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ter Haar D. — Elements of Statistical Mechanics
ter Haar D. — Elements of Statistical Mechanics

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Название: Elements of Statistical Mechanics

Автор: ter Haar D.

Аннотация:

Following the Boltzmann-Gibbs approach to statistical mechanics, this new edition of Dr ter Haar's important textbook, Elements of Statistical Mechanics, provides undergraduates and more senior academics with a thorough introduction to the subject. Each chapter is followed by a problem section and detailed bibliography.
The first six chapters of the book provide a thorough introduction to the basic methods of statistical mechanics and indeed the first four may be used as an introductory course in themselves. The last three chapters offer more detail on the equation of state, with special emphasis on the van der Waals gas; the second-quantisation approach to many-body systems, with an examination of two-time temperature-dependent Green functions; phase transitions, including various approximation methods for treating the Ising model, a brief discussion of the exact solution of the two-dimensional square Ising model, and short introductions to renormalisation group methods and the Yang and Lee theory of phase transitions. In the problem section which follows each chapter the reader is asked to complete proofs of basic theory and to apply that theory to various physical situations. Each chapter bibliography includes papers which are of historical interest. A further help to the reader are the solutions to selected problems which appear at the end of the book.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3 edition

Год издания: 1995

Количество страниц: 416

Добавлена в каталог: 13.12.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Gamma$-space      149 226
A priori phases      238
a priori probability      26 60 71 88 92 201 203 209 222 232 237 238 262 361
A transition of helium      122 332
Absolute temperature      102 159 225
Acceptor level      139
Accessible state      93
Action and angle variables      74
Action variable      193
Activity      183
Adiabatic changes      192
Adiabatic invariant      193
Advanced Green function      302
Aharanov — Bohm effect      146
Allowed band      138
Anharmonicity      85
Anisotropic harmonic oscillator      73
Annihilation operators      132 297 305
Anticommutator      300
Antiferromagnetism      313 316 338
Anyons      134
Asymmetric top      55
Attractive fixed point      360
Averages      40 105 154 181 218
Avogrado number      6
Band structure      138
Bare mass      289
Barometer formula      36
Bernoulli numbers      129
Binary alloys      335 338 339 342
Black-body radiation      244 289
Bogolyubov Hamiltonian      299
Bohr-van Leeuwen theorem      56
Boltzmann constant      102
Boltzmann factor      361
Boltzmann gas      112
Boltzmann statistics      89 114 135
Boltzmann transport equation      2 5
Boltzmann weight      92 110
Boltzmann’s      143 172 182 194 207
Bose — Einstein distribution      99
Bose — Einstein statistics      89
Bose — Einstein weight      110
Bosons      59 93
Boyle — Gay — Lussac law      5
Bragg — Williams approximation      342
Brillouin function      84
Brillouin zone      308 309
Brownian motion      302
Canonical coordinates      39
canonical ensemble      156
Canonical equations of motion      39
Canonical grand ensemble      180 6 4
Causal Green function      302
Centre of mass velocity      12
Chaotic motion      205
Chemical constant      113
chemical potential      103 126
Chemical reactions      179
Classical limit      90
Classical statistics      89 114
Cluster      270 325
Cluster expansion      284
Cluster integral      324
Coarse-grained density      207 208 236
Coefficient of probability      153
Coexisting phases      280 317
Collisions      1 4
Commutation relations      296 300 307
Commutator      218 296
Complementarity      147 202 216
Compressibility      138 189
Condensation line      316
Condensation temperature      322
Conduction band      142
Conduction electrons      136 141
Configurational energy      345 346
Configurational integral      269
Configurational partition function      269 274 329
Configurational specific heat      337 338 345 346
Conservation of energy      12 21
Conservation of momentum      12 21
Conservative systems      36 149
Constant of motion      150
Continuous phase transitions      315 350
Convected rate of change      150
Cooperative phenomena      335 338
Coordinate representation      223 260
Coordination number      341
Correlation functions      303 354
correlation length      354
Correlations      162 187 210
Correspondence principle      65 73 85
Corresponding states      285
Coupling of ensembles      5 6 5 11
Creation operators      132 296 300 305
Critical exponents      352
Critical fluctuations      186
Critical indices      352
Critical opalescence      189
Critical phase transitions      315
Critical phenomena      9 8 372
Critical point      315 316
Critical temperature      331 345 350 353 360 368
Curie temperature      309 337
Curie — Weiss law      312
Dalton’s law      29
Darwin — Fowler method      4 5 264
Debye solid      82
Debye specific heat      82
Debye temperature      82
Debye — Hiickel gas      290
Degeneracy      67 71 226 240
Degeneracy parameter      115 117
Degenerate gas      141
Degenerate quantum gas      125
Degenerate relativistic fermion gas      253
Density in phase      151
Density matrix      6 1 218
Density operator      217
Detailed balancing      19 239
Deterministic motion      205
diatomic molecules      39 264
Diffraction effects      59 90 244
Dirac equation      251
