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| Cohen-Tannoudji C., Dupont-Roc J., Grynberg G. — Photons and atoms: introduction to quantum electrodynamic |
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| Предметный указатель |
Lagrange’s equations for the particles 103 142 151
Lagrange’s equations with complex dynamical variables 87 96 154
Lagrangian (general) (see also “Density Lagrangian” “Functional “Matter
Lagrangian (general) in the Power-Zienau-Woolley picture 287
Lagrangian (general) limination of a redundant dynamical variable 84 154 157
Lagrangian (general) of a discrete system 81 147
Lagrangian (general) of a field 91 95 147
Lagrangian (general) with complex dynamical variables 87 95 154 157
Lagrangian (general) with external fields 142 143 266 271 449
Lagrangian (general), formalism 79 81
Lagrangian (general), linear in velocities 154 157
Lagrangian (general), quivalent Lagrangians 82 92 108 256
Lamb, shift 191
Lamb, transition 327
Least-action principle 79 81
Light intensity 185
Linear response 221 352
Linear susceptibility 221 352
Locality 12 14 15 21 103 291 “Nonlocality”)
Localized systems of charges 281 304 307
Longitudinal vector potential in the Coulomb gauge 16 113
Longitudinal vector potential in the Lorentz gauge 22
Longitudinal vector potential in the Poincare gauge 332
Longitudinal, basis of longitudinal vector functions 53
Longitudinal, contribution of the longitudinal electric field to the energy, momentum and angular momentum 17 19 20
Longitudinal, lectric field 15 64 172 283
Longitudinal, normal variables 374
Longitudinal, photons 384 430
Longitudinal, vector fields 13
Longitudinal, vector potential 112 255
Lorentz equation 104 178 “Subsidiary
Lorentz gauge 364 (see also “Subsidiary condition classical electrodynamics in the Lorentz gauge”)
Lorentz gauge, definition 9
Lorentz gauge, relativistic Q.E.D. in the Lorentz gauge 361 419 424 453
Lorentz subsidiary condition 374
Lorentz subsidiary condition, quantization 33 171
Lorentz subsidiary condition, scalar and longitudinal normal variables 372 374 379
Lorentz subsidiary condition, transverse normal variables 25 29 374
Magnetic dipole moment, interaction 43 288
Magnetic dipole moment, orbital 288
Magnetic dipole moment, spin 44 197 439
Magnetic field 21 24 27 32 42 118 171
Magnetization, current 284
Magnetization, density 42 284 292
Mass, correction 69
Mass, rest mass energy 432
Matter field, Dirac matter field 107 366 408 414 433 451 454
Matter field, quantization 98 161 361 414
Matter field, Schrodinger matter field 157 161 167
Mean value in the indefinite metric 389 396 398 406
Mechanical momentum 20 177 271 290
MODE 24 27 374 “Normal “Expansion”)
Momentum for a particle 20 177
Momentum of a general field 152
Momentum of the Dirac field 451
Momentum of the electromagnetic field in the Lorentz gauge 370 379
Momentum of the particle sfield system 8 20 118 139 174 199
Momentum of the Schrodinger field 158
Momentum of the transverse field 19 27 31 172 193 188
Momentum, contribution of the longitudinal field 19 20
Momentum, momentum and velocity 20 177 271 290
Multiphoton amplitudes (calculations in various representations) 316 325 338 344 348
Multipole, expansion 287
Multipole, waves 45 55 58 60
Negative energy states 413
Negative frequency components 29 184 193 422
Newton — Lorentz equations 7 104 178
Nonlocality 14 15 21 151 locality”)
Nonrelativistic, approximation 103 122 200
Nonrelativistic, limit 424 432 439
Nonresonant processes 325 356
Norm in the indefinite metric 388 445 447
Norm, negative 385
Normal mode 24 27 374 expanion”)
Normal order 185 195 237
Normal variables of the radiation covariant form 17 366
Normal variables of the radiation covariant form for the potentials 9 10 366
Normal variables of the radiation covariant form in real space 7
Normal variables of the radiation covariant form in reciprocal space 12 21
Normal variables of the radiation covariant form, quantum Maxwell equations 179
Normal variables of the radiation, analogy with a wavefunction 30
Normal variables of the radiation, definition and expression 23 25 29 371
Normal variables of the radiation, discretization 31
Normal variables of the radiation, evolution equation 24 26 32 66 219 371 372
Observables (see “Physical variables”)
Operators in the indefinite metric, adjoint 388
Operators in the indefinite metric, eigenvalues and eigenfunctions 389 445
Operators in the indefinite metric, hermitian 388 445
Order, antinormal 237
Order, normal 185 195 238
P-representation 195 206 211 236 251
Parseval — Plancherel identity 11
Particle velocities in the Coulomb gauge 117 177
Particle velocities in the Goppert — Mayer approach 271 306
Particle velocities in the Henneberger approach 277
Particle velocities in the Power — Zienau — Woolley approach 290 295
Particles (see “Conjugate momenta of the particle coordinates Matter “Hamiltonian
