| Preface | p. v |
| Generally used Notation | p. xiii |
| Introduction | p. 1 |
| Books | p. 1 |
| Subject Matter | p. 1 |
| Detailed Program | p. 2 |
| One-Particle Theories | p. 3 |
| The Dirac Theory | p. 5 |
| The Form of the Dirac Equation | p. 5 |
| Lorentz Invariance of the Dirac Equation | p. 7 |
| To Find the S | p. 9 |
| The Covariant Notation | p. 11 |
| Conservation Laws. Existence of Spin | p. 12 |
| Elementary Solutions | p. 13 |
| The Hole Theory | p. 14 |
| Positron States | p. 15 |
| Electromagnetic Properties of the Electron | p. 16 |
| The Hydrogen Atom | p. 18 |
| Solution of Radial Equation | p. 20 |
| Behaviour of an Electron in a Non-Relativistic Approximation | p. 23 |
| Summary of Matrices in the Dirac Theory in Our Notation | p. 26 |
| Summary of Matrices in the Dirac Theory in the Feynman Notation | p. 28 |
| Scattering Problems and Born Approximation | p. 31 |
| General Discussion | p. 31 |
| Projection Operators | p. 32 |
| Calculation of Traces | p. 34 |
| Scattering of Two Electrons in Born Approximation. The Moller Formula | p. 39 |
| Relation of Cross-sections to Transition Amplitudes | p. 41 |
| Results for Moller Scattering | p. 43 |
| Note on the Treatment of Exchange Effects | p. 44 |
| Relativistic Treatment of Several Particles | p. 45 |
| Field Theory | p. 47 |
| Classical Relativistic Field Theory | p. 47 |
| Quantum Relativistic Field Theory | p. 51 |
| The Feynman Method of Quantization | p. 52 |
| The Schwinger Action Principle | p. 53 |
| The Field Equations | p. 55 |
| The Schrodinger Equation for the State-function | p. 55 |
| Operator Form of the Schwinger Principle | p. 56 |
| The Canonical Commutation Laws | p. 57 |
| The Heisenberg Equation of Motion for the Operators | p. 58 |
| General Covariant Commutation Laws | p. 58 |
| Anticommuting Fields | p. 59 |
| Examples of Quantized Field Theories | p. 61 |
| The Maxwell Field | p. 61 |
| Momentum Representations | p. 63 |
| Fourier Analysis of Operators | p. 65 |
| Emission and Absorption Operators | p. 65 |
| Gauge-Invariance of the Theory | p. 67 |
| The Vacuum State | p. 68 |
| The Gupta-Bleuler Method | p. 70 |
| Example: Spontaneous Emission of Radiation | p. 71 |
| The Hamiltonian Operator | p. 74 |
| Fluctuations of the Fields | p. 75 |
| Fluctuation of Position of an Electron in a Quantized Electromagnetic Field. The Lamb Shift | p. 77 |
| Theory of Line Shift and Line Width | p. 79 |
| The Interaction Representation | p. 80 |
| The Application of the Interaction Representation to the Theory of Line-Shift and Line-Width | p. 82 |
| Calculation of Line-Shift, Non-Relativistic Theory | p. 87 |
| The Idea of Mass Renormalization | p. 88 |
| Field Theory of the Dirac Electron, Without Interaction | p. 91 |
| Covariant Commutation Rules | p. 92 |
| Momentum Representations | p. 94 |
| Fourier Analysis of Operators | p. 94 |
| Emission and Absorption Operators | p. 95 |
| Charge-Symmetrical Representation | p. 96 |
| The Hamiltonian | p. 97 |
| Failure of Theory with Commuting Fields | p. 98 |
| The Exclusion Principle | p. 98 |
| The Vacuum State | p. 99 |
| Field Theory of Dirac Electron in External Field | p. 100 |
| Covariant Commutation Rules | p. 101 |
| The Hamiltonian | p. 104 |
| Antisymmetry of the States | p. 105 |
| Polarization of the Vacuum | p. 106 |
| Calculation of Momentum Integrals | p. 111 |
| Physical Meaning of the Vacuum Polarization | p. 115 |
| Vacuum Polarization for Slowly Varying Weak Fields. The Uehling Effect | p. 119 |
| Field Theory of Dirac and Maxwell Fields in Interaction | p. 120 |
| The Complete Relativistic Quantum Electrodynamics | p. 120 |
| Free Interaction Representation | p. 122 |
| Free Particle Scattering Problems | p. 125 |
| Moller Scattering of Two Electrons | p. 126 |
| Properties of the D[subscript F] Function | p. 128 |
| The Moller Formula, Conclusion | p. 129 |
| Electron-Positron Scattering | p. 130 |
| Scattering of a Photon by an Electron. The Compton Effect. Klein-Nishina Formula | p. 130 |
| Calculation of the Cross-Section | p. 133 |
| Sum Over Spins | p. 134 |
| Two Quantum Pair Annihilation | p. 139 |
| Bremsstrahlung and Pair Creation in the Coulomb Field of an Atom | p. 142 |
| General Theory of Free Particle Scattering | p. 145 |
| The Reduction of an Operator to Normal Form | p. 148 |
| Feynman Graphs | p. 152 |
| Feynman Rules of Calculation | p. 155 |
| The Self-Energy of the Electron | p. 158 |
| Second-Order Radiative Corrections to Scattering | p. 162 |
| The Treatment of Low-Frequency Photons. The Infra-Red Catastrophe | p. 181 |
| Scattering by a Static Potential. Comparison with Experimental Results | p. 183 |
| The Magnetic Moment of the Electron | p. 189 |
| Relativistic Calculation of the Lamb Shift | p. 191 |
| Covariant Part of the Calculation | p. 193 |
| Covariant Part of the Calculation | p. 193 |
| Discussion and the Nature of the [Omega]-Representation | p. 196 |
| Concluding Non-Covariant Part of the Calculation | p. 198 |
| Accuracy of the Lamb Shift Calculation | p. 202 |
| Notes | p. 205 |
| References | p. 210 |
| Index | p. 215 |
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