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| Richards P.I. — Manual of Mathematical Physics |
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| Предметный указатель |
Relaxation time, electron collisions 243
Relaxation time, of a dielectric 68
Relaxation time, order disorder 242
Removable singularity 318
Renormalization (quantum field theory) 185
Representation (of a group) 452—456
Representation (of a group), axial vector 168
Representation (of a group), direct-product 454
Representation (of a group), equivalence of 452
Representation (of a group), identity 453
Representation (of a group), reducible (irreducible) 452
Representation (of a group), regular 453
Representation (of a group), theory 452—456
Representation (of a group), unitary 452
Representation (of a group), vector 167
Representation (of a group), “belonging to” 452 456
Repulsion, virtual of Fermi — Dirac particles 206
Residual resistivity 245
Residue (at a pole) 318
Resistance (of an electric circuit) 86
Resistance (of an electric circuit), estimation of 89
resistivity see Electrical conductivity
Resolution, instrumental, effect of 334
Resolution, optical 82
Resonance, escape probability 377
Resonance, quantum mechanical 161
Resonances of a cavity 367 408
Rest mass 116
Rest mass, equivalence to energy 117
Reversibility 31
Reversible engine 33
Reversible process 31
Reynolds’ number 21
Rheology (science of “plastic flow”) 17 19
Riccati differential equation 342
Richardson equation 206
Richards’ function 98
Riemann conformal mapping theorem 318
Riemann function 27
Riemann geometry 443
Riemann method of characteristics 27 358
Riemann space 443
Riemann “P” differential equation 350
Riemann — Christoffel curvature tensor 443
Riez, numerical integration formula 277
Righi — Leduc effect 57
Rigid bodies, in relativity 118
Rigid bodies, mechanics of 7—9
Rigid bodies, motions of 293
Rigid bodies, with fixed axis 9
Rigid bodies, with fixed point 8
Rigid motions 293
Rigid-sphere molecules 231 233
Roots of polynomials 253—255
Rotation of coordinates 292 449
Rotation of plane of polarization 75 211 237
Rotatory power, optical 211
Routh’s criterion 255
Russell — Saunders coupling 160
Sackur — Tetrode equation 207
Saddle-point method of integration 274
Saha equation 51
Sampled-data systems 353
Saturation (colorimetry) 83
scalar 443
Scalar, product, of dyadics 299
Scalar, product, of functions 402
Scalar, product, of vectors 290 291 393
Scalar, pseudo 445
Scale transformation, physics notation and 265
Scattering, amplitude 147 481
Scattering, bremsstrahlung 182
Scattering, center-of-mass vs laboratory 146
Scattering, coherent and incoherent 148
Scattering, Compton 180
Scattering, Coulomb 156
Scattering, electrons in solids 245
Scattering, indistinguishable particles in 147
Scattering, length 147
Scattering, molecular 71
Scattering, multiple 374—377 431—433
Scattering, pair production 181
Scattering, phase shifts in 147
Scattering, photoelectric effect 179
Scattering, Raman 140 167 421
Scattering, Rayleigh 71
Schloemilch integral equation 378
Schmidt orthogonalizing process 283 395
Schmidt orthogonalizing process, biorthogonalization 401
Schroedinger wave equation 126
Schroedinger wave equation, in matrix notation 137
Schwartz theory of “distributions” 280—281
Schwarz — Christoffel transformation 318
Schwarz, inequality 273 283 394
Schwarz, Lemma 319
Schwarz, Reflection Principle 317
Schwarzchild solution (relativity) 122
Screw-motion, equivalence to general rigid motion 294
Second law of thermodynamics 33 195 197
Second quantization 184
Second-order transition 52
Secular equation 419
Selection rules 141 164 167
Self energy 185
Self-adjoint operator 368 415
Semi-conductors 152 246—248
Semi-conductors, diffusion (of electrons and holes) in 248
Semi-conductors, electron mobility in 247
Semi-conductors, electronic conductivity 247
Semi-conductors, Fermi level in 247
Semi-conductors, thermal conductivity 248
Semi-permeable membrane 47 53
Separable (first-order differential equation) 341
Separation of variables 360
Series, asymptotic 282
Series, finite 257—260
Series, finite, involving binomial coefficients 259
Series, Fourier 285
Series, infinite 282—286
Series, of orthogonal functions 283—286
Series, of “moments” 286—289
Series, power 316
Series, theorems for 385 386 408 409 412 456
Serret — Frenet formulas 293
Shannon channel capacity theorem 109
Shannon theory of information 105
shear modulus 18
Shear tensor 17
Shear waves 19
Shift of atomic levels (Lamb shift) 186
Shift of atomic levels (Lamb shift) due to pressure 143
Shock wave 16
Shock wave, conditions 16 25
Shock wave, weak 28
Short-range order (parameter) 217
Signal-flow graphs 312—314
Similarity solutions (fluid mechanics) 373
Simple waves 27 373
Simpson’s rule 276
Simultaneity, lack of in relativity 116
Single - valued (function) 316
Singular solutions, ordinary differential equations 341
Singular solutions, partial differential equations 354 355
Singularity (of an analytic function) 316
Singularity (of an analytic function), “essential” 318
Sinusoidal potential (quantum mechanics of) 150
Six-vector 445
Skin, depth 69 77
Skin, effect, anomalous 77
Slater sum 200