Pauli — Fierz — Kramers transformation 278 429
Pauli, exclusion principle 163 413 416
Pauli, Hamiltonian 432
Pauli, matrices 410 437
Periodic boundary conditions 31
Phase of a matter field and gauge invariance 167 449
Phase of an electromagnetic field mode 208 212 243
Photodetection signals 185 209 214
Photodetection signals, single counting signals 184 188 206 213
Photon (see “Annihilation and creation operators” “Bose “Interference “S-matrix States
Physical meaning of operators in the Goppert — Mayer approach 271 306 310
Physical meaning of operators in the Henneberger approach 277 345
Physical meaning of operators in the Power-Zienau-Woolley approach 290 292
Physical meaning of operators, general 259 269
Physical states 384 394 396 405 423 430 443
Planck 1
Poincare gauge 331 333
Poisson, brackets 86
Poisson, quation 10 345
Polarization of the radiation, polarization vector 25 376
Polarization of the radiation, sum over transverse polarizations 36
Polarization, current 284
Polarization, density 281 292 308 329
Position operator (see also “Photon”)
Positive, positive energy slates 412
Positive, positive frequency components 29 184 193 422
Positron 408 413
Potential (see “Longitudinal vector potential” “Scalar “Transverse
Power-Zienau-Woolley transformation 280 286 328 331
Quadrupole electric (momentum and interaction) 288
Quantization (general) 98 162 453
Quantization (general) for a complex field 98 99 161
Quantization (general) for a real field 94 148
Quantization (general), canonical quantization 34 89 258 380
Quantization (general), second quantization 414 439
Quantization of the electromagnetic field in the Power — Zienau — Woolley picture 293
Quantization of the electromagnetic field, canonical quantization in the Coulomb gauge 119 144
Quantization of the electromagnetic field, canonical quantization in the Power — Zienau — Woolley representation 294
Quantization of the electromagnetic field, covariant quantization in the Lorentz gauge 380 383 387 391
Quantization of the electromagnetic field, elementary approach 33
Quantization of the electromagnetic field, methods 33 34
Quantum electrodynamics (Q.E.D.) in the Coulomb gauge 169
Quasi-classical states of the field, graphical representation 242
Quasi-classical states of the field, interferences with 207 209
| Quasi-classical states of the field, production by external sources 217 404
Quasi-classical states of the field, properties 194 447
Quasi-probability density, suited to antinormal order 236 250
Quasi-probability density, suited to normal order 195 206 211 236 250
Radiation emitted by an oscillating dipole 71 352
Radiation Hamiltonian as a function of a and  172 197 241 296 382
Radiation Hamiltonian as a function of a and a 391
Radiation Hamiltonian as a function of the conjugate variables 116 144 290 296 370
Radiation Hamiltonian as a function of the fields 18 312
Radiation Hamiltonian as a function of the normal variables 27 31 378
Radiation Hamiltonian in the Lorentz gauge 370 378 382 391 398
Radiation Hamiltonian, eigenstates of 186
Radiation Hamiltonian, physical meaning 292 312
Radiation reaction 68 74
Radiative damping 71 76
Raman scattering 326
Rayleigh scattering 75 198 326
Reciprocal, half-space 102
Reciprocal, space 11 36
Redundancy of dynamical variables 109 113 154 157 362
Relativistic Q.E.D. in the Coulomb gauge 424 431
Relativistic Q.E.D. in the Lorentz gauge 361 419 424 453
Relativistic, description of classical particles 107
Relativistic, Dirac field 366 408 414 433 451 454
Relativistic, modes 123
Resonant, processes 316 326 349
Resonant, scattering 75
S-matrix, definition 299 317
S-matrix, equivalence in different representations 298 302 321 349 356
S-matrix, for one- and two-photon processes 317 349
Scalar photons 384 392 403 425 430 443 446
Scalar potential in the Coulomb gauge 16 22 67
Scalar potential in the Poincare gauge 333
Scalar potential, absence of a conjugate momentum with the standard Lagrangian 109 362
Scalar potential, antihermiticity in the Lorentz gauge 392
Scalar potential, conjugate momentum in the Lorentz gauge 369
Scalar product in a Hilbert space 387
Scalar product with the indefinite metric 387 395 445
Scattering, cross section 74 346 “Raman “Rayleigh “Thomson “Transition
Scattering, in presence of radiation 344
Scattering, nonrcsonant scattering 356
Scattering, process 326
Scattering, resonant scattering 75
Schrodinger field, Lagrangian and Hamiltonian 157 167
Schrodinger field, quantization 161
Schrodinger, equation 89 157 167 176 261 263
Schrodinger, representation 89 176 219
Schwarzchild 79
Second quantization 414
Selection rules 199 233
Self-energy of the transverse polarization 290 329
Self-energy, coulomb 18 71 201
Self-energy, dipole 312
Sources (classical or external) 24 217 314 370 372 400 418
Spectral density 191
Spin 1
Spin, magnetic moment 44 197 439
Spin, particle 49