Dirac’s constant      63
Dispersive medium      81 83
Dissociation equilibrium      136 264
Distribution function      2 36 172
Distribution of zeros      333
Donor level      139
Double-tangent construction      283
Dressed particle      290
Dulong — Petit law      82 83
Dumbbell molecule      43 77
effective mass      138 289 292
Einstein condensation      119 122 145 267 317 367
Einstein transition probabilities      71 81
Electrical conductivity      54 143
Electrochemical potential      128
Elementary excitation      290
Elementary particles      132
Energy fluctuations      188 231 261
Energy surface      150 175
Energy-shell ensemble      157
Ensemble      150
Ensemble average      354
Ensemble density      153
entropy      25 159 172 177 182 197 225 231 234 262 343
Equation of state      51 160 255 7 1 272 276 320 321 330 333
Equations of motion      39
Equilibrium      104
Equilibrium configuration      278
Equilibrium distribution      18 20 22 60 101
Equilibrium ensemble      235
Equilibrium situation      186 199 202 345
Equipartition      161
Equipartition of energy      40 43 57
Equipartition of kinetic energy      3
Equipartition theorem      53
Ergodic ensemble      156
Ergodic theorem      263
Ergodic theory      200 5 14
Evaporation line      315
Exclusion principle      89 216 239
expectation value      216
Extension in configuration      165 211
Extension in phase      150 269 316 323
Extension in velocity      165 211
External coordinates      156
External parameters      2 6 100 156 158 180 225 228 342
Fermi energy      128
Fermi function      126 130 131
Fermi level      128 131 142 264
Fermi liquid      135
Fermi sea      128 130 131 141
Fermi — Dirac distribution      99
Fermi — Dirac statistics      89
Fermi — Dirac weight      110
Fermi — Pasta — Ulam      205
fermions      59 93
Ferroelectricity      316
Ferromagnetic resonance      312
ferromagnetism      316 335 338
Fine-grained density      207 209 237
First-order transitions      315 332
Fixed points      360 369
Fluctuations      2 158 5 4 177 5 10 222 227 230 241 247
Fokker — Planck equation      302
Forbidden band      138
Fractional quantum Hall effect      135 146
Fractional statistics      135 146
Free energy      51 102 185 197 227 347 349
Freezing in of degrees of freedom      76
Fugacity      183
Gas constant      5
Gas-liquid diagram      315
Gemisch      222
Generalised coordinates      38
Generalised forces      49 158 225
Generalised Maxwell distribution      18 20 21
Generalised momenta      39
Generalised velocities      38
Generic density      181 193 227
Generic phase      180
Gentile statistics      136
Gibbs free energy      103 183 229
Gibbs paradox      198
Gibbs — Helmholtz equation      61 71 160 211
Gluon      132
grand canonical ensemble      302
Grand ensemble      5 9 295
Grand partition function      228 302 329
Grand potential      181 196 228 229 243 248 268 316 318 323 328
Gravitational field      36
Graviton      132
Green function      8 4
Halbzahlige quantisation      63
Hall effect      54 143
Hamiltonian      39 217 291 298
Hamiltonian equations of motion      39
Hard rod gas      333
Hard sphere molecules      11 274 328
harmonic oscillator      52 3 2 212 261 262
Heaviside function      274 302 304
Heisenberg ferromagnet      306 311
Heisenberg operators      303
Heisenberg relations      216
Heisenberg representation      221 259 303
Helmholtz free energy      51 102 159 182 185 211 225 229 350 351
High-temperature superconductivity      135 146
Hole conduction      139
Holes      289
hydrogen molecule      3 5
Identical particles      91
Imperfect gas      1 9 123
Impurity level      141
Impurity semiconductor      139 141 142
Index of probability      153 195 202 234
Induced emission      71
information      232
Information theory      232
Insulator      139
Integral of motion      150
Interaction cloud      290
Interatomic potential      8
Intermediate statistics      135 136
Internal energy      24
Intrinsic semiconductor      139 141
Inverse collision      16
Ionisation equilibrium      264
Irreducible cluster integrals      326
Isentropics      137
Ising ferromagnet      333 9 5 338 361
Ising model      316 333
Isotherm      120 276 316 324 328 331 332
Isotropic harmonic oscillator      65 67
Jordan — Klein matrices      228
Jordan — Wigner matrices      228
kinetic energy      3 37 149 160 268
Kinetic theory      1 200
Klein’s lemma      238 263
Kronecker symbol      53
Kubo formula      260 312
Lack of information      222
Lack of knowledge      210 232
Lagrangian multiplier      22 28 99 202 278 327
Landau diamagnetism      143
Langevin function      45
Langmuir wave      290
Latent heat      315
Lattice gas      335 369
Lattice vibrations      289
Lennard — Jones potential      7 285
Light quanta      89 99 289
Line of centres      12
Line of steepest descent      107
Liouville theorem      17 151 207 218
Liquid drop model of condensation      9 325
liquid helium      244 290
Local order      337
Local rate of change      150
Long-range order      337 340 346 351
Long-range order parameter      340 341 344 346 352 368
Lorentz force      54
Lorentz model of a metal      31 53 143
Macro-situation      91
Macrocanonical ensemble      156 5 3 194 219 6 3 260 302
magnetic susceptibility      212
Magnetisation      212 309 312 317 342 352
Magnons      136 290
Maximum entropy principle      202
Maxwell distribution, Ch      3 37 47
Maxwell equations      68
Maxwell rule      274 282 287
Maxwell-Boltzmann distribution, Ch      2 41 47 57 99 156 241
Maxwellian tail      126
Maxwell’s Demon      232
Mayer’s theory of condensation      9 3
Mean free path      29 54
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