| Notation |
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| Introduction |
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1 | (1) |
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The uncertainty principle in the relativistic case |
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1 | (4) |
| I. PHOTONS |
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Quantization of the free electromagnetic field |
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5 | (5) |
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10 | (2) |
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12 | (2) |
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The electromagnetic field in quantum theory |
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14 | (2) |
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The angular momentum and parity of the photon |
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16 | (3) |
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Spherical waves of photons |
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19 | (5) |
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The polarization of the photon |
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24 | (5) |
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29 | (4) |
| II. BOSONS |
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The wave equation for particles with spin zero |
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33 | (4) |
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Particles and antiparticles |
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37 | (4) |
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Strictly neutral particles |
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41 | (3) |
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The transformations C, P. and T |
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44 | (6) |
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The wave equation for a particle with spin one |
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50 | (3) |
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The wave equation for particles with higher integral spins |
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53 | (2) |
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Helicity states of a particle |
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55 | (7) |
| III. FERMIONS |
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62 | (2) |
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The relation between spinors and 4-vectors |
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64 | (4) |
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68 | (5) |
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Dirac's equation in the spinor representation |
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73 | (2) |
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The symmetrical form of Dirac's equation |
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75 | (5) |
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Algebra of Dirac matrices |
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80 | (4) |
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84 | (4) |
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88 | (3) |
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The relation between the spin and the statistics |
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91 | (3) |
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Charge conjugation and time reversal of spinors |
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94 | (5) |
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Internal symmetry of particles and antiparticles |
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99 | (2) |
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101 | (5) |
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The polarization density matrix |
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106 | (5) |
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111 | (4) |
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The wave equation for a particle with spin 3/2 |
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115 | (3) |
| IV. PARTICLES IN AN EXTERNAL FIELD |
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Dirac's equation for an electron in an external field |
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118 | (4) |
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Expansion in powers of 1/c |
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122 | (4) |
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Fine structure of levels of the hydrogen atom |
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126 | (2) |
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Motion in a centrally symmetric field |
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128 | (5) |
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Motion in a Coulomb field |
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133 | (7) |
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Scattering in a centrally symmetric field |
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140 | (2) |
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Scattering in the ultra-relativistic case |
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142 | (2) |
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The continuous-spectrum wave functions for scattering in a Coulomb field |
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144 | (4) |
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An electron in the field of an electromagnetic plane wave |
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148 | (3) |
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Motion of spin in an external field |
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151 | (6) |
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Neutron scattering in an electric field |
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157 | (2) |
| V. RADIATION |
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The electromagnetic interaction operator |
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159 | (2) |
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161 | (3) |
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164 | (2) |
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Electric multipole radiation |
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166 | (5) |
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Magnetic multipole radiation |
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171 | (2) |
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Angular distribution and polarization of the radiation |
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173 | (8) |
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Radiation from atoms: the electric type |
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181 | (5) |
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Radiation from atoms: the magnetic type |
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186 | (3) |
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Radiation from atoms: the Zeeman and Stark effects |
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189 | (3) |
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Radiation from atoms: the hydrogen atom |
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192 | (5) |
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Radiation from diatomic molecules: electronic spectra |
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197 | (6) |
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Radiation from diatomic molecules: vibrational and rotational spectra |
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203 | (2) |
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205 | (2) |
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The photoelectric effect: non-relativistic case |
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207 | (5) |
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The photoelectric effect: relativistic case |
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212 | (4) |
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Photodisintegration of the deuteron |
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216 | (5) |
| VI. SCATTERING OF RADIATION |
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221 | (10) |
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Scattering by freely oriented systems |
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231 | (6) |
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237 | (3) |
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Natural width of spectral lines |
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240 | (4) |
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244 | (3) |
| VII. THE SCATTERING MATRIX |
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247 | (5) |
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Reactions involving polarized particles |
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252 | (4) |
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256 | (2) |
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258 | (6) |
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Expansion in partial amplitudes |
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264 | (4) |
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Symmetry of helicity scattering amplitudes |
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268 | (6) |
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274 | (4) |
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278 | (5) |
| VIII. INVARIANT PERTURBATION THEORY |
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The chronological product |
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283 | (3) |
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Feynman diagrams for electron scattering |
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286 | (6) |
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Feynman diagrams for photon scattering |
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292 | (3) |
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295 | (5) |
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300 | (4) |
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General rules of the diagram technique |
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304 | (7) |
