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Kubo R. — Statistical Mechanics: An Advanced Course with Problems and Solutions
Kubo R. — Statistical Mechanics: An Advanced Course with Problems and Solutions

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Название: Statistical Mechanics: An Advanced Course with Problems and Solutions

Автор: Kubo R.

Аннотация:

This book provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions.

Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences who wishes to work in these rapidly developing scientific and technological fields.

The collection of examples and problems is comprehensive. The problems are grouped in order of increasing difficulty.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 425

Добавлена в каталог: 23.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Gamma$-function      168 222
$\Gamma$-space      4
$\lambda$-transition      239 309
$\mu$-space      4 363
(absolute) activity      23 83 192 247 286
Abnormal system      99 147
Acceptor      237 254 256 273 283
Additivity of entropy      17 188
Adiabatic compressibility      382
Adiabatic invariant      14
Adiabatic process      14 58 60 63
Adiabatic theorem      14 76
Adsorbing surface      133 150 204 223
Adsorption center      133 150
Alloy      309 321 323 326 338 347
Alloy, A B-type      307 315 322
Alloy, order-disorder change of alloys      307
Alloy, partition function for binary alloy      326 327
Anharmonic oscillator      135 156 203
Anharmonic term      219
Anomalous heatcapacity      331 338
Anomalous specific heat      41
Antiferromagnetic crystal      322
Antiferromagnetic material      325 344 346
Antiferromagnetic spin ordering      344
Antiferromagnetism      308
Antisymmetric wave function      182 186
Asymptotic evaluation      106 107
Average energy      26 40
Average field      309
Average number density      326 341
Average potential      309
Average value of a dynamical quantity      111
Average, time      63
Background electrons      327
Band structure      see “Energy bands”
band theory      245
Band, conduction      236 246 256 265 271 283 287
Band, filled      236 254
Band, valence      236 254
Becker, R.      374
Bernoulli’s formula      32 65
Bethe’s approximation      321 328 358
Binomial distribution      399
Binomial theorem      73
Birkhoff      87
Black body      146
Bogolyubov      216
Bohr — van Leeuwen theorem      138
Bohr-magneton      138 150 255 256
Boltzmann      123 126
Boltzmann ( — Maxwell) distribution      30 231
Boltzmann equation      363—365 371 372 377 378 393 409—412
Boltzmann statistics      30 60 85 92 150 183 239 255 269 280
Boltzmann, linearization of, equation      366
Bose gas, chemical potential of      248 275
Bose gas, ideal      30 238 248 254 257 259 288 291 298
Bose gas, internal energy of      257
Bose gas, partition function of      298
Bose gas, specific heat of      450
Bose gas, thermodynamic properties of      257 288
Bose gas, weak degeneracy of      239
Bose — Einstein condensation      239 248 254 259 292
Bose — Einstein condensation, critical temperature of      249
Bose — Einstein statistics      9 28 53 60 62 94 182 238 275
Bose-distribution      29 238
Bose-particle      29 186 239
Bose-system, degeneracy of      239
Boson      29 186 239
Boson, state density of free      248
Bragg-Williams’ approximation      305 315 321 323 331 333 335
Brillouin function      149
Broglie, de, wavelength      84 85
Brownian motion      275 378 400 402 416
Bulk viscosity      378 410
Callen H.B.      416
Canonical (conjugate) momentum      140 200
canonical ensemble      see “Distribution”
Canonical ensemble, partition function of      22
Canonical equation of motion      2
Cauchy’s Theorem      125 166
Central limit theorem      105
Centrifugal force      140
Chainmolecule      134 135 153 156 159
Chaos      see “Molecular chaos”
Chapman’s relation      412
Charged particles      63 309
Charged particles, distribution of      309
Charged particles, system of, density matrix of      139 180
Charged particles, system of, entropy of      63
Charged particles, system of, Hamiltonian of      138
Charged particles, system of, Hemholtz free energy of      100
chemical potential      17 23 30 133 224 269 403 “Bose “Photon
Chemical reaction      357
Chemical reaction, equilibrium constant of      202 211 222
Classical limit      6 9 30 139 181 183 231 255 278
Classical statistics      see “Boltzmann statistics”
Clausius      51
Closed shell      184
Cluster      191
Cluster expansion      183 190
Cluster, (irreducible), integral      191 205 227
Cohen E.G.D.      216
Cole-Cole plot      409
Collision term      388
Collision, average duration of      362
Collision, collision      362
Colloidal particles      276 378 400
Compressibility of ideal Fermi gas      253 268
Compressibility, adiabatic      382
Compressibility, isothermal      165 377 399
Condensation, Bose — Einstein      239 248 254 259 292
Conduction band      236 246 256 265 271 283 287
Conduction band, state density of      372
Conduction electron      243 254 256
Conductivity      see “Electric conductivity” “Heat
Conductor      310 415
Configurational partition function      109
Configurational probability distribution      109
Conjugate force      109
Conjugate momentum      2 112 140—142 200
Conservative system      2
Contact, material transferring      12 16 44 48
Contact, mechanical      12
Contact, pressure transmitting      13 17
Contact, thermal      12 15 46 48
Convolution (folding) property      103
Cooperative phenomenon      307 321
Coordinate representation      129 259 295
Coordinate representation of density matrix      129 178 295
Coordinate representation of Schroedinger equation      178
Coriolis’ force      144
Correlation function      312 325 377 378 398 400
Correlation function of electric current      381
Correlation, spatial      325 342
Correlation, velocity      414
Covariance matrix      383 384
Covering ratio      62
Cramer      105
Critical temperature      307 308 315 321 338
Critical temperature of Bose — Einstein condensation      249 (see also “Temperature”)
