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| Dorlas T.C. — Statistical mechanics, fundamentals and model solutions |
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| Предметный указатель |
 transition 203
1-form 13
Absolute temperature 5 18
Absolute zero 4
Adiabatic 10
Adiabatic demagnetization 108 149
Angular momentum operator 243
Annihilation operator 246 248
Anti-commutator 215 247
Atomic mass unit (amu) 4
Austenite 66
Avogadro's law 4
Avogadro's number 4
Background radiation 78
Baimer lines 99
BCS model 216
BCS model, specific heat of 223
Bethe ansatz 228
big bang 76—79
Binomial distribution 234
Black-body radiation 73—75
Bohr magneton 101 149
Bohr, Niels 94 99
Boltzmann's constant 4 30
Boltzmann's postulate 91 104
Borel — Cantelli lemma 152 236
Bose S.N. 132
Bose — Einstein condensation 132 200—209
Bose — Einstein statistics 101 128
Boson gas 128 200
Bosons 101 128 200
Bound state 94—95
boundary conditions 163 240
Boyle's law 4
Brillouin function 153
Brillouin zone 189
canonical ensemble 136 137
Canonical partition function 136
Carnot efficiency 23
Carnot process 23
Carnot, Sadi 23
Cayley tree 225 230
Celcius scale 4
Central limit theorem 117 159 237
Chandrasekhar limit 194
Characteristic function 237
Charles' law 4
chemical potential 42
Chemistry 71
Classical limit 133
Classical spin system 139
Clausius 16
Clausius—Clapeyron equation 48
Closed convex hull 36
Coefficient of performance 25
Coexistence line 45
Coexistence of phases 45
Commutation relations 205 248
Commutator 243
Compressibility, isothermal 19—20
Compression ratio 25
Concave 27 33
Concavity 1 27
Conditional probability 231
Conduction electrons 160 185
Configuration 163
Constant pressure cycle 86
Constitution of stars 80
Contact, thermal 31
Contact, thermodynamic 31
Contour expansion 170
contours 169
Convex 27 33
Convex body 250
Convex hull 36 181
Convexity 33 249
Cooper pairs 215
Coordinate forms 14
Correlation function 226
Corresponding states, law of 88
Cosmological constant 76
Coulomb force 97
Cramer's theorem 115
Creation operator 246 248
critical exponent 45
Critical phenomena 45
Critical point 45
Critical temperature 45 176
Crystal structure 65
Cumulant generating function 115
Curie temperature 52
Curie — Weiss law 52
Curie's law 51 108
Debye 196
Debye temperature 69 198
Debye — Griineisen parameter 69
Degenerate gas 186
Degenerate perturbation theory 213
Degenerate state 95 243
Demagnetization, adiabatic 108 149
Density of states, electron 186
Diamagnetic 51 211
Diatomic gases, heat capacity for 8
Differential form 13
Differential, exact 12—15
Differentials 12
Dilution refrigerator 60—62 68
Directional derivative 37
Dirichlet boundary conditions 96 241
dispersion relation 196
Distribution function 232
Domain, essential 33
Dry ice 47
Dryness fraction 86
Dulong and Petit, law of 9 199
Effective Hamiltonian 215
Efficiency 22
Eigenvalue 94 239 242
Einstein model 229
Einstein, Albert 76 93 132 196
Einstein-de Sitter model 76
Electrical potential 97
Electromotive force 72
Electron 97 185 191
Electron density of states 186
Electron spin 100
Electrons in metals 185
Empirical temperature 3
Endothermic 71
energy equation 19
Energy level 94
Energy level, excited 97
Energy levels, magnetic 101
Energy spectrum 94
Energy, internal 6 8
Engines, thermal 22
Ensemble 135—138
Enthalpy 41 71
entropy 1 16 28
Epigraph 35
Equal-area construction 50 184
Equation of state 69 133
Equation of state for free gases 133
Equation of state for solids 69—70
Equation of state, Mie — Grueneisen 70
Equation of state, Van der Waals 49
Equation, Clausius—Clapeyron 48
