Preface |
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ix | |
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Some Fundamental Principles |
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1 | (36) |
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Units and Characteristic Lengths, Times, Energies, Etc. |
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1 | (4) |
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Relativistic Covariance and Relativistic Invariants |
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5 | (10) |
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5 | (3) |
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Other Four-Vectors and Tensors---Covariance |
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8 | (2) |
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Some Useful and Important Invariants |
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10 | (3) |
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Covariant Mechanics and Electrodynamics |
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13 | (2) |
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15 | (3) |
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Threshold Energies in Non-Relativistic and Relativistic Processes |
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15 | (2) |
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Transformations of Angular Distributions |
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17 | (1) |
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18 | (3) |
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21 | (16) |
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21 | (2) |
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23 | (3) |
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General Theorems---Formulation |
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26 | (2) |
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General Formulas---Evaluation of Multiple Integrals |
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28 | (4) |
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One-Particle Distributions |
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32 | (2) |
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34 | (3) |
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Classical Electrodynamics |
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37 | (38) |
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37 | (4) |
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Fields, Potentials, and Gauges |
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37 | (2) |
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Retarded Potentials in the Lorentz Gauge |
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39 | (2) |
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Multipole Expansion of the Radiation Field |
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41 | (5) |
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Vector Potential and Retardation Expansion |
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41 | (2) |
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43 | (3) |
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46 | (3) |
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Fields of a Charge in Relativistic Motion |
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49 | (5) |
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Lienard-Wiechert Potentials |
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49 | (2) |
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51 | (2) |
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Fields of an Accelerated Charge |
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53 | (1) |
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Radiation from a Relativistic Charge |
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54 | (3) |
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57 | (4) |
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57 | (3) |
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Relativistic Theory: Lorentz-Dirac Equation |
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60 | (1) |
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61 | (4) |
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61 | (1) |
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62 | (1) |
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Emission from Relativistic Particles |
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63 | (2) |
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Weizsacker-Williams Method |
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65 | (5) |
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Fields of a Moving Charge |
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66 | (2) |
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68 | (2) |
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Absorption and Stimulated Emission |
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70 | (5) |
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Relation to Spontaneous Emission |
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71 | (1) |
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General Multiphoton Formula |
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72 | (1) |
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73 | (2) |
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75 | (60) |
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76 | (2) |
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Relationship with Classical Electrodynamics |
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78 | (2) |
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Non-Relativistic Formulation |
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80 | (14) |
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80 | (1) |
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Classical Interaction Hamiltonian |
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80 | (3) |
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Quantum-Mechanical Interaction Hamiltonian |
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83 | (1) |
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84 | (4) |
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Processes, Vertices, and Diagrams |
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88 | (6) |
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94 | (15) |
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Modifications of the Non-Covariant Formulation |
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94 | (3) |
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Photon Interactions with Charges without Spin |
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97 | (6) |
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103 | (4) |
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Invariant Transition Rate |
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107 | (2) |
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109 | (14) |
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109 | (4) |
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Emission from Spin Transitions |
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113 | (3) |
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Relativistic Particles without Spin |
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116 | (3) |
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Relativistic Spin-1/2 Particles |
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119 | (4) |
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Special Features of Electromagnetic Processes |
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123 | (12) |
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123 | (4) |
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Radiative Corrections and Renormalization |
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127 | (3) |
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130 | (2) |
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132 | (3) |
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Elastic Scattering of Charged Particles |
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135 | (42) |
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Classical Coulomb Scattering |
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135 | (7) |
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135 | (3) |
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138 | (1) |
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Two-Body Problem---Relative Motion |
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139 | (2) |
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Validity of the Classical Limit |
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141 | (1) |
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Non-Relativistic Born Approximation and Exact Treatment |
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142 | (14) |
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Perturbation-Theory Formulation |
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142 | (3) |
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145 | (3) |
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148 | (2) |
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Scattering of Identical Particles |
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150 | (4) |
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Validity of the Born Approximation |
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154 | (2) |
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Scattering of Relativistic Particles of Zero Spin |
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156 | (10) |
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156 | (2) |
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Scattering of Two Distinguishable Charges |
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158 | (4) |
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162 | (1) |
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Scattering of Charged Antiparticles |
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163 | (3) |
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Scattering of Relativistic Spin-1/2 Particles |
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166 | (11) |
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Spin Sums, Projection Operators, and Trace Theorems |
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166 | (4) |
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170 | (1) |
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Møller and Bhabha Scattering |
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171 | (6) |
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177 | (34) |
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177 | (5) |
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Kinematics of the Scattering |
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177 | (1) |
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Derivation of the Thomson Cross Section |
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178 | (3) |
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Validity of the Classical Limit |
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181 | (1) |
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Quantum-Mechanical Derivation: Non-Relativistic Limit |
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182 | (4) |
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Interactions and Diagrams |
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182 | (2) |
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Calculation of the Cross Section |
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184 | (2) |
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Scattering by a Magnetic Moment |
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186 | (2) |
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188 | (3) |
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Relativistic Spin-1/2 Problem: Klein-Nishina Formula |
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191 | (6) |
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191 | (2) |
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Evaluation of the Cross Section |
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193 | (1) |
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194 | (1) |
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Limiting Forms and Comparisons |
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195 | (2) |
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Relationship to Pair Annihilation and Production |
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197 | (2) |
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Double Compton Scattering |
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199 | (12) |
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Non-Relativistic Case. Soft-Photon Limit |
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199 | (3) |
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Non-Relativistic Case. Arbitrary Energy |
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202 | (5) |
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Extreme Relativistic Limit |
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207 | (4) |
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211 | (58) |
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211 | (6) |
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211 | (3) |
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General Case: Definition of the Gaunt Factor |
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214 | (3) |
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Non-Relativistic Born Limit |
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217 | (11) |
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General Formulation for Single-Particle Bremsstrahlung |
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217 | (5) |
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Coulomb (and Screened-Coulomb) Bremsstrahlung |
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222 | (1) |
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Born Correction: Sommerfeld-Elwert Factor |
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223 | (3) |
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Electron-Positron Bremsstrahlung |
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226 | (2) |
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Electron-Electron Bremsstrahlung. Non-Relativistic |
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228 | (8) |
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228 | (4) |
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Photon-Emission Probability (without Exchange) |
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232 | (2) |
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Cross Section (with Exchange) |
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234 | (2) |
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236 | (4) |
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General Result. Gaunt Factor |
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236 | (3) |
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239 | (1) |
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Relativistic Coulomb Bremsstrahlung |
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240 | (14) |
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241 | (3) |
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Spin-1/2: Bethe-Heitler Formula |
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244 | (4) |
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Relativistic Electron-Electron Bremsstrahlung |
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248 | (3) |
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Weizsacker-Williams Method |
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251 | (3) |
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Electron-Atom Bremsstrahlung |
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254 | (15) |
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254 | (2) |
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Born Limit---Non-Relativistic |
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256 | (1) |
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Intermediate Energies---Non-Relativistic |
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257 | (2) |
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Relativistic Energies---Formulation |
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259 | (5) |
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Relativistic Energies---Results and Discussion |
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264 | (5) |
Index |
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269 | |