What is included with this book?
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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