| Slip flow 190
Slip plane 194
Slowing down density 377
Small vibrations 11
Snell’s law 76
Solids, band theory of 150—153 191—194 242-248
Solids, compressibility 191 215
Solids, diffusion in 240
Solids, electrical conductivity 240 242—247
Solids, equation of state (Debye) 215
Solids, ferromagnetism 219
Solids, imperfections in 192 218
Solids, impurity-hardening 194
Solids, interstitials (equilibrium number) 218
Solids, ionic conductivity 240
Solids, lattice energy 191
Solids, order-disorder phenomena, equilibrium 216
Solids, order-disorder phenomena, off-equilibrium, kinetics of 241
Solids, semi-conducting 152 246—248
Solids, specific heat (Debye) 216
Solids, thermal conductivity, electronic 244
Solids, thermal conductivity, lattice 248
Solids, vacancies (equilibrium number) 218
Solids, vibrational energy 215
Solids, work-hardening 194
Solids, yield stress 194
Solutions, of electrolytes (Debye theory) 221
Solutions, thermodynamics of 48
Soret effect 59
Space, contraction (relativity) 111
Space, curves, differential geometry of 293
Space, function 402
Space, Hilbert 403 412
Space, n-dimensional 300
Space, phase 201 249
Space, Riemann 443
Space, unitary 393—406
Span (of vectors) 394
Species (of molecular vibrational states) 166
Specific heats 37 38
Specific heats, electron gas (degenerate) 205
Specific heats, ideal gas 39—40 187 207
Specific heats, kinetic theory of 187
Specific heats, ordering (in ordered alloys) 218
Specific heats, precipitation 217
Specific heats, rotational 207
Specific heats, solids 216—218
Specific heats, translational 207
Specific heats, vibrational 208
Spectral line, width, shape, shift 142—144
Spectroscopic levels 160
Spectroscopic notation 159 160 164
Spectroscopic notation for diatomic molecules 164
Spectroscopic terms 160
Spectrum, infrared 155 163 166—170 216
Spectrum, of an operator, point and continuous 135 411
Spherical waves, electromagnetic 70
Spin (quantum mechanical) 124 132 418
Spin (quantum mechanical), -orbit interaction 127 157 173
Spin (quantum mechanical), -spin interaction 128 157
Spin (quantum mechanical), and coordinate rotations 133
Spin (quantum mechanical), and “statistics” 127
Spin (quantum mechanical), eigenfunctions 133 134 418
Spin (quantum mechanical), in Dirac theory 173
Spin (quantum mechanical), matrices (Pauli) 173
Spin (quantum mechanical), of fundamental particles 174
Spin (quantum mechanical), operators 127 132 418
Spin (quantum mechanical), waves 220
Spontaneous emission 140 179
Spur (trace) 138 312
Square roots, computation on a desk computer 253
Stability, of electric circuits 97
Stability, of feedback circuits 95 97
Stability, of linear differential equations 341
Stability, of numerical computations 371 404
Stable states (quantum mechanics) 135
Standard deviation 424
Stark effect 157
States, quantum mechanical 135
States, quantum mechanical, acceptor 192
States, quantum mechanical, density of 145
States, quantum mechanical, donor 192
States, quantum mechanical, surface 192
Stationary states 135
Stationary value of an integral 389
Statistical matrix 200
Statistical mechanics 195—250
Statistical operator 200
Statistical physics 187—250
Statistical physics, in thermal equilibrium 195—222
Statistical physics, off equilibrium 222—250
Statistical physics, simple, kinetic 187—195
Statistical weight (for an energy level) 197
Statistics, Bose — Einstein 127
Statistics, Fermi — Dirac 127
Steepest descent (method of integration) 274
Stefan — Boltzmann constant 40 202
Stereoisomers 51
Stieltjes integral 278
Stieltjes transform 328
Stimulated emission 139 179
Stirling’s approximation 218
Stochastic (random) variables 423
Stokes’ law 22
Stokes’ Theorem 297
Strain ellipsoid 17
Strain tensor 17
Strategy, mixed 434
Strategy, pure 433
Stress ellipsoid 17
Stress tensor, electromagnetic c 61 115
Stress tensor, mechanical 14
Stress tensor, relation to pressure 14
Stress tensor, statistical theory of, gases 228 249
Stress tensor, statistical theory of, liquids 249
Stress-energy tensor (relativity) 118
Sturm — Liouville theory 408
Subgroup 451
SubMatrix 305
Subspace (of unitary space) 394
Subspace (of unitary space), decomposition into 395
Sum rules 141
Sum-over-states (function) see Partition function
Summation, convention 301 436
Summation, for finite series 260
Summation, methods, for infinite series 282—283
Super-radiant states 142
Superposition 360
Superposition, approximation (theory of liquids) 214
Surface diffusion 240
Surface integral 296
Surface of figure of revolution 267
Surface state 192
Surface tension 28 43
Surmounting of a potential barrier 149
Susceptibility (electric and magnetic) 208
Susceptibility (electric and magnetic), anti-ferromagnetic 220
Susceptibility (electric and magnetic), ferromagnetic 220
Susceptibility (electric and magnetic), of gases and liquids 209—211
Sylvester’s theorem 311
Symmetric matrix 309
Symmetric part 309
Symmetric product 309
Symmetric top 164
Symmetry coordinates 168
Symmetry group 166 456
Symmetry requirements (quantum wavefunctions) 127
Symmetry type (molecular states) 166
Symmetry-adapted functions 168 458—459
Synthesis of electric circuits 98—100
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