Preface |
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vii | |
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1 | (26) |
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Complementarity and Uncertainty |
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1 | (10) |
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2 | (4) |
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The Uncertainty Principle |
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6 | (5) |
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11 | (9) |
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The Superposition Principle |
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11 | (1) |
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12 | (2) |
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Two-Particle Interferometry |
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14 | (5) |
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19 | (1) |
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The Discovery of Quantum Mechanics |
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20 | (4) |
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24 | (3) |
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27 | (86) |
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The Formal Language: Hilbert Space |
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27 | (12) |
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29 | (1) |
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30 | (2) |
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32 | (3) |
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35 | (3) |
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Eigenvalues and Eigenvectors |
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38 | (1) |
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39 | (15) |
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40 | (3) |
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43 | (3) |
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Mixtures and the Density Matrix |
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46 | (4) |
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50 | (2) |
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52 | (2) |
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54 | (6) |
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The Canonical Commutation Rules |
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54 | (2) |
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Schrodinger Wave Functions |
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56 | (3) |
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59 | (1) |
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60 | (11) |
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60 | (5) |
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65 | (1) |
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Time Development of Expectation Values |
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66 | (1) |
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67 | (3) |
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70 | (1) |
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Symmetries and Conservation Laws |
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71 | (13) |
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Symmetries and Unitary Transformations |
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72 | (1) |
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73 | (1) |
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74 | (2) |
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76 | (5) |
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Space Reflection and Parity |
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81 | (1) |
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82 | (2) |
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Propagators and Green's Functions |
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84 | (8) |
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84 | (1) |
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85 | (2) |
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The Free Particle Propagator and Green's Function |
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87 | (2) |
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89 | (3) |
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92 | (6) |
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The Feynman Path Integral |
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92 | (3) |
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The Free-Particle Path Integral |
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95 | (3) |
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Semiclassical Quantum Mechanics |
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98 | (11) |
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99 | (3) |
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The Semiclassical Wave Function |
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102 | (2) |
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The Semiclassical Propagator |
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104 | (2) |
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106 | (3) |
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109 | (4) |
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111 | (2) |
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113 | (52) |
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Angular Momentum: The Spectrum |
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113 | (3) |
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116 | (4) |
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120 | (8) |
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121 | (4) |
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125 | (2) |
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127 | (1) |
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128 | (5) |
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Addition of Angular Momenta |
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133 | (9) |
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133 | (2) |
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Adding Spins 1/2 and Unit Spins |
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135 | (2) |
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Arbitrary Angular Momenta; Clebsch-Gordan Coefficients |
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137 | (3) |
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Matrix Elements of Vector Operators |
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140 | (2) |
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142 | (7) |
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Center-of-Mass and Relative Motion |
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142 | (2) |
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The Radial Schrodinger Equations: General Case |
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144 | (3) |
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Bound-State Coulomb Wave Functions |
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147 | (2) |
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Basic Approximation Methods |
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149 | (13) |
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Stationary-State Perturbation Theory |
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150 | (3) |
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Degenerate-State Perturbation Theory |
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153 | (3) |
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Time-Dependent Perturbation Theory |
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156 | (3) |
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159 | (2) |
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The Variational Principle |
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161 | (1) |
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162 | (3) |
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165 | (70) |
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Spectroscopy in Two-Level Systems |
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166 | (8) |
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166 | (3) |
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169 | (5) |
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174 | (14) |
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174 | (1) |
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Energy Eigenvalues and Eigenfunctions |
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175 | (3) |
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178 | (3) |
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181 | (3) |
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184 | (2) |
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Propagator and Path Integral |
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186 | (2) |
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Motion in a Magnetic Field |
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188 | (10) |
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Equations of Motion and Energy Spectrum |
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188 | (2) |
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Eigenstates of Energy and Angular Momentum |
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190 | (4) |
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194 | (2) |
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196 | (2) |
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Scattering in One Dimension |
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198 | (18) |
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198 | (4) |
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The Delta-Function Potential |
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202 | (2) |
