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Авторизация |
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Поиск по указателям |
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Kubo R., Toda M., Hashitsume N. — Statistical physics II. Nonequilibrium statistical mechanics |
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Предметный указатель |
Generalized hydrodynamics 200 201
Gibbs — Duhem relation 174
Golden Rule 89
grand canonical ensemble 223
Grand canonical partition function 228
Graphical summation 246 255
Green — Kubo formula 187
Green's function 158 203 209
Green's function, advanced 206
Green's function, auxiliary 223 224
Green's function, boundary condition for 208 226 231
Green's function, causal 225 226 229 231
Green's function, density 180
Green's function, double-temperature 234 235 257
Green's function, double-time 207 232—234 262
Green's function, electric charge density 260
Green's function, equation of motion for (double-time) Green's function 208 212 214 219 226 255
Green's function, four groups of 203
Green's function, Fourier analysis of temperature Green's function 230
Green's function, Fourier coefficient of temperature Green's function 232 234 246 258
Green's function, Fourier transform of equation of motion for 214
Green's function, Fourier transformation of 232—234
Green's function, many-particle 203
Green's function, multiparticle 234
Green's function, of anticommutator or commutator type 205 206 223
Green's function, of product type 205
Green's function, quadruple-temperature 235
Green's function, quadruple-time 235
Green's function, retarded 204 207 210 217
Green's function, single-particle 215 222 223 233
Green's function, single-particle Green's function for boson field 247
Green's function, single-particle Green's function for free particle 224
Green's function, single-particle temperature Green's function 232 244 246 249 254 258
Green's function, single-particle temperature Green's function for boson field 259
Green's function, temperature 229 231 25
Green's function, two-particle 234
Green's function, two-particle temperature Green's function 253—255
Green's function, unperturbed single-particle 240
Green's method 187
Gross variable 187
gyromagnetic ratio 128
H-function 59—61 96
H-Theorem 59 95
Half-width 127
Hamiltonian equations of motion 153 198
Harmonic analysis 15 19 67 116
harmonic oscillator 68
Harmonic oscillator, average energy of 168
Hartree approximation 213
Heat bath, comment on two systems in contact with 89
Heat bath, system in contact with 62 84
heat capacity 150 157
Heat conduction 143
Heat conductivity tensor 184
heat dissipation 119
Heat dissipation, positivity of 119
Heaviside unit step function 113
Heisenberg equation of motion 98 106 208
Heisenberg operator 87 152
Heisenberg — Kramers dispersion formula 197
Hermitian polynomial 76
Hidden variable 70
Hierarchy of equations 93
Hilbert transformation 138
Hydrodynamic backflow effect 35 201
Hydrodynamic equation, validity of 201
Hydrodynamics, generalized 200
Idealization, levels of 5
Identity, for exponential operators 148
Identity, Kubo 154
Impedance, complex 36
In-phase component 117
Indecomposable set of states 60
Induced current 183
Induced space charge 180
Inner product (of operators) 99
Integral of motion, local 193
Integrodifferential equation 63
Intensity of noise 17
Intensity spectrum 17
Interaction, direction of interaction line 247
Interaction, effective 259
Interaction, line 241
Interaction, magnitude of 82
Interaction, range of 82
Interaction, representation 80
Interaction, representation of interaction by a boson field 247 258
Interference effect 111
Interior line 244
Internal Field 171
Interpolation formula 142
Invariant of motion, quasi-invariant of motion 193
Invariant part (of operator) 193
Ionic polarization 128
Irreversible process, linear 111
Irreversible thermodynamics 110 163
Isothermal susceptibility 128
Ito — McKean interpretation of stochastic differentials 65
Jellium model 172
Kinetic coefficient 111 112 133 163 171 184 186 187
Kinetic equation 199 200 216 263
Kinetic equation, linearized 219
Kinetic method 197
Kinetic method, versus linear response theory 196
Kinetic stage 219
Kinetic viscosity 35
Kirkwood formula, generalization of 157 186
Kirkwood formula, Kirkwood's expression of friction coefficient 105
Kirkwood formula, Kirkwood's expression of static admittance 149
Klimontovich operator 216
Kramers equation 55 84 89 124 130
Kramers — Kronig relations 138 181
Kubo formula 154 170
Kubo formula, of conductivity 155
Kubo identity 154
Landau damping constant 221
Langevin equation 15 20 28 31 37 52 64 68 103 175 185 190
Langevin equation, generalized 31 33 64 66 97 107
Langevin equation, nonlinear 68
Langevin — Debye equation 124
Langmuir plasma frequency 215
Larmor frequency 48 131
Larmor precession 48 131
Laser physics 84
Legendre polynomial 125
Line shape of spectrum 40 45
Line shape of spectrum, Gaussian shape 43
Line shape of spectrum, Lorentzian shape 45 47
Linear relation 111 133 204
Linear relation, Fourier transform of 116
Linear relation, non-Markovian nonlocal 132
Linear relation, of non-Markovian form 112
Linear response formula 199
Linear response theory 103 119 197 199
Linear response theory, kinetic method versus 196
Linear response theory, statistical mechanics of 146
Linearization 197 199
Liouville equation 51 77 86 93 186 198
Liouville equation, in velocity space 52
Liouville equation, quantal 84
Liouville equation, stochastic 51 52
