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1 Gravitation and Newton's Laws |
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1 | (46) |
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1.1 From Pythagoras to the Middle Ages |
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2 | (4) |
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1.2 Copernicus, Kepler, and Galileo |
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6 | (7) |
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1.3 Newton and Modern Science |
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13 | (2) |
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15 | (12) |
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15 | (1) |
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1.4.2 Newton's Second Law |
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15 | (9) |
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1.4.3 Planetary Motion in Newton's Theory |
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24 | (2) |
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26 | (1) |
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27 | (8) |
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1.5.1 Conservation of Linear Momentum |
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28 | (1) |
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1.5.2 Conservation of Angular Momentum |
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29 | (2) |
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1.5.3 Conservation of Energy |
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31 | (4) |
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35 | (1) |
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1.7 Inertial and Non-inertial Systems |
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36 | (4) |
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1.8 The Principle of Least Action |
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40 | (3) |
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43 | (4) |
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45 | (2) |
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2 Entropy, Statistical Physics, and Information |
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47 | (34) |
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2.1 Thermodynamic Approach |
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48 | (4) |
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2.1.1 First Law of Thermodynamics |
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49 | (1) |
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2.1.2 Second Law of Thermodynamics |
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49 | (2) |
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2.1.3 Third Law of Thermodynamics |
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51 | (1) |
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2.1.4 Thermodynamic Potentials |
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51 | (1) |
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52 | (6) |
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2.3 Entropy and Statistical Physics |
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58 | (2) |
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2.4 Temperature and Chemical Potential |
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60 | (1) |
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2.5 Statistical Mechanics |
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60 | (10) |
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62 | (6) |
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2.5.2 Maxwell Distribution |
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68 | (2) |
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2.5.3 Grand Canonical Ensemble |
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70 | (1) |
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2.6 Entropy and Information |
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70 | (2) |
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2.7 Maxwell's Demon and Perpetuum Mobile |
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72 | (9) |
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78 | (3) |
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3 Electromagnetism and Maxwell's Equations |
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81 | (32) |
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84 | (2) |
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3.2 Electrostatic and Gravitational Fields |
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86 | (1) |
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3.3 Conductors, Semiconductors, and Insulators |
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87 | (1) |
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88 | (1) |
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89 | (2) |
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91 | (5) |
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3.6.1 Gauss's Law for Electric Fields |
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91 | (1) |
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3.6.2 Gauss's Law for Magnetism |
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92 | (2) |
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94 | (1) |
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95 | (1) |
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96 | (3) |
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99 | (3) |
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102 | (4) |
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103 | (1) |
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103 | (1) |
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103 | (2) |
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3.9.4 Ferrimagnetism, Antiferromagnetism, and Magnetic Frustration |
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105 | (1) |
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3.9.5 Spin Ices and Monopoles |
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106 | (1) |
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106 | (1) |
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3.11 Spontaneous Symmetry Breaking |
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107 | (2) |
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109 | (1) |
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3.13 Meissner Effect: Type I and II Superconductors |
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110 | (3) |
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111 | (2) |
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113 | (30) |
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4.1 Waves in a Medium and in Æther |
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114 | (1) |
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4.2 Electromagnetic Waves and Maxwell's Equations |
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115 | (4) |
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117 | (1) |
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118 | (1) |
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4.3 Generation of Electromagnetic Waves |
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119 | (2) |
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4.3.1 Retarded potentials |
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119 | (1) |
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4.3.2 Mechanisms generating electromagnetic waves |
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120 | (1) |
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121 | (12) |
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121 | (3) |
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124 | (4) |
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128 | (2) |
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4.4.4 Spectral Composition |
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130 | (3) |
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4.5 Fourier Series and Integrals |
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133 | (2) |
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4.6 Reflection and Refraction |
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135 | (2) |
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137 | (1) |
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138 | (5) |
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141 | (2) |
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5 Special Theory of Relativity |
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143 | (24) |
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5.1 Postulates of Special Relativity |
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143 | (4) |
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5.2 Lorentz Transformations |
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147 | (3) |
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5.3 Light Cone and Causality |
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150 | (2) |
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5.4 Contraction of Lengths |
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152 | (1) |
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5.5 Time Dilation: Proper Time |
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153 | (3) |
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5.6 Addition of Velocities |
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156 | (1) |
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5.7 Relativistic Four-Vectors |
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156 | (2) |
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5.8 Electrodynamics in Relativistically Covariant Formalism |
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158 | (3) |
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161 | (1) |
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162 | (1) |
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163 | (1) |
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5.12 Tachyons and Superluminal Signals |
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164 | (3) |
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166 | (1) |
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6 Atoms and Quantum Theory |
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167 | (46) |
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167 | (3) |
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6.2 Evolution of the Concept of Atom |
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170 | (1) |
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6.3 Rutherford's Experiment |
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170 | (1) |
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171 | (3) |
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6.5 Schrodinger's Equation |
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174 | (3) |
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177 | (7) |
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6.7 Operators and States in Quantum Mechanics |
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184 | (4) |
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6.8 Quantum Harmonic Oscillator |
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188 | (5) |
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6.8.1 Schrodinger's Equation for the Harmonic Oscillator |
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189 | (2) |
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191 | (2) |
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6.9 Emission and Absorption of Radiation |
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193 | (1) |
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6.10 Stimulated Emission and Lasers |
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194 | (1) |
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194 | (1) |