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311 | (1) |
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312 | (5) |
| IX. INTERACTION OF ELECTRONS |
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Scattering of an electron in an external field |
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317 | (4) |
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Scattering of electrons and positrons by an electron |
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321 | (9) |
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Ionization losses of fast particles |
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330 | (6) |
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336 | (7) |
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343 | (4) |
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The interaction of atoms at large distances |
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347 | (7) |
| X. INTERACTION OF ELECTRONS WITH PHOTONS |
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Scattering of a photon by an electron |
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354 | (5) |
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Scattering of a photon by an electron. Polarization effects |
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359 | (9) |
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Two-photon annihilation of an electron pair |
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368 | (3) |
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Annihilation of positronium |
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371 | (5) |
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376 | (10) |
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Pair production by a photon in a magnetic field |
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386 | (3) |
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Electron-nucleus bremsstrahlung. The non-relativistic case |
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389 | (11) |
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Electron-nucleus bremsstrahlung. The relativistic case |
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400 | (10) |
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Pair production by a photon in the field of a nucleus |
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410 | (3) |
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Exact theory of pair production in the ultra-relativistic case |
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413 | (6) |
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Exact theory of bremsstrahlung in the ultra-relativistic case |
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419 | (7) |
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Electron-electron bremsstrahlung in the ultra-relativistic case |
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426 | (5) |
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Emission of soft photons in collisions |
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431 | (7) |
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The method of equivalent photons |
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438 | (6) |
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Pair production in collisions between particles |
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444 | (5) |
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Emission of a photon by an electron in the field of a strong electromagnetic wave |
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449 | (7) |
| XI. EXACT PROPAGATORS AND VERTEX PARTS |
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Field operators in the Heisenberg representation |
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456 | (3) |
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The exact photon propagator |
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459 | (6) |
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The self-energy function of the photon |
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465 | (3) |
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The exact electron propagator |
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468 | (4) |
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472 | (4) |
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476 | (2) |
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478 | (3) |
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Electron propagators in an external field |
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481 | (6) |
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Physical conditions for renormalization |
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487 | (6) |
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Analytical properties of photon propagators |
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493 | (3) |
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Regularization of Feynman integrals |
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496 | (5) |
| XII. RADIATIVE CORRECTIONS |
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Calculation of the polarization operator |
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501 | (3) |
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Radiative corrections to Coulomb's law |
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504 | (4) |
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Calculation of the imaginary part of the polarization operator from the Feynman integral |
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508 | (5) |
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Electromagnetic form factors of the electron |
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513 | (4) |
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Calculation of electron form factors |
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517 | (4) |
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Anomalous magnetic moment of the electron |
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521 | (3) |
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Calculation of the mass operator |
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524 | (5) |
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Emission of soft photons with non-zero mass |
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529 | (5) |
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Electron scattering in an external field in the second Born approximation |
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534 | (6) |
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Radiative corrections to electron scattering in an external field |
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540 | (4) |
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Radiative shift of atomic levels |
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544 | (7) |
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Radiative shift of mesic-atom levels |
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551 | (1) |
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The relativistic equation for bound states |
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552 | (7) |
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The double dispersion relation |
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559 | (7) |
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566 | (7) |
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Coherent scattering of a photon in the field of a nucleus |
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573 | (2) |
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Radiative corrections to the electromagnetic field equations |
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575 | (10) |
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Photon splitting in a magnetic field |
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585 | (7) |
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Calculation of integrals over four-dimensional regions |
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592 | (5) |
| XIII. ASYMPTOTIC FORMULAE OF QUANTUM ELECTRODYNAMICS |
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Asymptotic form of the photon propagator for large momenta |
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597 | (4) |
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The relation between unrenormalized and actual charges |
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601 | (2) |
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Asymptotic form of the scattering amplitudes at high energies |
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603 | (5) |
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Separation of the double-logarithmic terms in the vertex operator |
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608 | (6) |
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Double-logarithmic asymptotic form of the vertex operator |
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614 | (2) |
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Double-logarithmic asymptotic form of the electron-muon scattering amplitude |
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616 | (8) |
| XIV. ELECTRODYNAMICS OF HADRONS |
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Electromagnetic form factors of hadrons |
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624 | (5) |
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Electron-hadron scattering |
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629 | (3) |
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The low-energy theorem for bremsstrahlung |
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632 | (3) |
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The low-energy theorem for photon-hadron scattering |
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635 | (3) |
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Multipole moments of hadrons |
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638 | (5) |
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Inelastic electron-hadron scattering |
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643 | (2) |
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Hadron formation from an electron-positron pair |
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645 | (4) |
| Index |
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649 | |
