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| Milonni P.W. — The quantum vacuum: introduction to quantum electrodynamics |
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| Предметный указатель |
 term 85—86 136
Aberration formula 481
Abraham — Lorentz equation 156 157 167
Absorber theory (Wheeler — Feynman) 162 165
Absorption from broadband field 478
Absorption rate 3 479
action 334
Advanced fields, Dirac theory 161
Advanced fields, Wheeler — Feynman theory 162
Amplified spontaneous emission 199—201
Amplifying medium 193
Anomalous moment 107 108 413
Anomaly frequency 206
Anticommutation relations 306 338 384
Antinormal ordering 131 138 140
Antiparticles and causality 345
Antiparticles and Lorentz invariance 345
argument theorem 225
Atom, two-state model 128—151 495
Atomic stability 81
Auxiliary modes in Barash — Ginzburg theory 238
Auxiliary systems in Barash — Ginzburg theory 236
Average excitation energy 88 91 409
Axial frequency shift 207 208
Axial motion in Penning trap 203
Barash — Ginzburg theory zero-point field energy in lossy media 233—238
Bell’s Theorem 294
Bethe log 93—96 410
Bloch — Siegert shift 190
Bloch’s theorem 67
Bohm — Weinstein theory 168 169
Bohr energy levels 324 327
Bohr magneton 107 206
Bohr quantization condition 81
Bohr radius 57 104 119 418
Bohr radius and retarded van der Waals forces 257
Bose — Einstein statistics 65
Bosons 47
Bosons and fermions 337
Bosons, annihilation and creation operators 61 338 342
Bosons, commutation relations 338
Box normalization 44
Bragg condition 30
Brown — Twiss correlations 66 67 499
Bulk modes 233
Canonical commutation relations, Schroedinger field 336
Casimir and van der Waals forces 217—296
Casimir effect 54 57
Casimir effect and reality of zero-point field 73
Casimir effect for Dirac field 355—360
Casimir effect in atomic spectroscopy 281—286
Casimir effects, vacuum and source field interpretations 250
Casimir force 54 219
Casimir force and radiation pressure 97
Casimir force, as macroscopic manifestation of van der Waals forces 249
Casimir force, finite temperature correction 269
Casimir force, imperfectly conducting plates 228 229
Casimir force, physical interpretation and operator ordering 246 248
Casimir force, source theory 239
Casimir force, spherical conducting shell 287 359
Casimir forces in stochastic electrodynamics 293
Casimir — Polder force 106 107 275
Casimir — Polder interaction 263
Casimir’s electron model 286
Causality and spin statistics 343 352
Cavity QED 186—189 210
Cavity QED and continuum approximation 267
Cavity QED and extinction theorem 260
Cavity QED, generality 188 189
Cavity shift 209 210
Cavity, overdamped 199
Chaos in semiclassical dynamics without RWA 190
Characteristic function, single field mode 67
Charge conservation 361
Charge operator 351
Charge operator, normally ordered 354
Charge renormalization 412 417 424 471
Charge, bare 314 315 328 415 417
Charge, generalized 348
Charge, observed 314 315 328 417
Charge, observed, and vacuum polarization 415 417
Charge, quantum number 348
Charged scalar field 345—348
Chronological product 432 436
Classical oscillator model for an atom 3
Clausius — Mosotti relation 250
Closed loop 458
Coherent state 38
Collapse and revival behavior 193
Compton radius 170
Compton scattering 328 439—444 455 470
Compton scattering, differential scattering cross section 443
Compton wavelength 304 314 401 424
Compton wavelength and vacuum polarization 417
Compton wavelength and zitterbewegung 322 323
Constitutive relation 241
Continuum approximation 242
Continuum approximation and cavity QED 267
Continuum approximation and extinction theorem 267
continuum limit 396
Continuum states and Lamb shift 88
Contraction 440 453
Contravariant components 304
Cosmological constant problem 296
Coulomb gauge 39 47 120 291 361—364
Coulomb gauge and instantaneous Coulomb interactions 385