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Resonant Transmission and Reflection |
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204 | (9) |
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The Exponential Decay Law |
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213 | (3) |
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The Semiclassical Approximation |
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216 | (12) |
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217 | (1) |
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218 | (4) |
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Energy Eigenvalues, Barrier Transmission, and α-Decay |
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222 | (3) |
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Exactly Solvable Examples |
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225 | (3) |
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228 | (7) |
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233 | (2) |
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235 | (32) |
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235 | (3) |
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238 | (7) |
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238 | (2) |
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240 | (2) |
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242 | (1) |
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243 | (2) |
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Fine and Hyperfine Structure |
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245 | (9) |
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245 | (4) |
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Hyperfine Structure --- General Features |
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249 | (1) |
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250 | (2) |
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252 | (2) |
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The Zeeman and Stark Effects |
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254 | (9) |
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Order of Magnitude Estimates |
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254 | (3) |
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257 | (3) |
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260 | (3) |
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263 | (4) |
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266 | (1) |
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267 | (16) |
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267 | (5) |
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267 | (2) |
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269 | (1) |
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Symmetric and Antisymmetric States |
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270 | (2) |
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272 | (3) |
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Atoms with Two Valence Electrons |
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275 | (4) |
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The Shell Model and Coupling Schemes |
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275 | (1) |
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276 | (3) |
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279 | (4) |
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281 | (2) |
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283 | (52) |
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Equivalent Descriptions and Wigner's Theorem |
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283 | (3) |
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286 | (6) |
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The Time Reversal Operator |
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287 | (2) |
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289 | (1) |
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290 | (2) |
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292 | (5) |
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Transformation of States: Galileo Invariance |
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292 | (3) |
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295 | (2) |
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297 | (14) |
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297 | (2) |
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299 | (2) |
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Irreducible Representations of SU(2) |
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301 | (3) |
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D(R) in Terms of Euler Angles |
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304 | (2) |
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306 | (1) |
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Integration over Rotations |
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307 | (4) |
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Some Consequences of Symmetry |
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311 | (9) |
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Rotation of Spherical Harmonics |
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312 | (2) |
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314 | (2) |
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Decay Angular Distributions |
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316 | (1) |
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317 | (3) |
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320 | (6) |
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Definition of Tensor Operators |
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320 | (2) |
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The Wigner-Eckart Theorem |
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322 | (2) |
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Racah Coefficients and 6-j Symbols |
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324 | (2) |
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326 | (5) |
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327 | (2) |
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Correction to the Adiabatic Approximation |
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329 | (2) |
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331 | (4) |
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334 | (1) |
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335 | (68) |
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Consequences of Probability and Angular Momentum Conservation |
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335 | (10) |
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335 | (5) |
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340 | (1) |
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Time-Dependent Description and the Optical Theorem |
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340 | (5) |
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General Properties of Elastic Amplitudes |
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345 | (12) |
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Integral Equations and the Scattering Amplitude |
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346 | (4) |
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350 | (3) |
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353 | (1) |
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Symmetry Properties of the Amplitude |
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354 | (2) |
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Relations Between Laboratory and Center-of-Mass Quantities |
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356 | (1) |
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Approximation to Elastic Amplitudes |
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357 | (11) |
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358 | (3) |
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Validity of the Born Approximation |
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361 | (3) |
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Short-Wavelength Approximations |
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364 | (4) |
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Scattering in a Coulomb Field |
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368 | (8) |
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The Coulomb Scattering Amplitude |
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368 | (5) |
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The Influence of a Short-Range Interaction |
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373 | (3) |
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Scattering of Particles with Spin |
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376 | (6) |
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377 | (1) |
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Cross Section and Spin Polarization |
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378 | (1) |
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Scattering of a Spin 1/2 Particle by a Spin 0 Target |
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379 | (3) |
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Neutron-Proton Scattering and the Deuteron |
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382 | (10) |
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Low-Energy Neutron-Proton Scattering |
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383 | (2) |
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The Deuteron and Low-Energy up Scattering |
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385 | (3) |
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Neutron Scattering by the Hydrogen Molecule |
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388 | (2) |
