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Greiner W., Reinhardt J. — Quantum electrodynamics
Greiner W., Reinhardt J. — Quantum electrodynamics



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Название: Quantum electrodynamics

Авторы: Greiner W., Reinhardt J.

Аннотация:

This completely revised and corrected new edition provides several new examples and exercises to enable deeper insight in formalism and application of Quantum electrodynamics. It is a thorough introductory text providing all necessary mathematical tools together with many examples and worked problems. In their presentation of the subject the authors adopt a heuristic approach based on the propagator formalism. The latter is introduced in the first two chapters in both its nonrelativistic and relativistic versions. Subsequently, a large number of scattering and radiation processes involving electrons, positrons, and photons are introduced and their theoretical treatment is presented in great detail. Higher order processes and renormalization are also included. The book concludes with a discussion of two-particle states and the interaction of spinless bosons.


Язык: en

Рубрика: Физика/Общие курсы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2003

Количество страниц: 475

Добавлена в каталог: 09.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\gamma$ matrices      96
Adiabatic approximation      415
Adiabatic switching      13 242
Ampere's law      267
Annihilation amplitude      150
Annihilation processes      43 203ff.
Annihilation processes total cross section of      208ff. 215
Annihilation processes, differential cross section of      206 215
Anomalous magnetic moment      124
Anomaly of the electron      326ff.
Anti-unitary operator      23
asymptotic freedom      297
Auger transition      306
Backward propagation      30 45
Barred operator      89
Bessel function      77 241 389 430
Bessel function asymptotic behaviour of      81 431
Bessel function spherical      390
Bessel's differential equation      388
Bethe logarithm      339
Bethe — Heitler formula      174 188
Bethe — Heitler formula for pair creation      222ff.
Bethe — Salpeter equation      347ff.
Bethe — Salpeter equation for positronium      358ff.
Bethe — Salpeter equation in momentum space      353
Bethe — Salpeter equation in the ladder approximation      352 362
Bethe — Salpeter equation nonretarded approximation of      368
Bhabha scattering      149ff. 154
Bhabha scattering cross section of      152 158
Birefringence of the vacuum      442ff.
Bohr radius      306 392
Born approximation      188 223
Bose statistics      203 460
Boson      449ff.
Boson line      460
Boson spin-0      453
Boundary condition      27 47 56
Boundary condition for particle scattering      454
Box normalization      14 85 441
Breit frame      129
Breit interaction      370 374 377
Breit — Wheeler formula      219 231 246
Breit — Wigner resonance      401 408
Bremsstrahlung      168ff.
Bremsstrahlung static limit of      181ff.
Causality      12
Chain approximation      275 310
Charge cloud      410
Charge conjugation      363
Charge radius of the nucleus      385
Charge renormalization      283 311 318 432
Charged vacuum      382 410
chemical potential      65
Classical radius of the electron      199 210
Collinear collisions      112
Completeness      19
Completeness relation of the polarization vectors      178 213 335
Compton scattering      189ff. 203 461ff.
Compton scattering cross section for      200 463
Compton scattering nonlinear      248
Compton tensor      191 205 461
Compton wavelength      193 301 306 384 436 445
Compton's formula      193
Connected graphs      273
Continuum      381
Continuum normalization      14 450
Continuum wave function      396
Correlation diagram      416
Coulomb barrier      415 420
Coulomb gauge      35 227ff. 266 369
Coulomb potential      83 286 297 333 369 386 415
Coulomb potential Fourier-transformed      84 171 458
Coulomb scattering      83ff. 161ff.
Coulomb scattering of pions      458
Coulomb scattering of positrons      100ff.
Coulomb waves      102 188 223
Coupled-channel equations      419
Coupling constant      301 436
Coupling constant running      294
Critical charge      391
Critical distance      416
Critical field strength      249 384 433
Critical potential      382
Critical wave function      389
Cross section      87 109 259
Crossing symmetry      151 191 204 217 220 248
Current      32 87
Current transition      106
Cutoff momentum      282
Decay law      405 409
Degeneracy factor      260
Delbruck scattering      425
Dielectric function of the vacuum      293
Diffusion equation      21 32
Dipole fit      128
Dirac equation      46 55 386
Dirac equation continuum of      381 391 393
Dirac equation discrete solutions of      393
Dirac equation exact solution      250
Dirac equation in a homogenous magnetic field      440
Dirac equation mass gap      383 436
Dirac equation radial      388ff.
Dirac equation square of      86
Dirac equation square of stationary two-center      415
Dirac equation square of time-dependent two-center      418
Dirac plane waves      51 53 60
Dirac sea      60 381 410 417 436
Dirac's delta function      14 26
Dirac's delta function Fourier representation of      36
Dirac's delta function square of      85
Dirac's hole picture      45 59 436 454
Direct pair production      417
Disconnected graphs      273
dispersion relation      190 355 356
Dispersion relation subtracted      290 293
Displacement field      442
Divergence      273 282
Divergence infrared      312 329ff.
Diving point      388
Dressed state      240
Dual field tensor      426
Effective charge      294
Effective interaction      369 374
effective Lagrangian      425ff. 437
effective mass      240 255
Eigenfunction expansion      18 29
Electro-production of pions      463ff.
Electron scattering      57 83ff.
Electron-electron scattering      141 154
Electron-positron annihilation      203ff. 212ff. 463