Coulomb gauge and Lorentz invariance 363
Coulomb potential modification due to vacuum polarization 417
Counter term 403 405 411 471
Covariant components 304
Covariant perturbation theory 381 425
Covariant perturbation theory and old-fashioned perturbation theory 449
Cross section, Mott 436
Cross section, stimulated emission 200
Current density, antisymmetrized 451
Current density, associated with negative-energy states 414
Cutoff 417
Cutoff function in Casimir effect 57 58
Cutoff wavelength 188
Cyclotron frequency 204 206—208
Darwin term 322
De Boer — Hamaker constant 220
Debye length 218
Debye — Waller factor 29 31
Debye — Waller factor, zero-temperature 31
Delay-differential equation 167
Delta function, longitudinal 122 501—503
Delta function, transverse 122 363 501—503
Density matrix 66 151 498
Derjaguin approximation 272 273
Dielectric constant and polarizability 244
Dielectric constant of a metal 275
Differential scattering cross section 435
Dipole approximation see "Electric dipole approximation"
Dirac equation 303—329
Dirac equation and antimatter 328
Dirac equation and electron magnetic moment 413
Dirac equation and fine structure 327 328
Dirac equation and gyromagnetic ratio 320
Dirac equation and Lamb shift 327
Dirac equation for electron in an external field 318 461
Dirac equation, conserved current density 308
Dirac equation, Coulomb potential 325
Dirac equation, electromagnetic coupling 321
Dirac equation, energy spectrum 311
Dirac equation, free particle 308
Dirac equation, Green function 374 461
Dirac equation, hydrogen atom 323
Dirac equation, Lorentz covariance 308
Dirac equation, massless 356
| Dirac equation, negative-energy solutions 310 312
Dirac equation, nonrelativistic approximation 318—322
Dirac equation, nonrelativistic limit 318—320
Dirac equation, plane-wave solutions 308
Dirac equation, single-particle theory 312
Dirac equation, spin 309 318 320
Dirac field 348
Dirac field and hole theory 350
Dirac field, annihilation and creation operators 348
Dirac field, anticommutation relations 348
Dirac field, between two plates 357
Dirac field, Casimir effect 355—360
Dirac field, expansion in plane waves 348
Dirac field, Hamiltonian 354
Dirac field, Lagrangian density 382
Dirac field, massless 357
Dirac field, particles and antiparticles 350
Dirac field, propagator 373
Dirac field, vacuum state 353
Dirac field, zero-point energy 351 353
Dirac particle massless 356
Dirac representation 306
Dirac sea 310 311 314 415
Dirac sea and quantum field theory 351 354
Dirac theory and vacuum field 83
Dirac vacuum 314 328
Dirac vacuum, negative zero-point energy 354
Dirac vacuum, quantum field theory 353 354
Dirac vacuum, stability 353
Dispersion forces 99
Dispersion forces, nonadditivity 254—258
Dispersion interaction long-range 258
Dispersion relations 238
Dispersion, microscopic theory 260
Dressed-state formalism 190
Dulong — Petit law 26
Dyadic Green function 240 241 268
Dyadic Green function, determined by classical Maxwell equations 246
Dyson expansion 430
Earnshaw’s theorem 202
Effective input noise intensity 200
Ehrenfest’s theorem 124
Einstein A coefficient 79 80 135 137
Einstein temperature 26
Einstein — Hopf model 11—14 22 60 67 70 164
Einstein — Hopf model, quantum theory 68—72
Einstein — Stern theory 14 17 29 68 71
Einstein — Stern theory and quantum theory 72
Einstein’s A and B coefficients 20
Einstein’s fluctuation formula 17—20 24 65
Einstein’s fluctuation formula and spontaneous emission 24
Einstein’s fluctuation formula and zero-point energy 24 66
Electric dipole approximation 12 50 51 84 95 119 173 488 496
Electric dipole approximation and magnetic force 120
Electric dipole interaction 493
Electric displacement vector 123
Electric field operator of electric dipole 127
Electric field operator, longitudinal part 127