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390 | (2) |
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Scattering of Identical Particles |
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392 | (5) |
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392 | (3) |
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Fermion-Fermion Scattering |
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395 | (2) |
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397 | (6) |
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403 | (34) |
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Atomic Collision Processes |
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403 | (11) |
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Scattering Amplitudes and Cross Sections |
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404 | (3) |
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407 | (2) |
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409 | (3) |
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412 | (2) |
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414 | (10) |
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Scattering by a Bound Particle |
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415 | (2) |
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417 | (4) |
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Transition Rates and Cross Sections |
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421 | (3) |
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424 | (9) |
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424 | (4) |
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Elastic and Inelastic Cross Sections |
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428 | (5) |
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433 | (4) |
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435 | (2) |
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437 | (66) |
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Quantization of the Free Field |
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437 | (13) |
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438 | (3) |
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441 | (2) |
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443 | (5) |
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Space Reflection and Time Reversal |
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448 | (2) |
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Causality and Uncertainty in Electrodynamics |
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450 | (4) |
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Commutation Rules: Complementarity |
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450 | (2) |
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452 | (2) |
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454 | (6) |
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455 | (3) |
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458 | (2) |
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460 | (8) |
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The Interaction Between Field and Sources |
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461 | (2) |
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463 | (3) |
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466 | (2) |
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468 | (8) |
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468 | (2) |
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Various States of the Field |
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470 | (4) |
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474 | (2) |
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The Photoeffect in Hydrogen |
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476 | (6) |
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476 | (2) |
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The Cross Section Near Threshold |
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478 | (4) |
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482 | (3) |
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Resonant Scattering and Spontaneous Decay |
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485 | (11) |
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486 | (2) |
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The Elastic Scattering Cross Section |
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488 | (4) |
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Decay of the Excited State |
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492 | (3) |
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The Connection Between Self-Energy and Resonance Width |
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495 | (1) |
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496 | (7) |
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501 | (2) |
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Systems of Identical Particles |
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503 | (36) |
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503 | (3) |
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506 | (13) |
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507 | (6) |
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513 | (3) |
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516 | (2) |
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518 | (1) |
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519 | (7) |
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The Grand Canonical Ensemble |
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520 | (1) |
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521 | (3) |
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524 | (2) |
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The Mean Field Approximation |
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526 | (9) |
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The Dilute Bose-Einstein Condensate |
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527 | (3) |
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The Hartree-Fock Equations |
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530 | (5) |
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535 | (4) |
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539 | (38) |
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The Critique of Einstein, Podolsky and Rosen |
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540 | (4) |
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544 | (2) |
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546 | (8) |
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547 | (1) |
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548 | (2) |
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The Clauser-Horne Inequality |
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550 | (1) |
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An Experimental Test of Bell's Inequality |
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551 | (3) |
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554 | (4) |
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558 | (16) |
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558 | (4) |
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Coherence and Entropy Following Measurement |
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562 | (4) |
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An Optical Analogue to the Stern-Gerlach Experiment |
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566 | (4) |
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A Delayed Choice Experiment |
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570 | (2) |
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572 | (2) |
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574 | (3) |
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575 | (2) |
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Relativistic Quantum Mechanics |
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577 | (30) |
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577 | (2) |
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579 | (10) |
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Lorentz Transformations of Spinors |
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580 | (4) |
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The Free-Particle Dirac Equation |
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584 | (3) |
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Charge and Current Densities |
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587 | (2) |
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Electromagnetic Interaction of a Dirac Particle |
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589 | (8) |
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The Dirac Equation in the Presence of a Field |
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589 | (2) |
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591 | (2) |
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The Fine Structure Hamiltonian |
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593 | (2) |
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Antiparticles and Charge Conjugation |
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595 | (2) |
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Scattering of Ultra-Relativistic Electrons |
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597 | (3) |
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Bound States in a Coulomb Field |
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600 | (5) |
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605 | (2) |
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606 | (1) |
Appendix |
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607 | (3) |
Index |
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610 | |