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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
Entropy, probability and      19 51
Entropy, statistical definition of      8 18
Entropy, thermodynamic definition of      8 18
Equation of motion, canonical      2
Equation of state      35 193 257 288
Equation of state of Fermi gas      253 268
Equation of state, Van der Waals      322
Equilibrium condition for two phases      134 153
Equilibrium constant of chemical reaction      202 211 222
Equilibrium, thermal, state      5 15
Equipartition, law of, of energy      112 253 265
Ergodic hypothesis      87
Ergodic surface      2 4 87
Ergodic theorem      6 86 215
Error integral      406
Euler — Maclaurin summation formula      193
Eulerian angles      201
Euler’s summation formula      259 298
Euler’s theorem      113
Exchange integral      303 313
exchange interaction      303 308 313 322
Expansion coefficient, cubic      164
Expectation value, quantum mechanical      3
Fermi momentum      258 289
Fermi particle      29 186 228 257
Fermi potential (level, energy)      228 233 240 243 251—256 260 263 265 273 276 287
Fermi surface      372
Fermi — (Dirac) statistics      28 53 60 62 94 182 228 245
Fermi-Distribution      29 229 247 252 262 265 267 373
Fermi-distribution for holes      273
Fermi-gas, compressibility of      253 268
Fermi-gas, degenerate      231 232 265 267
Fermi-gas, density matrix for      259 295
Fermi-gas, equation of state of      253 268
Fermi-gas, Helmholtz free energy of      229
Fermi-gas, ideal      228 259 266 281 295
Fermi-gas, internal energy of      240
Fermi-gas, relativistic      257—259 288—291
Fermi-gas, specific heat of      241 251—253 262 267
Fermi-gas, thermodynamic functions of      30
Fermion      29 186 228 257
Ferromagnetic crystal      313
Ferromagnetic substance      160 321
ferromagnetism      302 303 307 322 329 332
Ferromagnetism, Heisenberg      332
Flory, P.J.      159 387
Flory’s approximation      327
Fluctuating force      378
Fluctuation      19 361
Fluctuation dissipation theorem      374 416
Fluctuation in energy      41 44 130
Fluctuation in number of solute molecules      375
Fluctuation in particle number      398
Fluctuation in total magnetic moment      62
Fluctuation of coordinates      395
Fluctuation of thermodynamical variables      375
Fluctuation process      374
Fluctuation, probability distribution of      366
Fluctuation, thermal      417
Fluctuation, thermodynamic theory of      361
Folding property      103
Fowler      104
Fowler and Guggenheim      119
Fowler plot      283 341 355 357
Fowler — Darwin method      see “Saddle point method”
Free energy, Gibb’s      47 82 219
Free energy, Helmholtz      27 45 47 49 82
Frenkel, lattice defects of, type      90
Friction constant      376
Fugacity      192
g-factor, Lande’s      150
Gauss theorem      34
Gauss transformation      296
Gaussian distribution      21 57 74 375
Generalized coordinates      2 132
Generalized entropy      31
Generalized force      26
Generating function      72 109
Gibbs      4
Gibbs free energy      47 82 219
Gibbs paradox      188
Gibbs — Duhem relation      386
grand canonical ensemble      see “Distribution”
Gravitational constant      141
Green’s function      397
Groot, S.R. de      374
Grueneisen’s assumption      137 164
H-Theorem      31 51 215
Haar, D. ter      174
Haas, de, van Alphen effect      259 300
Hamiltonian      2 3
Hamiltonian for harmonic oscillators      70 280
Hamiltonian for rotational motion      115
Hamiltonian for system of charged particles      138
Hamiltonian in rotating coordinate system      142
Hamiltonian of a rotator      200
Hamiltonian of electron in magnetic field      138 174
Hamiltonian of spins in electric field      313
Hamiltonian of system of interacting particles      171
harmonic oscillator      57 59 71 78 83 120 123 134 138 251 255 265 279 380
Harmonic oscillator, energy levels of      36
Harmonic oscillator, Hamiltonian      70 280
Harmonic oscillator, number of states of      59 61 78
Harmonic oscillator, partition function for a single      123
Harmonic oscillator, state density of class      137 168
Harmonic oscillators, system of, average energy of      38
Harmonic oscillators, system of, density matrix of      139
Harmonic oscillators, system of, energy of      38
Harmonic oscillators, system of, entropy of      37 81
Harmonic oscillators, system of, Helmholtz free energy of      81 117
Harmonic oscillators, system of, partition function of      59 80 116
Harmonic oscillators, system of, specific heat of      218
Hartree — Fock approximation      303
Heat bath      21 23 62 132
heat capacity      see “Specific heat”
Heat capacity of crystal      136
Heat capacity of solids      136
Heat conductivity      362 369 370 374 378 379 389 403 410 413 415
Heat flux      370 374
Heat radiation      123 132 136 146
Heat source      84
Heisenberg ferromagnetism      322
Heisenberg model      313
Helmholtz free energy      27 45 47 49
Hemmer, P.      322
Hermite polynomial      138
Heteronuclear molecules      185
Hildebrand      337
hole      91 234 243 273
Homonuclear molecule      185
Hooke’s law      78
Hopf      87
Hove, L. van      216
Hydrogen      223 (see also “Para-hydrogen” “Ortho-hydrogen”)
Ideal gas      4 35 46 57 59—61 82 83 103 131 137
Ideal gas, chemical potential of      48
Ideal gas, entropy of      35 48
Ideal gas, Gibbs’ free energy of      47
Ideal gas, Helmholtz free energy of      27 45 47