Liouville operator 70 98 151 153
Liouville operator, exponential operator of quantal Liouville operator 151
Liouville operator, quantal 150 190
Local conductivity 180
Local field 177 179
Local field correction 177
Local field potential 176
Local integral of motion 193
Long-time approximation 45 47 49 50
| Lorentzian distribution 45
Macroscopic linearity 198
Macrovariable 185 187
Macrovariable, fluctuation of macrovariables 185
Markovian condition 56
Markovian condition, time range of Markovian description 77
Markovian law 112
Markovian process 7 22 40 47 53 55 62
Markovian process, ergodic 59
Markovian process, induced by binary collisions 81
Markovian process, nonstationary 64
Markovian process, stationary 57 58
Markovian process, uniform 83
Mass flow 195
Mass operator 250 252 253
Mass operator, relationship between mass operator and two-particle Green's function 254
Master equation 61 69 82 83 93
Master equation, derivation of 77
Matsubara formula 242 244
Matsubara — Green's function see “Green's function”
Maxwell — Boltzmann distribution 215 222
Maxwellian distribution of velocity 30 55 67 73 96
Mean field potential 219
Mean free path 14 49 50 75 132
Mean free time 14 106
Mechanical force 110
Memory, duration time of 72
Memory, function 72
Memory, time 72
Method of graphical summation 246
Microscopic linearity 198
Mobility 6 103
Mobility, complex 32 36
Mobility, external 174 177 179
Mobility, external nonlocal mobility tensor 173
Mobility, local mobility (tensor) 175 177
Modeling, stages of 61
Molecular collisions 61
Molecular field approximation 212
moment 10 12 23 24
Moment, formulas 46
Moment, of jump 63
Moment, sum rules 139 140 142
Mori's method 103 175
Motional narrowing 44 47 129
Narrowing condition 84
Natural frequency 20
Natural motion 87
Near-equilibrium process 197
Nonconservative force 196
Nonequilibrium statistical mechanics of dense gases 94
Nonlinear response theory 198
Nonohmic conduction 197
Normal distribution 8 9 12 22
Nozieres — Pines formula 180 210 262
Nuclear magnetic resonance 128
Nyquist formula 36 146
Nyquist theorem 37 170
Onsager reciprocity law 171 184
Onsager reciprocity theorem 163 164
Onsager relation of reciprocity 111
Onsager's postulate 184 186 188
Onsager's postulate, general formulation of 187
Optical response 197
Optical response, second order 198
Ornstein — Uhlenbeck process 28
Oscillator strength, generalized 182
Oscillator strength, sum rule 141
Paramagnetic relaxation 130
Particle line 240
Particle line, closed ring of 248 261
Partition function 10
Partition function, grand canonical 228
path integral 4
Path integral, formulation of quantum mechanics 1
Pauri equation 82
Pauri's exclusion principle 97
Perturbation 147
Perturbation(al) calculation 77 79
Perturbational expansion, basic formula for 228
Perturbational expansion, formula for temperature Green's function 245 257
Perturbational expansion, of 238
Perturbational expansion, of equilibrium density matrix 227
Perturbational expansion, of mass operator 252
Perturbational expansion, of polarization operator 259
Perturbational expansion, of thermodynamic potential 228
Perturbational expansion, of unitary transformation 227
Phase space distribution function 93 151 186
Phenomenological relation 110
Phenomenological theory 109
Plasma frequency 182 221
Plasma oscillation 220
Poisson bracket 151 152
Poisson bracket, physical meaning of 153
Poisson bracket, quantal 150
Poisson distribution 47
Poisson modulation 47
Poisson process 47
Polar molecule 123
Polar molecule, solution of polar molecules 123
Polarization operator 259 260
Polarization, circular 130
Polarization, electric 120 123 124 131 182
Polarization, ionic 128
Power loss 119 120 131 140
Power spectrum 17 19 20 33 41
Power spectrum, nonnegativity of 34
Power spectrum, of noise voltage 36
Power spectrum, white 20 31
Principle of equal weight of microscopic states 196
Probability amplitude 222
probability density 4
Probability distribution, joint 4
Projected process 69
Projected process, non-Markovian property of 69
Projection 69 70 105 175
Projection operator 71 78 85 99 106
Projection, of distribution function 70 186
Projection, of process 109
Propagation velocity 144
Quadrature (out of phase) component 117
Quantized wave function 222
Quantum field theoretical methods in statistical mechanics 203
Quasi-invariant of motion 193
Quasienergy 248
Quasimomentum 248
Quasiparticle 225
Random field 131
Random force 14 15 19 20 31 33 37—39 54 101 103 104 107 185 186
Random force, Gaussian white 55 67
Random force, noncorrelation with velocity 39
Random force, relationship between random and true forces 108
Random force, velocity dependent 65
Random frequency modulation 40 46 48 49 129
Random frequency modulation, characteristic parameter of random frequency modulation (Kubo number) 42 49
Random frequency modulation, magnitude of 42
Random frequency modulation, rate of 42
Random phase approximation 213
Random variable 3
Random variable, bounded 104
Random variable, sum of independent random variables 9 26
Random walk 13
Randomization by linearization 198
Rate of change of perturbation 83
Relaxation (phenomenon) 114
Relaxation (phenomenon), after (sudden) removal of force 113 114
Relaxation (phenomenon), Debye(-type) 121 123
Relaxation (phenomenon), fundamental equation for treating relaxation and fluctuation of quantal systems 88
Relaxation (phenomenon), linear 69
Relaxation (phenomenon), longitudinal 129
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