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| Richards P.I. — Manual of Mathematical Physics |
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| Предметный указатель |
Operator, statistical 200
Operator, symmetric 413 415
Operator, time derivative of 126
Operator, unitary 415
Operator, velocity 125
Operator, “del” 295 438
Operator, “nabla” 295 438
Optic angle, optic axes 74
Optical branch 216
Optical resolution 82
Optical rotation 51 74 211
Optics (geometric and interference) 77—83
Optimum filtering theorems 104—105
Orbit-tracing 5
Order (parameter) 217
Order (parameter) of a branch point 318
Order (parameter) of a differential equation 335
Order (parameter) of a group 453
Order (parameter) of a meromorphic function 321
Order (parameter) of a pole 317
Order (parameter) of an entire function 321
Order-disorder phenomena, dynamics of 241
Order-disorder phenomena, equilibrium 216
Ordinary differential equations see Differential equations
Ortho-hydrogen 164
Orthogonal functions 283 414
Orthogonal functions, change of domain 284
Orthogonal functions, extension to many variables 284
Orthogonal functions, series expansions in 284—286 385 409 456
Orthogonal matrix 309
Orthogonal polynomials 283
Orthogonal polynomials, curve fitting with 256
Orthogonal polynomials, generated by a positive function 287
Orthogonal polynomials, in numerical integration 277
Orthogonal subspaces 396
Orthonormal vectors 394
Orthonormalization 395
Oscillator strengths 140
Osmotic pressure 53
P-branch 155
Pair production 181
Pappas’ theorems 267
Parahydrogen 164
Parametric amplifiers 102—104
Parity 134 174
Partial differential equations see Differential equations
Partial fractions, expansions in 253
Partial pressures 47
Partial waves, method of 146—148
Particle in a box 149
Particle in a periodic field 150—153
Particles, mechanics of 3—12
Particles, quantum 149—153
Partition function (sum-over-states) 197 201 416
Partition function (sum-over-states), classical limit 201
Partition function (sum-over-states), convergence of 198
Partition function (sum-over-states), grand 198
Partition function (sum-over-states), momenta, inclusive of 198
Partition function (sum-over-states), of a symmetric operator 416
Partition function (sum-over-states), order-disorder 216
Partition function (sum-over-states), real gases 211—213
Partition function (sum-over-states), rotational 207
Partition function (sum-over-states), solids 215
Partition function (sum-over-states), translational 207
Partition function (sum-over-states), vibrational 208
Partitions of numbers 261
Passive electrical circuit 97
Passivity theorem 97
Pauli, exclusion principle 137
Pauli, magnetic-moment term 174
Pauli, spin matrices 173
Peano — Baker method (matrizant) 345
Peculiar velocity 228
Peltier heat 55
Permeability 64
Permeability of anti-ferromagnetic materials 220
Permeability of ferromagnetic materials 220
Permeability of gases and liquids 209
permutations 260
Perturbation methods, general 338 370 418
Perturbation theory (eigenvalue problems), general formalism 418—4 21
Perturbation, in collision problems 145
Perturbation, in quantum mechanics 136 145
Perturbation, use of group theory (symmetry) in 136 168 456—459
Perturbation, “golden rules” of 145
Pfaff differential equations 352
Phase, -shifts, in scattering 147
Phase, definition (physical chemistry) 44
Phase, diagrams, for a differential equation 343
Phase, diagrams, for a differential equation, in thermodynamics 45
Phase, diagrams, for a differential equation, in thermodynamics, for precipitation 217
Phase, function 78
Phase, rule (Gibbs’) 45
Phase, space 201 249
Phase, transitions 51—53
Phonon 245
Photoconductivity 192
photoelectric effect 179
Photometric units 83
photons 124 129 177
Physical components of a vector 436
Picard’s Theorem 320
Piecewise continuity 382
Pipe, flow in 20 21 190
Planck, constant 124
Planck, quantum hypothesis 124
Planck, radiation law 179 203
Plane waves 70 149
Planimeter, theory of 276
plasma 233
Plasma, diffusion in 234
Plasma, electrical conductivity of 235—237
Plasma, frequency 236
Plasma, radiation from 183 203
Plasma, thermal conductivity of 235
Plasma, waves 236—237
Plastic flow 17 19
Plastics, qualitative structural theory 194
Point masses, mechanics of 3—7
Point-source solutions 339 361—362 366 369
Poiseuille’s law 20
Poisson equation 364
Poisson formula 283
Poisson integrals 364
Poisson ratio 18
Polar decomposition (of a matrix) 310
Polar decomposition (of a matrix), geometric meaning of 400
Polarizability 71
Polarizability of gases and liquids 208—211
Polarization 63
Polarization “of vacuum” 185
Pole (of an analytic function) 317
Polynomial, characteristic (of a matrix) 311
Polynomial, curve-fitting by 256
Polynomial, Hurwitz 255
Polynomial, kernel 284
Polynomial, least-squares 256
Polynomial, orthogonal sets of 283 287
Polynomial, roots of 253—255
Polytropic gas 39
Positive definite (semi-definite) 310
Positron, annihilation 183
Positron, Dirac theory of 174
Positron, lifetime 184
Positronium 184
Potential 4 5
Potential, barrier, surmounting of 149