Electron-positron bound state      359
Electron-positron pair creation      204 217ff. 237ff. 293 436
Electron-positron scattering      149ff. 154
Electron-positron scattering in fourth order      271
Electron-proton scattering      103ff. 121ff.
Electron-proton scattering higher-orders of      130ff.
Electrostatic potential well      382
Ellipticity      446
Energy shift      307 332ff. 339
Energy shift in hydrogen-like ions      342
Energy splitting      341
Equivalent photons      225ff.
Euler — Maclaurin summation formula      429
Even operators      375
Exchange diagram      133 141 149 272
Excitation of an electron      417
Fano's formalism      395ff.
Fermi distribution      304
Fermi gas      60
Fermi momentum      65
Fermi — Dirac statistics      65
Feynman contour      48ff.
Feynman gauge      266 369
Feynman integral      180
Feynman propagator for Dirac particles      45ff.
Feynman propagator for Fermi Gas      60ff.
Feynman propagator for scalar particles      452ff.
Feynman propagator in coordinate space      73ff.
Feynman propagator in momentum space      46
Feynman propagator integral representation of      277
Feynman propagator nonrelativistic limit of      68
Feynman propagator of the Klein — Gordon field      74
Feynman propagator plane-wave decomposition of      53ff.
Feynman rules      83
Feynman rules for QED      259ff.
Feynman rules for spinless QED      460
Field tensor      426
Fine-structure constant      269
Flux factor      111 116
Foldy — Wouthuysen transformation      375
form factors      121
Form factors dipole fit      128
Form factors infrared-corrected      331
Form factors of the electron      154 320ff. 333
Form factors Sachs      127
Frequency-dependent interaction      371
Furry's theorem      262ff. 308
g factor      326 328
Gamma function      433
Gamow factor      384 437
Gauge invariance      169 176 192 275
Gauge invariance of the polarization tensor      280
Gauge invariance of the scattering amplitude      461
Gaussian integral formula      19 34 278 308
Gaussian units      170 267
Gordon decomposition      123 317 323
Green's function      3ff.
Green's function advanced      4 20
Green's function diffusion      32
Green's function free      7 18ff.
Green's function in momentum representation      25
Green's function interacting      31
Green's function retarded      4 20 37
Green's propagator      3
Ground state      381
Hadron tensor      115 125 226 235
Hadronic corrections      296 328
Hankel function      77
Hartree approximation      413
Heaviside — Lorentz units      267
Heavy ion collisions      415ff.
Heavy photon      275
Heisenberg's scattering matrix      14
Heisenberg's uncertainty relation      423
Helicity      162
Hermitian conjugate      89
Hilbert space      22
Hole theory      58 436 454
Huygens' principle      3 35 82
Hydrogenlike uranium      343
Hyperfine splitting      339
i factors rule for      134ff.
Index of refraction      445
Indistinguishability      132
Induced positron production      417
Inelastic scattering      329
Infrared catastrophe      176 329
Infrared divergence      312 329
Initial-value problem      356
Interaction kernel      349
Interference term      145 148 152
Invariant amplitude      108 260 461
Ionization of an electron      417ff.
Irreducible interaction kernel      350
K-hole production      420
Kirchhoff representation      39
Kirchhoff's integral      35ff.
Klein — Gordon equation      450ff.
Klein — Gordon equation Feynman propagator of      74
Klein — Gordon equation propagator      452ff.
Klein — Nishina formula      198 201 463
Ladder approximation      351
Lagrangian effective      425 437
Lagrangian of strong electric field      435
Lamb shift      287 339ff.
Landau gauge      266
Landau levels      441
Laser field      238
Left-handed electron      162
Lepton tensor      115 125 126 225
Levi — Civita tensor      426
Light-cone singularities      81ff.
Light-cone variables      251
Lippmann — Schwinger equation      11 55
Loop diagram      45 262 458
Lorentz force      268
Lorentz gauge      104 169 266
Low-density limit      65
Low-energy theorem      175
Macdonald function      78 389 430
Magnetic dipole energy      325
Magnetic field strength      442
Magnetic moment anomalous      124 326ff.
Mandelstam variables      154
Mass renormalization      316 336
Mass shell      122 153 202 220 284 311 314 317 320 325
Mass-shell condition      47 465
Maxwell's equations      103 169 425
Maxwell's equations in vacuum      268
Maxwell's equations inhomogeneous      35
Mesons      306 354 446 449
Minimal coupling      451
MKSA system      267
Moller potential      106
Moller scattering      148 154
Moller scattering cross section      158
Momentum cutoff      282
Mott's scattering cross section      118 168
Mott's scattering formula      92
Muon anomalous magnetic moment      328
Muon pair creation      152 233ff.
Muonic atoms      306ff.
Negative-energy solutions      52
Neumann function      77
Nonperturbative pair creation      246 436
Normalization      14 83 171 450 459
Nuclear charge distribution      304 385
Nuclear polarization      307
Nuclear radius      306 385
Occupation probability function      65
Odd operators      375
One-photon vertex      457
Operator barred      89
Operator even      375
Operator odd      375
Optical diffraction      40
Orthogonality condition      70
Orthonormality relations      53 396 418 451
Pair annihilation      43 59 203 204 208 212
Pair creation      43 58 204 232 293
Pair creation bound-free      424
Pair creation in a strong field      435
Pair creation in intense laser fields      237
Pair creation in the field of a nucleus      220ff.
Pair creation nonperturbative      436
Pair creation of muons      152 234
Pair creation of pions      463ff.
Particle-antiparticle gap      420 436
Pauli — Villars regularization      276 313
Permeability of the vacuum      443
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