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1 Special Relativity Theory: Kinematics |
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1 | (132) |
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11 | (7) |
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1.1.1 Measurements of the speed of light |
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11 | (4) |
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1.1.2 The aberration of starlight |
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15 | (3) |
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1.2 The Michelson--Morley Experiment |
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18 | (7) |
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1.2.1 The experiment and its result |
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19 | (6) |
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1.3 The Kinematic Postulate of the Special Theory of Relativity |
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25 | (2) |
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1.3.1 The invariance of the speed of light |
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25 | (2) |
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1.4 The Relative Character of Simultaneity |
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27 | (10) |
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1.4.1 An analysis of the concept of simultaneity |
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28 | (7) |
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1.4.2 The relative character of time and length measurements |
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35 | (2) |
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1.5 The Lorentz Transformation |
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37 | (32) |
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1.5.1 Inadequacy of the galilean transformation law |
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38 | (3) |
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1.5.2 Time dilatation and Lorentz contraction |
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41 | (7) |
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1.5.3 A special set of Lorentz transformation equations |
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48 | (7) |
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1.5.4 Derivation of time-dilatation and Lorentz contraction formulas from Lorentz transformation equations |
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55 | (6) |
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1.5.5 The general form of the Lorentz transformation equations |
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61 | (8) |
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1.6 The Visual Appearance of Moving Objects |
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69 | (4) |
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1.6.1 The difference between the instantaneous location of an object and its visual appearance |
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69 | (4) |
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1.7 Transformation Law for Velocities |
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73 | (3) |
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1.7.1 Derivation of the transformation law |
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73 | (3) |
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1.8 Events and Space-Time |
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76 | (23) |
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77 | (6) |
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1.8.2 The relation between the space-time diagrams of two inertial observers |
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83 | (4) |
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1.8.3 Space-time view of time dilatation and Lorentz contraction |
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87 | (1) |
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1.8.4 The partitioning of space-time by a light cone |
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88 | (3) |
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1.8.5 Space-time intervals |
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91 | (5) |
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96 | (3) |
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99 | (15) |
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1.9.1 Definition and properties of 4-vectors |
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100 | (4) |
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104 | (3) |
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1.9.3 Conditions satisfied by the transformations of sets of components among different observers |
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107 | (4) |
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1.9.4 Tensors in space-time |
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111 | (3) |
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1.10 The Propagation 4-Vector for Waves |
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114 | (19) |
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1.10.1 The propagation vector and the doppler effect |
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115 | (6) |
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121 | (11) |
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132 | (1) |
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2 Special Relativity Theory: Introductory Dynamics |
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133 | (150) |
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2.1 The Dynamic Postulate of Einstein's Special Relativity Theory |
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143 | (6) |
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2.1.1 The incompatibility of Newton's laws and the principle of relativity |
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143 | (3) |
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2.1.2 The dynamic postulate of special relativity |
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146 | (1) |
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2.1.3 Covariant equations |
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147 | (2) |
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2.2 The Conservation of Momentum and Energy |
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149 | (46) |
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2.2.1 The covariant form of the conservation law for the force-free motion of a single particle |
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150 | (7) |
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2.2.2 Conservation laws for elastic collisions |
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157 | (17) |
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2.2.3 An examination of the process of generalization of the nonrelativistic conservation laws |
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174 | (3) |
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2.2.4 The general form of the conservation law of 4-momentum |
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177 | (6) |
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2.2.5 The inertia of energy |
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183 | (3) |
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2.2.6 The momentum associated with a flow of energy |
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186 | (9) |
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2.3 The Covariant Equation of Motion for a Particle Experiencing a Given External Force |
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195 | (19) |
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2.3.1 The covariant equation of motion |
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197 | (5) |
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2.3.2 Motion along a straight line under a given external force |
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202 | (7) |
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2.3.3 Relativistic effects of a force in an arbitrary direction |
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209 | (5) |
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2.4 Nuclei and Fundamental Particles |
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214 | (69) |
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217 | (4) |
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221 | (6) |
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227 | (14) |
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2.4.4 The neutron and the nucleon |
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241 | (9) |
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250 | (3) |
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253 | (6) |
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259 | (6) |
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2.4.8 Strange particles: K-mesons and hyperons |
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265 | (6) |
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2.4.9 Resonances and other particles |
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271 | (6) |
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277 | (5) |
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282 | (1) |
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3 General Theory of Relativity |
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283 | (44) |
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287 | (12) |
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3.1.1 A metric form for the surface of a sphere |
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287 | (6) |
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3.1.2 The curvature tensor |
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293 | (6) |
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3.2 The Principle of Equivalence and Curved Space-Time |
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299 | (14) |
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3.2.1 Geodesic motion in a region of space devoid of gravitational forces |
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300 | (3) |
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3.2.2 The general form of the metric in the neighborhood of a massive object |
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303 | (3) |
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3.2.3 A metric form appropriate for a reference system experiencing a constant acceleration relative to the stars |
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306 | (4) |
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3.2.4 An approximation to the metric form in the neighborhood of a massive object |
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310 | (3) |
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3.3 The General Theory of Relativity |
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313 | (14) |
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3.3.1 The principle of general relativity |
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313 | (1) |
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3.3.2 Einstein's equations for the metric form of space-time |
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314 | (2) |
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3.3.3 Some theoretical consequences of Einstein's equations |
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316 | (2) |
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3.3.4 Tests of Einstein's theory of gravitation |
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318 | (4) |
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322 | (3) |
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325 | (2) |
| Answers to Problems |
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327 | (14) |
| Author Index |
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341 | (2) |
| Subject Index |
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343 | |