Potential, box 149
Potential, chemical 44—46 206
Potential, Contact 206
| Potential, Coulomb 155
Potential, electromagnetic 66 83 114
Potential, electromagnetic, microscopic 83
Potential, energy 4 5
Potential, fields 4 5
Potential, flow 23 27
Potential, generalized (dissipative mechanical systems) 10
Potential, Gibbs 34
Potential, harmonic 154
Potential, Krieger 232
Potential, Lennard — Jones 170 213 232
Potential, Morse 155
Potential, non-central 157 158
Potential, periodic 150—153
Potential, scalar 66
Potential, thermodynamic 34
Potential, van der Waals 170
Potential, vector 66
Potential, velocity 23
Power series, (of a complex variable) 316
Power series, radius of convergence of 316
Power series, use in solving differential equations 352
Power series, use in solving differential equations, numerical 338
Power, flow in electromagnetic fields 65 68 71 88
Power, in electric circuits 88
Power, maximum-transfer theorem 96
Power, relations in non-linear circuits 102
Power-broadening (of spectral lines) 143
Power-method (of computing eigenvalues) 405
Poynting (theorem, vector) 65 68 88
Pragm n — Lindeloef theorems 320
Precession of planetary orbits 122
Precipitation, off-equilibrium 241
Precipitation, statistical theory 216
Pressure, coefficient (thermal) 37
Pressure, fluctuations 223
Pressure, of radiation 40 61 129
Pressure, shift (of spectral lines) 143
Pressure, stress-tensor, relation to 14
Primary (colorimetry) 82
Principal axes, in birefringent media 74
Principal axes, moment of inertia 8
Principal, normal 293
Principal, planes (of a lens) 80
Principal, points (of a lens) 80
Principal, value (of an integral) 269
Principle of covariance 120
Principle of equivalence 120
probability 422—433
Probability, conditional 422
Probability, for chain-reactions (or showers) 427
Probability, for recurrent events 428
Probability, in quantum mechanics 125 129 172
Probability, Markoff chains 429—431
Probability-current (quantum) 129 172
Probability-density (quantum) 125 172
Product, direct 312 451
Product, Hermitian 393 402
Product, matrix 304
Product, scalar 291 299 393 402
Product, vector 290 300
Product, “dot” 290 291 299
Projection operator 400 412
Projection operator, characterization of 400
Projective transformation 365
Propagator 138
Proper time 117
Pseudo-scalar 445
Pseudo-vector 445
Purity (colorimetry) 83
Q-branch (band spectra) 155
Quadrature 339
quantum mechanics 124—186
Quantum mechanics, collision problems 144—149
Quantum mechanics, conservation laws in 128
Quantum mechanics, field theory 176—186
Quantum mechanics, high-energy 171—186
Quantum mechanics, postulates and formalism 124—138
Quantum mechanics, radiation 138—144 176—179
Quantum mechanics, special results of 149—165 179—186
Quantum-mechanical, amplifiers 103 140
Quantum-mechanical, distribution function 200
Quartic, roots of 254
Quasi-equilibrium process 31
Quasi-linear partial differential equations 354
Quasi-static process 31
Quotient theorem 439
R-branch (band spectra) 155
Radeau formula 277
Radial distribution function 214 249
Radiation,  erenkov 72
Radiation, black body 40 179 202
Radiation, dipole 70 139
Radiation, electromagnetic, from an antenna 71
Radiation, electromagnetic, quantum theory of 176—179
Radiation, free-free 182
Radiation, interaction with atoms and molecules 138—144
Radiation, length 183
Radiation, Planck’s law of 179 203
Radiation, pressure of 61 129
Radiation, thermal 40 179 203
Radiation, transport of 189 374—377 431—433
Radiation, vector 71
Radius of convergence 316
Radius of curvature 265 293
Radius of curvature, principal 29
Raisbeck’s passivity theorem 97
Raman scattering 140 167 421
Random variables 423
Random-walk problems 431—433
Rank (of a matrix) 305
Rankine — Hugoniot conditions 16 25
Rate, constant (for a reaction) 238
Rate, theory (of chemical reactions) 237
Rational functions 320
Rational functions, curve-fitting with 256
Rational functions, integration of 267
Ray tracing 78 236
Rayleigh — Carson reciprocity theorem 75
Rayleigh, principle of 410 414
Rayleigh, scattering 71
RC (row-column) notation 301
Reaction coordinate 238
Reaction-rate theory 237
Realizability of electric circuits 98
Realizability of sampled-data systems 353
Rearrangement theorems (group theory) 451
Reciprocal coordinate basis 298 401 438
Reciprocal lattice 151
Reciprocity theorem 75 361 362
Recombination reactions 239
Rectification (solid state) 206
Recurrence time 428
Recurrent events 428—429
Recurrent events, certain, uncertain 428
Recurrent events, periodic 428
Red-shift (of light), gravitational 122
Red-shift (of light), nebular 123
Reduced-zone scheme 242
Reducible representation (of a group) 452
Redundancy (information theory) 106
Regular representation (of a group) 453
Relativistic electromagnetic theory 113—116 121
Relativistic mechanics 116—119 120—123
Relativistic quantum theory 171—186
Relativistic thermodynamics 119
Relativity 110—123
Relativity, central fact of 110
Relativity, general (Einstein) 120—123
Relativity, special 110—120
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