Spin, spin-statistics theorem 99
Spin-orbit interaction 440
Spinors, Dirac spinors 409 412 433
Spinors, two-component Pauli spinors 434
Squeezed states 245 246 248 250
Standard Lagrangian, difficulties for the quantization 109
Standard Lagrangian, expression 100
Standard Lagrangian, symmetries 105
State space 175 (see also “Subsidiary condition in the Coulomb gauge”)
State space for scalar photons 392 443
State space in the covariant formuiation 385
States of the radiation field 205 207 “Quasi-classical “Vacuum
States of the radiation field, graphical representation 241
States of the radiation field, single-photon states 187 205 208 210 385
States of the radiation field, squeezed states 243 246 248 250
States of the radiation field, two-photon states 211
Subsidiary condition for the quantum free field 384 386 394
Subsidiary condition in classical electrodynamics 9 10 22 368 370 374 442 443
Subsidiary condition in presence of interaction 406 421 430
Sudden switching-on of the potential 264 336
Symmetries and conservation laws 134
Symmetries of the standard Lagrangian 105
Thomson scattering 75 198
Transformation 85 (see also “Physical variables” “Unitary entries “Hamiltonian” “Lagrangian
Transformation definition 10 113
Transformation definition, electrodynamics in the Coulomb gauge 10 113 121 169 439
Transformation definition, relativistic Q. E. D. in the Coulomb gauge 424 431
Transformation from the Coulomb gauge to the Lorentz gauge (or vice versa) 63 425
Transformation of coordinates 84 88
Transformation of coordinates of dynamical variables 86 260
Transformation of coordinates of quantum representation 260 262
Transformation of the state vector 261 263 268
Transformation, Goppert — Mayer transformation 269 304
Transformation, Henneberger transformation 275 344 349
Transformation, Pauli — Fierz — Kramers transformation 278 429
Transformation, Power — Zienau — Woolley transformation 280 287 328 331
Transition amplitudes, definition and calculation 176 271 316 337 338 346
Transition amplitudes, identity in different pictures 264 269 273 297 316 321 349 356
Transition amplitudes, interference between 213
Transition matrix 300 356
Transition rate 323
Translation operator for the a and a operators 404 425 446
Translation operator for the a and ar operators 195 308
Translation operator for the momentum of a particle 305
Translation operator for the particles 33 118 258
Translation operator for the position of a particle 276
Translation operator in the Henneberger approach 276 345
Translation operator, infinitesimal generators 163 199 383 417
Transverse 25 37 53 “Instantaneous” “Nonlocality” “Photon
Transverse, commutation relation for the transverse field 119 223 230
Transverse, conjugate momentum 115 289
Transverse, delta function 14 36 38 42 64 120 173 231
Transverse, displacement 283 291 295 310
Transverse, electric field 21 24 27 32 64 117 171 287 295 310
Transverse, gauge invariance 17
Transverse, magnetic field 21 24 27 32 42 118 171
Transverse, nergy, momentum and angular momentum of the transverse field 18 19 20 27 47 48 174 312
Transverse, projector onto the subspace of transverse fields 37
Transverse, quations of motion of the transverse field 21
Transverse, summation over transverse polarizations 36
Transverse, vector field 13 50
Transverse, vector potential 17 29 31 119 171 223 294 377 396
Unitary transformation on the Hamiltonian 262 276 304 343
Unitary transformation, associated with a change of Lagrangian 260 262 296
Unitary transformation, associated with a gauge transformation 268 271
VACUUM 186 189 252 385 386 394
Vacuum fluctuations 191 199 279
Vector potential (see “Longitudinal vector potential” “Transverse
Velocity (see “Particle velocities”)
Wave-particle duality 204 215
Wave-particle duality as an elementary excitation of the quantized radiation field 30 187
Wave-particle duality as an elementary excitation of the quantized radiation field, longitudinal and scalar photons 384 392 403 425 430 443 446
Wave-particle duality as an elementary excitation of the quantized radiation field, nonexistence of a position operator 30 50 188
Wave-particle duality as an elementary excitation of the quantized radiation field, photon number operator 187
Wave-particle duality as an elementary excitation of the quantized radiation field, single-photon states 187 205 208 210 385
Wave-particle duality as an elementary excitation of the quantized radiation field, transverse photons 186 385
Wave-particle duality as an elementary excitation of the quantized radiation field, wavefunction in reciprocal space 30
Wavefunction of the photon 30 50
Wavelength scale 202 (see also “Approximation Compton”)
Waves, multipole waves 45 55
Waves, traveling plane waves 28
Woolley (see “Power-Zienau-Woolley transformation”)
Zienau (see “Power-Zienau-Woolley transformation”)
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