Equation, energy 19
Equation, fundamental 27
Equation, Lane — Emden 82 192 194
| Equation, Schrodinger 239 241
Equilibrium population 127
Equilibrium state 1
Equilibrium, thermodynamic 31
Ergodicity 135
Essential domain 33
Eutectic composition 66
Event 231
Exact differential 12—15
Exchange force 161
Exchange integral 161 162
Exchange terms 214
Excited energy levels 97
Exclusion principle 101 102
Exothermic 71
Expansion coefficient, thermal 19
expectation value 232 242
Exponent, critical 45
Extensive parameter 16
Faraday's constant 72
Fermi energy 187
Fermi level 187
Fermi sphere 189
Fermion gas 132 185
fermions 101 128
Fermi—Dirac statistics 101 128
Ferrite 66
ferromagnetism 51 160
Feynman diagrams 213
First law 6ff
First-order phase transition 47 172
Flory—Huggins theory 224
Fractional distillation 66
Free boundary conditions 163
Free energy density 40
Free energy density, Gibbs 41 47
Free expansion of a gas 32
Free gas 128—134 200—202
Free particles, localized 124—127
Fundamental equation 27ff
Gamov, George 77
Gas constant 4
Gas thermometer 4 5
Gay-Lussac, Joseph 4
General theory of relativity 76
Generalized displacements 30
Generalized forces 30
Gibbs free energy density 41 47
Gibbs function 41
grand canonical ensemble 137
Grand canonical partition function 131 137
Grand canonical potential 42
Griffiths' lemma 146
Ground state 96
gyromagnetic ratio 148
Hahn-Banach theorem 252
Half space 252
Hamiltonian 94 239
Hard-core interaction 180
harmonic oscillator 95 240
heat capacity 8 9
Heat capacity at constant pressure 13
Heat capacity for diatomic gases 8
Heat capacity for monatomic gases 8
Heat differential 12
Heat pump 26
Heat, specific 17 30
Helium 49 60—62 66 87 190 200 203 209
Helium, phase diagram of 67 204
Hermite polynomials 241
Herzsprung — Russell diagram 190
hessian 38
Hilbert space 240
Hoar frost 47
Huang — Yang — Luttinger (HYL) model 206
Hubble's constant 77
Hull, convex 36 181
Hydrogen atom, energy levels of 98 244
Hyperplane 250
Hysteresis 52
Ice model 227
Ideal gas 4 30
Ideal gas law 4 134
Ideal gas, entropy of 30
Independent random variables 232 234
Induction, magnetic 51 107
Inert gas 103
Inflation theory 79
Information theory 109 151
Intensity 73
Intensive parameter 16
Interaction 139 160
Interaction potential 139
Interaction, hard-core 180
Interaction, van der Waals 70
Internal combustion engine 24
Internal energy 6 8
Inversion temperature 60
Iron, phase diagram of 64
Ising model 163
Isothermal process 41
Joint distribution 232
Joule's experiments 7
Joule, James 4 16
Joule—Thomson effect 60
Kelvin, Lord (William Thomson) 4 16
Kirchhoff s Law 71
Lane — Emden equation 82 192 194
Laplace transform 238
Laplace's principle 105
Large deviation principle (LDP) 109
Large deviation theory 109
Laser 114
Latent heat 47
Lattice 162
Lattice gas 179
Law of corresponding states 88
Law of Dulong and Petit 9 199
Law of Large Numbers 232 235
Law, Avogadro's 4
Law, Boyle's 4
Law, Charles' 4
Law, Curie's 51
Law, Curie—Weiss 52
Law, first 6
Law, ideal gas 4 134
Law, Kirchhoff's 71
Law, Planck's radiation 75
Law, Rayleigh-Jeans 75
Law, second 16
Law, Stefan—Boltzmann 73
Law, third 20
Law, Wien's displacement 75
Law, zeroth 3
Ldp 109
Legendre transform 34
Lennard — Jones potential 70
Line of coexistence 45
Linear variety 250
Liquefaction of gases 59—62
Localized free particles 124—127
Localized spins 104
Lyman lines 99
Magnetic energy levels 101
Magnetic induction 51 107
Magnetic work 53
Magnetism 51—54
magnetization 51 165
Main-sequence stars 190
Many-body problem, quantum 205
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