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6.12 Indistinguishability and Pauli's Principle |
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195 | (2) |
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6.13 Exchange Interaction |
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197 | (1) |
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6.14 Exchange Energy and Ferromagnetism |
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198 | (1) |
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6.15 Distribution of Electrons in the Atom |
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199 | (1) |
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200 | (3) |
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6.16.1 U and R Evolution Procedures |
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201 | (1) |
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6.16.2 On Theory and Observable Quantities |
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202 | (1) |
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6.17 Paradoxes in Quantum Mechanics |
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203 | (8) |
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6.17.1 De Broglie's Paradox |
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203 | (1) |
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6.17.2 Schrodinger's Cat Paradox |
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204 | (1) |
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6.17.3 Toward the EPR Paradox |
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205 | (2) |
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6.17.4 A Hidden Variable Model and Bell's Theorem |
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207 | (1) |
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6.17.5 Bell Inequality and Conventional Quantum Mechanics |
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208 | (2) |
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6.17.6 EPR Paradox: Quantum Mechanics vs. Special Relativity |
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210 | (1) |
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6.18 Quantum Computation and Teleportation |
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211 | (2) |
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212 | (1) |
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7 Quantum Electrodynamics |
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213 | (38) |
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213 | (9) |
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7.1.1 The Spin of the Electron |
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213 | (6) |
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7.1.2 Hydrogen Atom in Dirac's Theory |
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219 | (1) |
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7.1.3 Hole Theory and Positrons |
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220 | (2) |
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7.2 Intermezzo: Natural Units and the Metric Used in Particle Physics |
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222 | (1) |
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7.3 Quantized Fields and Particles |
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223 | (4) |
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7.4 Quantum Electrodynamics (QED) |
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227 | (14) |
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7.4.1 Unitarity in Quantum Electrodynamics |
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228 | (3) |
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231 | (1) |
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232 | (1) |
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232 | (4) |
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7.4.5 Electron Self-energy and Vacuum Polarization |
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236 | (3) |
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7.4.6 Renormalization and Running Coupling Constant |
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239 | (2) |
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7.5 Quantum Vacuum and Casimir Effect |
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241 | (1) |
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7.6 Principle of Gauge Invariance |
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242 | (4) |
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246 | (1) |
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247 | (4) |
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249 | (2) |
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8 Fermi-Dirac and Bose-Einstein Statistics |
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251 | (28) |
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8.1 Fermi-Dirac Statistics |
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251 | (2) |
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8.2 Fermi-Dirac and Bose-Einstein Distributions |
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253 | (2) |
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8.3 The Ideal Electron Gas |
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255 | (2) |
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8.4 Heat Capacity of Metals |
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257 | (2) |
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8.5 Metals, Semiconductors, and Insulators |
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259 | (2) |
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261 | (1) |
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8.7 Applications of the Fermi-Dirac Statistics |
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261 | (9) |
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8.7.1 Quantum Hall Effect |
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261 | (7) |
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268 | (2) |
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8.8 Bose-Einstein Statistics |
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270 | (1) |
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8.9 Einstein-Debye Theory of Heat Capacity |
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271 | (2) |
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8.10 Bose-Einstein Condensation |
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273 | (4) |
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277 | (2) |
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278 | (1) |
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9 Four Fundamental Forces |
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279 | (16) |
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9.1 Gravity and Electromagnetism |
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279 | (1) |
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280 | (3) |
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283 | (1) |
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9.4 Parity Non-Conservation in Beta Decay |
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283 | (2) |
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9.5 Violation of CP and T Invariance |
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285 | (3) |
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9.6 Some Significant Numbers |
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288 | (1) |
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289 | (2) |
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9.8 Neutron Stars and Pulsars |
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291 | (4) |
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293 | (2) |
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10 General Relativity and Cosmology |
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295 | (24) |
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10.1 Principle of Equivalence and General Relativity |
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296 | (2) |
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10.2 Gravitational Field and Geometry |
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298 | (5) |
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10.3 Affine Connection and Metric Tensor |
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303 | (2) |
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10.4 Gravitational Field Equations |
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305 | (2) |
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307 | (3) |
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10.6 Gravitational Radius and Collapse |
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310 | (7) |
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314 | (1) |
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10.6.2 Dark Matter, Dark Energy, and Accelerated Expansion |
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315 | (2) |
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10.7 Gravitation and Quantum Effects |
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317 | (1) |
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317 | (2) |
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318 | (1) |
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11 Unification of the Forces of Nature |
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319 | (34) |
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11.1 Theory of Weak Interactions |
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319 | (4) |
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323 | (2) |
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11.3 Nambu--Goldstone Theorem |
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325 | (2) |
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11.4 Brout-Englert--Higgs Mechanism |
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327 | (1) |
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11.5 Glashow-Salam--Weinberg Model |
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328 | (5) |
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11.6 Electroweak Phase Transition |
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333 | (1) |
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334 | (6) |
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11.8 Neutrino Oscillations and Masses |
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340 | (1) |
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11.9 Quantum Chromodynamics |
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341 | (4) |
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345 | (1) |
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346 | (2) |
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11.12 Supersymmetry and Superstrings |
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348 | (5) |
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351 | (2) |
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353 | (12) |
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353 | (4) |
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12.2 Life and Fundamental Interactions |
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357 | (1) |
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12.3 Homochirality: Biological Symmetry Breaking |
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357 | (2) |
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12.4 Neutrinos and Beta Decay |
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359 | (2) |
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361 | (1) |
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12.6 Search for Extraterrestrial Life |
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362 | (3) |
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363 | (2) |
Author Index |
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365 | (4) |
Subject Index |
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369 | |