Cross-section      141 363 369 387 416
Cross-section, differential      364
Crystal      203 234
Crystal imperfection of Frenkel type      90
Crystal lattice      160
Crystal, antiferromagnetic      322
Crystal, ferromagnetic      313
Crystal, heatcapacity of      136
Crystal, imperfect      61 90
Crystal, molecular      338
Crystal, paramagnetic      309
Crystal, perfect      61 90
Crystalline mixture      337
Cubic expansion coefficient      164
Curie point      322 328 356
Curie temperature      307 313 314
Curie temperature for para- and ferromagnetism      315 331
Curie — Weiss law      315 333
Curie’s constant      315
Curie’s law      150 333
Cyclic permutation      296
Dalton’s law      56 64
Darwin      104
Debye      115 136
Debye (screening) length      319 340
Debye frequency      116 161
Debye model, theory      116 118 136
Debye — Hueckel theory      310 324
Debye’s equation      409
Debye’s screening constant      353
Degeneracy      202 248 252 253 255 278
Degeneracy in Bose system      239
Degeneracy of lowest electronic state      187
Degeneracy of nuclear spin states      184 187 221
Degeneracy of rotational states      185 206
Degeneracy temperature      265 327 364
Degeneracy, non, condition      30 183 228
Degeneracy, non, of conduction electrons      244
Degeneracy, spin      247 269
Degeneracy, weak, of Bose gas      257
Degenerate Fermi gas      265 267
Degenerate Fermi system      231 232
Degenerate particles      365
Degenerate, non-electron gas      256 327 364 377
Density distribution      131 143
Density distribution in rotating coordinate system      131 143
Density matrix for canonical distribution or ensemble      111 128 138 139 174—178 181
Density matrix for Fermi gas      259 295
Density matrix for harmonic oscillators      139
Density matrix for system of charged particles      139 180
Density matrix, coordinate representation of      129 178 295
Density matrix, for microcanonical distribution or ensemble      111 128 138 175
Density of electrons      324 339
Density of states      8 15 44 57 67 76 96 102 137 165 168 229 233 382
Density of states for free bosons      248
Density of states of conduction band      372
Density of states of electrons      251 252 263
Diagram      191
Diagram, irreducible      227
Diagram, reducible      227
dielectric constant      113 311 318 379 408
Dielectric medium      311
Diffraction, neutron      307 309
Diffusion constant or coefficient      369 374 379 400 402
Dipole, electric      113 126 379
Dipole, rigid      137 169
Dipoles, interaction of two      169
Dispersion Formula      136 160
Dissipation-fluctuation theorem      374 416
Dissipative process      417
Dissociation energy      202 212 223
Dissociation reaction      198 202
Dissociative equilibrium      247
distribution      see “Partition function”
Distribution function      4 109 312
Distribution function, electron      380 404
Distribution function, n-body (reduced)      110 204 312 324 328
Distribution function, orientational      379
Distribution function, spectral      160 161
Distribution in number of particles      23
Distribution in volume      24
Distribution of charged particles      309
Distribution, binomial      94 399
Distribution, Boltzmann ( — Maxwell)      30 231
Distribution, Bose      29 238
Distribution, canonical      21 46 60 102 360
Distribution, density      131 143
Distribution, electronic      327 352
Distribution, Fermi      29 229 247 265 373
Distribution, Gaussian      21 57 74 375
Distribution, generalized canonical      23 109
Distribution, grand canonical      see “T-$\mu$ distribution”
Distribution, Maxwell      5
Distribution, microcanonical      4—6 63 95 360
Distribution, normal      384
Distribution, Poisson      57 60 74
Distribution, probability, of fluctuations      366
Distribution, T-$\mu$      23 60—63 84 91 247 375
Distribution, T-p      24 46 60 375
Donor      237 246 254 256 257 271 273 283 287
Doppler broading      56 66
Dorub      322
Drift term      364
Drude’s electron theory      245 391
Dulong — Petit’s law      118 136 161 245 253
Duration of a collision, average      362
Dynamical quantity or variable      1 3 111
effective mass      237 243 246 256 372 378
Ehrenfest      216
Eigenvalue      129
Eigenvalue equation      26 397
Eigenvector      111
Einstein      276
Einstein relation      402
Einstein’s model      118 120 134
Elastic energy      395
Elastic waves      120 160
Electric conductivity (tensor)      254 363 371—374 377 381 391—394
Electric Dipole      113 126 379
Electric displacement      115 311 379 407
Electric polarization      113 379 407
Electric, condition of, neutrality      254 270 273 284 310
Electrolyte      324
Electromagnetic vector potential      138 171
Electromagnetic wave      120 122 145 251
Electron      29 85
Electron distribution function      380 404
Electron gas, degenerate      258 259 289 327 371
Electron gas, degenerate, free energy of      269
Electron gas, degenerate, non degenerate      256 327 364 377
Electron gas, degenerate, specific heat of      278 255
Electron spin      257
Electron, background      327
Electron, bound      245
Electron, conduction      243 254 256
Electron, density of      324 339
Electron, free      245
Electron, state density of      251 252 263
Electron, valence      253
Electronic charge      116
Electronic distribution      327 352
Electronic energy band      233 234 254 269
Electronic partition function      198 210
Electronic state      184 202 219 244
Electronic, degeneracy of lowest, state      184 187
Electron’s, nondegenerate      377
energy bands      233 234 254 269
Energy gap      236 243 283
Energy, average      26 40
Energy, microscopic      see “Hamiltonian”
Ensemble      see “Distribution”
Enthalpy      82
entropy      7 18 60 323 382
Entropy of 1-dimensol chain      59 77
Entropy of mixing      188 327 336
Entropy of normal system      11
Entropy, additivity of entropy      17 188
Entropy, generalized definition of      31
Entropy, increase of      17 58 76
1 2 3
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