Ideal gas, mixtures of ideal gases      188
Ideal mixture, entropy of      305
Ideal quantum gas      51 (see also “Bose-gas” “Fermi-gas”)
Ideal quantum gas, (grand) partition function of      54
Ideal quantum gas, entropy of      51
Ideal quantum gas, Helmholtz free energy of      51
Imperfect crystal      90 61
Imperfect crystal, entropy of      91
Imperfection of Schottky type      61
Impurity      377
Impurity atom      353
Impurity semiconductor      236
Indistinguishability of identical particles      9 82 182
Inertia      see “Moment of inertia”
Integral kernel      397
Internal partition function      184 206
Interstitial atoms      90
Interstitial sites      61
Intrinsic semiconductor      236 243 286
Inversion symmetry      338
Ionic charge      324
Ionic interactions      310
Ionic solution      310 318
Irreducible cluster integral      193 205 227
Irreducible diagram      227
Irreversible process      361 373 416 417
Ising model      303 324 326
Ising spin      303 321 327 328
Ising spin system      328
Ising spin system, energy of      326 349
Ising spin system, free energy of      326 349
Ising spin system, partition function of      355
Ising spin system, specific heat of      322 329
Isotherm, Langmuir’s      93
Isothermal compressibility      165 377 399
Jacobian      383
Joule — Thomson coefficient      204 223
Joule — Thomson effect      222
Kac, M.      322
Keesom force      170
Kernal, integral      397
Khinchin      87 106 174
Kinetic coefficients      374 (see also “Transport-coefficients”)
Kinetic theory of gases      5 51 60 361
Kirkwood’s approximation      321 328
Knudsen (gas) region      388
Koopman      87
Kronecker’s delta      410
Kubo      402 416
Kubo’s formula      415
Lagrange’s undetermined multipliers      20 86 95
Landau      299
Landau level      298
Langevin Debije formula      266 287
Langevin equation      378
Langevin’s function      126 158
Langmuir’s isotherm      93
Laplace transform      172
Laplace transform, inverse      104 259
Lattice      161 307 349
Lattice defects of Frenkel type      90
Lattice imperfection of Schottki type      61
Lattice model      337
Lattice points      90
Lattice site      61 306
Lattice vibration      160 265 302
Lattice, crystal      160
Lattice, regular (ordered, superlattice)      307 377
Lattice, sub      307 316 322
Legendre transformation      25 28 85 107 127
Lennard-Jones potential      189
Linearization of Boltzmann’s equation      366
Liouville equation      412
Liouville theorem      87
liquid helium      238 239 309
Local equilibrium      410
Local flow velocity      380
Local number density      379
Local temperature      380
London      250
Long range      309
Long range order      321 323 327 347 355
Lorentz      245
Lorentz force      255
Lorentz’s flow      404
Lorentz’s number      404
Loschmidt      215
Macroscopic state      7
magnetic moment      133 263 304
Magnetic moment of spin      252 276 303
magnetic quantum number      133 149
Magnetic quantum state      150
magnetic susceptibility      133 138 256 257 259 299 325 346
magnetization      133 149 171 303 309 322 332
Magnetization waves      160
Magnetization, saturation      305 332
Magnetization, spontaneous      304 307 325 331 343
Many body problem      303
Masers      148
Mass action, law of      247 357
Maximum term method      106
Maxwell      51
Maxwell distribution      5 31
Maxwell relation      381 382
Maxwell’s Demon      13
Maxwell’s equation      369
Mayer, J.E. and M.G.      193 227
Mayer, J.E. f(r) function      190
Mazur, P.      374
Mean free (flight) time      362 366 367 369 380 413
Mean free path      366 370 379 389 393
Mean number of collisions      368
Mean square displacement      378
microcanonical ensemble      see “Distribution”
Microscopic state      1
Mie — Gruneisen’s equation      137
Mobility      402
Molecular chaos      363
Molecular crystal      338
Molecular field approximation      302 306 313 314 321—328 332 356 357
Molecular field constant      303 314
Molecular interaction      189
Moment of inertia (tensor)      185 200 202 219 224 376
Moment, magnetic      133 263 304
Moment, magnetic, of spin      252 276 303
Monatomic molecules      184
Mot-screening constant      353
Mulholland’s formula      194
Nearest neighbor interaction      323
Nearest neighbor, number of      304 327 328 335
Nearly ideal gas, thermodynamic properties of      205 226
Neel temperature      309 325 344
Neumann      87
Neutron      29 85
Neutron diffraction      307 309
Non-degeneracy      see “Degeneracy”
Non-degenerate      see “Degenerate”
Normal distribution      384
Normal modes      116 120 136 160 163 251 302
Normal system      10 147
Normal system, entropy of      11
Normal system, not      39 99
Normal vibrations      116 120 136 160 163 251 302
Nuclear spin      184 186 201 208 219 221
Nuclear spin, degeneracy of, states      184 187 221
Number density      326 341 365
Number density, local      379
Number of neighboring spins      304 327 328 335
Nyquist’s equation      416
Occupation number      29
Occupation number, average      29 228
Onsager      322
Onsager’s reciprocity relations      373 404
Order parameter      307
Order-disorder transition      307 309 328 335
Order-disorder transition of alloys      307
Ordering, perfect      308
Orientational distribution function      379
Ortho-deuterium      187
Ortho-hydrogen      187 201 208 210
Orthogonal transformation      177
1 2 3
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