diffusion coefficient, generalized 591
Diffusion constant 216 220
Diffusion equation 386 397 513 564
Diffusion equation, Fourier transform and 386 388 513
Diffusion equation, fundamental solution for 387 388 397
Diffusion equation, in phase space 459
Diffusion equation, in velocity space 458
Diffusion equation, method of images in 399
Diffusion equation, rotational 398
Diffusion equation, with anisotropic 398
Diffusion equation, with chemical reaction 568
Diffusion equation, with drift 398 564
Diffusion in solids 215 216
Diffusion tensor 580
Diffusion velocity 407
Dipole moment 49
Dipole moment operator 471
Dirac -function 20 30 187 472 504 535 595-598
Dirac notation Appendix G
Direct correlation function 268 297
Direct correlation function, density expansion 274
Direct correlation function, hypernetted chain equation 276
Direct correlation function, mean spherical model 355
Direct correlation function, Percus — Yevick equation 276 297
Direction cosines 479 480 533
Dispersion curve 208 209 219
Displacement vector 49
Dissociation energy 96 110 132
Distinguishable particles 69 70 71
Distribution function in canonical ensemble 257
Distribution function in grand canonical ensemble 268
Doob’s theorem 560 561
Doppler broadening 127
Doppler effect 127
Double dot notation 384
Dual space 613
Dulong and Petit, law of 49 199 204 218
Dyadic 383
Ehrenfest dog-flea experiment 423
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