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| Richards P.I. — Manual of Mathematical Physics |
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| Предметный указатель |
Electric, current-density, conventional vs true 63
Electric, dipole moment 63 70
Electric, dipole moment, quantum mechanical 139
Electric, quadrupole moment, quantum mechanical 139
Electrical conductivity 56 64
Electrical conductivity of plasmas 235—237
Electrical conductivity of solids, electronic 242—247
Electrical conductivity of solids, ionic 240
Electrical conductivity of solids, qualitative 152
Electrolytes, Debye theory 221
Electromagnetic forces 61
Electromagnetic momentum 61 177
Electromagnetic potentials 66 84 114
Electromagnetic relaxation time 68
Electromagnetic self-forces 73 185
Electromagnetic stress-tensor 61
Electromagnetic theory 60—109
Electromagnetic theory, fundamental difficulties of 73
Electromagnetic theory, quantum theory and 176—179 185
Electromagnetic theory, relativistic form 113—116 121
Electrons, anomalous magnetic moment of 186
Electrons, charge renormalization for 185
Electrons, configurations (in atoms) 159
Electrons, Dirac theory of 171—176
Electrons, in atoms 155 157 159—161 173 186
Electrons, in molecules 162—164
Electrons, in solids, band theory of 150—153 191—193 242-248
Electrons, in solids, conductivity due to 152 243—247
Electrons, in solids, effective mass of 152
Electrons, in solids, Fermi level (chemical potential) 205 243 247
Electrons, in solids, specific heat of 205
Electrons, in solids, thermionic emission of 206
Electrons, in solids, vapor presure of 205
Electrons, magnetic moment of 127 173 186
Electrons, mass-renormalization 185
Electrons, self-energy of 73 185
Electrons, spin of 127 173
Electrons, “promotion” of (in atoms) 160
Eliminants 255
Elliptic integrals and functions 269—271
Emission, coefficients 139 140 179
Emission, operator 178
Emission, probabilities 139 140
Emission, spontaneous 140 179
Emission, stimulated 140 179
Emission, thermal 203
Emission, thermionic 206
Emission, virtual 145 185
Emissivity 203
Enclosing theorem (eigenvalues) 411 415
Energy, activation 237
Energy, anisotropy (ferromagnetism) 220
Energy, balance, low density gas flow 190
Energy, bands 150—153
Energy, crystal binding 191
Energy, deformation 18
Energy, density 15
Energy, density, electromagnetic 65 177
Energy, density, for thermal radiation 40 203
Energy, elastic 18
Energy, electric circuit 85 88
Energy, electromagnetic 65 177
Energy, equipartition of 202
Energy, equivalence to rest mass 117
Energy, exchange (quantum) 161
Energy, flux, electromagnetic 65
Energy, flux, hydrodynamic 15 229 249
Energy, free (thermodynamic) 34
Energy, internal see Internal energy
Energy, kinetic, definition 4
Energy, lattice 191 215
Energy, operator 126
Energy, potential 4
Energy, relativistic 116
Energy, renormalization of 185
Energy, self 73 185
Energy, total 4 126
Energy, virial theorem and 7 135 214
Ensemble, Canonical 196
Ensemble, grand-canonical 199
Ensemble, microcanonical 195
Enskog, theory of dense gases 232
Enthalpy 35
Enthalpy, fluctuations of 223
Enthalpy, in statistical mechanics 197
Enthalpy, of activation 238
Entire function 320
entropy 32
Entropy, and fluctuations 222
Entropy, electronic 208
Entropy, in communication theory 109
Entropy, in statistical mechanics 197
Entropy, of activation 238
Entropy, of ideal gas 40 207—208
Entropy, of mixtures 47 50 208
Entropy, of thermal radiation 40
Entropy, of van der Waals gas 42
Entropy, rotational 207
Entropy, translational 207
Entropy, vibrational 208
Entropy, zero-point of 50 197 198
Entropy-production 54
Entropy-production in statistical mechanics 224
Envelope, of a family of curves 341 356
Envelope, of a family of surfaces 356
Equation of states 31 36 197 199
Equation of states, Debye 215
Equation of states, in statistical mechanics 197 199
Equation of states, of liquids and gases 214
Equation of states, of real gases 213
Equation of states, Tait (for fluids) 42
Equation of states, van der Waals 41
equidimensional differential equations 335
Equilibrium, statistical mechanics 195—222
Equipartition theorem 202
Equivalence, principle of (relativity) 120
Equivalent representations (of a group) 452
Essential singularity 318
Ettingshausen effect 57
Eucken corrections (internal molecular energy) 232 233 250
Euclid’s algorithm (polynomials) 255
Euler’s theorem for homogeneous functions 266
Euler’s theorem for operators 266
Euler’s theorem, topology of polyhedra 261
Exact differential equation 342
Exchange energy 161
excitons 192
Exclusion principle (Pauli) 137
Expansion coefficient see Compressibility or Thermal
Expansion theorems (series) 385 386 408 409 412 456
Expansion wave 19 27
Expectation see “Mean value”
Extensive parameters (thermodynamic) 31
Eyring chemical reaction rate theory 237
Faraday rotation 75 237
Faraday’s law of induction 62
Feedback 95
Feedback, stability of 97
Fejer sums 409
Fermat’s (optics) 78
Fermat’s principle of least time 78
Fermi — Dirac (statistics, particles) 127 204
Fermi, age theory 376
Fermi, gas 204
Fermi, level (chemical potential) 205 243
Fermi, level (chemical potential), in semi-conductors 247
ferromagnetism 219
Ferromagnetism, anisotropy energy of 220
