NOTATION INTRODUCTION §1. The uncertainty principle in the relativistic case Ⅰ. PHOTONS §2. Quantization of the free electromagnetic field §3. Photons §4. Gauge invariance §5. The electromagnetic field in quantum theory §6. The angular momentum and parity of the photon §7. Spherical waves of photons §8. The polarization of the photon §9. A two-photon system Ⅱ. BOSONS §10. The wave equation for particles with spin zero §11. Particles and antiparticles §12. Strictly neutral particles §13. The transformations C,P and T §14. The wave equation for a particle with spin one §15. The wave equation for particles with higher integral spins §16. Helicity states of a particle Ⅲ. FERMIONS §17. Four-dimensional spinors §18. The relation between spinors and 4-vectors §19. Inversion of spinors §20. Dirac's equation in the spinor representation §21. The symmetrical form of Dirac's equation §22. Algebra of Dirac matrices §23. Plane waves §24. Spherical waves §25. The relation between the spin and the statistics §26. Charge conjugation and time reversal of spinors §27. Internal symmetry of particles and antiparticles §28. Bilinear forms §29. The polarization density matrix §30. Neutrinos §31. The wave equation for a particle with spin 3/2 Ⅳ. PARTICLES IN AN EXTERNAL FIELD §32. Dirac's equation for an electron in an external field §33. Expansion in powers of 1/c §34. Fine structure of levels of the hydrogen atom §35. Motion in a centrally symmetric field §36. Motion in a Coulomb field §37. Scattering in a centrally symmetric field §38. Scattering in the ultra-relativistic case §39. The continuous-spectrum wave functions for scattering in a Coulomb field §40. An electron in the field of an electromagnetic plane wave §41. Motion of spin in an external feld §42. Neutron scattering in an electric field Ⅴ. RADIATION §43. The electromagnetic interaction operator
§44. Emission and absorption §45. Dipole radiation §46. Electric multipole radiation §47. Magnetic multipole radiation §48. Angular distribution and polarization of the radiation §49. Radiation from atoms: the electric type550. Radiation from atoms: the magnetic type §51. Radiation from atoms: the Zeeman and Stark effects §52. Radiation from atoms: the hydrogen atom §53. Radiation from diatomic molecules: electronic spectra §54. Radiation from diatomic molecules: vibrational and rotational spectra §55. Radiation from nuclei §56. The photoelectric effect: non-relativistic case §57. The photoelectric effect: relativistic case §58. Photodisintegration of the deuteron Ⅵ. SCATTERING OF RADIATION §59. The scattering tensor §60. Scattering by freely oriented systems §61. Scattering by molecules §62. Natural width of spectral lines §63. Resonance fluorescence Ⅶ. THE SCATTERING MATRIX §64. The scattering amplitude §65. Reactions involving polarized particles §66. Kinematic invariants §67. Physical regions §68. Expansion in partial amplitudes §69. Symmetry of helicity scattering amplitudes §70. Invariant amplitudes §71. The unitarity condition Ⅷ. INVARIANT PERTURBATION THEORY §72. The chronological product §73. Feynman diagrams for electron scattering §74. Feynman diagrams for photon scattering §75. The electron propagator §76. The photon propagator §77. General rules of the diagram technique §78. Crossing invariance §79. Virtual particles Ⅸ. INTERACTION OF ELECTRONS §80. Scattering of an electron in an external field §81. Scattering of electrons and positrons by an electron §82. Ionization losses of fast particles §83. Breit's equation §84. Positronium §85. The interaction of atoms at large distances Ⅹ. INTERACTION OF ELECTRONS WITH PHOTONS §86. Scattering of a photon by an electron §87. Scattering of a photon by an eiectron. Polarization effects §88. Two-photon annihilation of an electron pair §89. Annihilation of positronium
§90. Synchrotron radiation §91. Pair production by a photon in a magnetic field §92. Electron-nucleus bremsstrahlung. The non-relativistic case §93. Electron-nucleus bremsstrahlung. The relativistic case §94. Pair production by a photon in the field of a nucleus §95. Exact theory of pair production in the ultra-relativistic case §96. Exact theory of bremsstrahlung in the ultra-relativistic case §97. Electron-electron bremsstrahlung in the ultra-relativistic case §98. Emission of soft photons in collisions §99. The method of equivalent photons §100. Pair production in collisions between particles §101. Emission of a photon by an electron in the field of a strong electromagnetic wave ?. EXACT PROPAGATORS AND VERTEX PARTS §102. Field operators in the Heisenberg representation §103. The exact photon propagator §104. The self-energy function of the photon §105. The exact electron propagator §106. Vertex parts §107. Dyson's equations §108. Ward's identity §109. Electron propagators in an external field §110. Physical conditions for renormalization §111. Analytical properties of photon propagators §112. Regularization of Feynman integrals ?. RADIATIVE CORRECTIONS §113. Calculation of the polarization operator §114. Radiative corrections to Coulomb's law §115. Calculation of the imaginary part of the polarization operator from the Feynman integral §116. Electromagnetic form factors of the electron §117. Calculation of electron form factors §118. Anomalous magnetic moment of the electron §119. Calculation of the mass operator §120. Emission of soft photons with non-zero mass §121. Electron scattering in an external field in the second Born approximation §122. Radiative corrections to electron scattering in an external field §123. Radiative shift of atomic levels §124. Radiative shift of mesic-atom levels §125. The relativistic equation for bound states §126. The double dispersion relation §127. Photon-photon scattering §128. Coherent scattering of a photon in the field of a nucleus §129. Radiative corrections to the electromagnetic field equations §130. Photon splitting in a magnetic field §131. Calculation of integrals over four-dimensional regions XIII. ASYMPTOTIC FORMULAE OF QUANTUM ELECTRODYNAMICS §132. Asymptotic form of the photon propagator for large momenta §133. The relation between unrenormalized and actual charges §134. Asymptotic form of the scattering amplitudes at high energies §135. Separation of the double-logarithmic terms in the vertex operator §136. Double-logarithmic asymptotic form of the vertex operator
§137. Double-logarithmic asymptotic form of the electron-muon scattering amplitude XIV. ELECTRODYNAMICS OF HADRONS §138. Electromagnetic form factors of hadrons §139. Electron-hadron scattering §140. The low-energy theorem for bremsstrahlung §141. The low-energy theorem for photon-hadron scattering §142. Multipole moments of hadrons §143. Inelastic electron-hadron scattering §144. Hadron formation from an electron-positron pair INDEX
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