Electric field operator, transverse part 127
Electromagnetic field tensor 362
Electromagnetic field, action 362
Electromagnetic field, commutation relations Coulomb gauge 363
Electromagnetic field, commutators 58 59
Electromagnetic field, equivalence of a single mode to a harmonic oscillator 40
Electromagnetic field, Hamiltonian 39 117 363
Electromagnetic field, Lagrangian density 363
Electromagnetic field, linear momentum 46
Electromagnetic field, physical states 366 368
Electromagnetic field, propagators 375—377
Electromagnetic field, quantization 38 360
Electromagnetic field, quantization in half-space 186
Electromagnetic field, quantization in plane waves 363
Electromagnetic field, quantization, Coulomb gauge 383
Electromagnetic field, quantization, Lorentz gauge 366
Electromagnetic field, thermal state 268
Electromagnetic field, vacuum state 48
Electromagnetic field, zero-point 41 42
Electromagnetic field, zero-point energy 66 73 128 219 221 232 250 281 286
Electromagnetic field, zero-point energy density 49
Electromagnetic field, zero-point spectrum 60
Electromagnetic field, zero-point spectrum, uniqueness 60
Electron and positron g factors 209
Electron cage 205
Electron line, creation and annihilation of virtual electron 456
Electron line, external 453
Electron line, internal 456
Electron propagator 374 439
Electron self-energy 381 394 444
Electron self-energy and negative-energy states 397 400
Electron self-energy, logarithmic divergence 397 400
Electron, annihilation and creation operators 452
Electron, anomalous moment 202 206
Electron, effective charge density 401
Electron, effective charge distribution 401
Electron, effective size 400—403
Electron, effective spread 397 401
Electron, effective spread due to negativeenergy states 424
Electron, effective spread due to vacuum fluctuations 403
Electron, magnetic moment 107—111
Electron, magnetic moment, radiation reaction and zeropoint field 111
Electron, point particle in QED 168 403
Electron, spin 107
Electron, unlikelihood of structure 403
Electron-positron pair creation 403
Electron-positron pairs 157 160 163 312
Electron-positron pairs, virtual 328
Electron-positron pairs, virtual, and observed charge 328
Emission rate 3
Energy elements 7 8
Energy nonconserving terms 69 146 147 190 323 496
Energy quanta 41
Energy quantization 18
Equipartition theorem 3 4 9 16 26
Equipartition theorem and Planck’s work 16
Essential-states approximation 146 148 190
Euler — Lagrange equation 362
Euler — Maclaurin formula 58 98
Evanescent field 281
Ewald — Oseen Extinction Theorem 188 259 260
Exchange and nonexchange contributions to self-energy 390—394
Exchange scattering 323
Exponential decay 136 147 193
Exponential decay, corrections to 148
External lines 453
Extinction theorem 259 260
Extinction theorem and cavity QED 260
Fermi Golden Rule 431 496
Fermion algebra 338
Fermion algebra, electron annihilation and creation operators 438
Fermion lines 453 459
Fermion lines, internal 458
Fermions, annihilation and creation operators 339 350
Fermions, anticommutation relations 338 419
Feynman approach simplification compared with old-fashioned perturbation theory 471
Feynman diagrams 452—471
Feynman diagrams, and space-time history 467
Feynman diagrams, Compton scattering 440 453
Feynman diagrams, electron-positron pair annihilation 461
Feynman diagrams, lines and vertices 459
Feynman diagrams, momentum-space 443
Feynman diagrams, pair creation 458
Feynman diagrams, pair creation and annihilation 456
Feynman diagrams, positron scattering 458
Feynman diagrams, self-energy 445 448 456
Feynman diagrams, sum over paths 472
Feynman diagrams, two-photon pair annihilation 458
Feynman diagrams, vacuum polarization 459
Feynman gauge 365 366
Feynman propagator 374 439 464 465 469
Feynman propagator and hole theory 465
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