Ferromagnetism, Bloch walls in 221
Ferromagnetism, domains 220
| Ferromagnetism, Ising model of 219
Figure of revolution, volume and area of 267
Filter, optimum 104—105
Fine-structure, constant 173
Fine-structure, of hydrogen levels 173 186
Finite series, summation of 257—260
Finite-difference equations 353
First law of thermodynamics 30
Fixed-point theorems 262
Flow, Knudsen 189
Flow, of fluids 20—29
Flow, slip 190
Flow, through apertures 189
Fluctuation-dissipation theorem 224
Fluctuations 222—225
Fluctuations, and dissipations 224
Fluctuations, entropy and 222
Fluctuations, of enthalpy, temperature, density and pressure 223
Fluctuations, of internal energy 200 223
Fluctuations, of occupation numbers 196
Fluids, incompressible 22
Fluids, mechanics of 12—29
Fluids, non-viscous 24—28
Fluxes (in irreversible thermodynamics) 54
Focal lengths 79 80
Focal points 80
Fokker — Planck equations 432
Force, body 13
Force, central (in quantum mechanics) 153—158
Force, conservative 4
Force, constraining 5
Force, Coriolis 4
Force, Definition of 3
Force, density 13
Force, drag 23 190
Force, drag, on cylinder 22
Force, drag, on plate 24 190
Force, drag, on sphere 22
Force, electromagnetic 61
Force, electromagnetic, in low-frequency circuits 89
Force, in irreversible thermodynamics 54
Force, in thermodynamics 31
Force, lift 23
Force, non-central 157 158
Force, on obstacles 22—24 190
Force, relativistic 116 120
Force, self 73 185
Force, spin-orbit 157
Force, tensor 158
Force, volume 13
Fourier integral transforms (exponential) 326—328
Fourier integral transforms (exponential), analytic properties of 327
Fourier integral transforms (exponential), approximate inversion of 331
Fourier integral transforms (exponential), inversion formula 327
Fourier integral transforms (exponential), properties 327
Fourier integral transforms (exponential), sine and cosine 329
Fourier integral transforms (exponential), uniqueness of 327
Fourier series 285 409
Franck — Condon principle 163
Fredholm integral equations 381—386
Fredholm series 382
Free energy 34
Free energy, Gibbs’ (“G”) 34 46
Free energy, Helmholtz (“F”) 34
Free energy, in statistical mechanics 197 199
Free energy, of activation 238
Free energy, of dilute solutions 49
Free energy, of electrolyte solutions 222
Free energy, of ideal gas 39—40 206
Free energy, of precipitation 217
Free energy, of radiation 40
Free molecular flow 190
Free particle (quantum mechanics of) 149
Free particle (quantum mechanics of), in Dirac theory 174
Free-free transitions 182
Free-free transitions, radiation from 183
Freezing point, in electrolyte solutions 221
Freezing point, lowering of 52
Frequency, complex 96
Frequency, Debye 215
Frequency, fundamental 166
Fresnel equations, for birefringent media 74
Fresnel equations, for gyromagnetic media 75
Fresnel equations, for reflection and refraction 77
Fugacity 49
Fully ionized gases 233—237
Fully ionized gases, diffusion in 234
Fully ionized gases, electrical conductivity 235—237
Fully ionized gases, thermal conductivity 235
Function spaces 402 412
Functional (operator) 280
Functions of a complex variable 315—321
Functions, generalized (“distributions”) 280—281
Fundamental frequencies (molecular) 166
Galvanomagnetic effects 56—58
Game theory 433—435
Game theory, determined games 433
Gas constant 39
Gas, dense 211—215 232
Gas, ideal see Ideal gas
Gas, ionized 233—237
Gas, Lennard — Jones 213 231
Gas, Lorentz mixture 231
Gas, Maxwell 231
Gas, real, in equilibrium 211—215
Gas, real, in equilibrium, transport properties of 225—237
Gas, rigid sphere 231 233
Gas, van der Waals 41
Gauge transformations 67
Gauss (Gaussian), curvature 444
Gauss (Gaussian), distribution 425
Gauss (Gaussian), noise 108
Gauss (Gaussian), numerical integration 277
Gauss (Gaussian), theorem (integral) 296
Gauss (Gaussian), theorem (integral) for dyadics 300
Gauss (Gaussian), units, conversion to practical units 60
Gauss (Gaussian), units, conversion to practical units, conversion to MKS units 60
Generalized functions (“distributions”) 280—281
Generalized potential 10
Generating functions 353 426
Geodesic, curvature 442
Geodesic, curve 444
Gibbs — Duhem equation 46
Gibbs — Helmholtz equation 36
Gibbs’ free energy, in statistical mechanics 197
Gibbs’ free energy, of activation 238
Gibbs’ free energy, of dilute “solutions” 49
Gibbs’ free energy, of electrolyte solutions 222
Gibbs’ free energy, of ideal gas 40 206—208
Gibbs’ free energy; Gibbs’ potential (“G”) 34
Gibbs’ paradox 47
Gibbs’ paradox, phase rule 45
Gibbs’ paradox, phenomenon 409
Gibbs’ paradox, theorem 47
Glassy state 191
Goedel’s theorem 251
Gordon — Klein equation 171
Goudsmit — Uhlenbeck (spin hypothesis) 127
Gradient 295
Gradient, tensor 299
Graeffe’s root-squaring method 255
Grain-boundary diffusion 240
Grains, metallurgical 44 191 217
grand canonical ensemble 199
Grand partition function (sum-over-states) 198
Gravitation, Newtonian 4
Gravitation, relativistic 120—122
Green’s function (point-source solution) 339 361—362 366 369
Green’s function (point-source solution) for linear (ordinary) differential equations 339
Green’s function (point-source solution) for linear partial differential equations 361—362 366
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