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狭义相对论 英文2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载
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- N.M.J.Woodhouse编著 著
- 出版社: 北京:清华大学出版社
- ISBN:9787302214878
- 出版时间:2009
- 标注页数:191页
- 文件大小:6MB
- 文件页数:205页
- 主题词:狭义相对论-高等学校-教材-英文
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图书目录
1.Relativity in Classical Mechanics1
1.1 Frames of Reference1
1.2 Relativity2
1.3 Frames of Reference4
1.4 Newton's Laws5
1.5 Galilean Transformations8
1.6 Mass,Energy,and Momentum10
1.7 Space-time12
1.8 *Galilean Symmetries16
1.9 Historical Note17
2.Maxwell's Theory21
2.1 Introduction21
2.2 The Unification of Electricity and Magnetism22
2.3 Charges,Fields,and the Lorentz Force Law23
2.4 Stationary Distributions of Charge25
2.5 The Divergence of the Magnetic Field27
2.6 Inconsistency with Galilean Relativity28
2.7 The Limits of Galilean Invariance29
2.8 Faraday's Law of Induction30
2.9 The Field of Charges in Uniform Motion32
2.10 Maxwell's Equations33
2.11 The Continuity Equation34
2.12 Conservation of Charge34
2.13 Historical Note36
3.The Propagation of Light39
3.1 The Displacement Current39
3.2 The Source-free Equations41
3.3 The Wave Equation42
3.4 Monochromatic Plane Waves43
3.5 Polarization44
3.6 Potentials45
3.7 Gauge Transformations48
3.8 Photons49
3.9 Relativity and the Propagation of Light50
3.10 The Michelson-Morley Experiment51
4.Einstein's Special Theory of Relativity57
4.1 Lorentz's Contraction57
4.2 Operational Definitions of Distance and Time58
4.3 The Relativity of Simultaneity60
4.4 Bondi's k-Factor63
4.5 Time Dilation64
4.6 The Two-dimensional Lorentz Transformation65
4.7 Transformation of Velocity68
4.8 The Lorentz Contraction69
4.9 Composition of Lorentz Transformations69
4.10 Rapidity71
4.11 *The Lorentz and PoincaréGroups71
5.Lorentz Transformations in Four Dimensions75
5.1 Coordinates in Four Dimensions75
5.2 Four-dimensional Coordinate Transformations76
5.3 The Lorentz Transformation in Four Dimensions79
5.4 The Standard Lorentz Transformation81
5.5 The General Lorentz Transformation82
5.6 Euclidean Space and Minkowski Space84
5.7 Four-vectors84
5.8 Temporal and Spatial Parts87
5.9 The Inner Product87
5.10 Classification of Four-vectors90
5.11 Causal Structure of Minkowski Space92
5.12 Invariant Operators93
5.13 The Frequency Four-vector97
5.14 *Affine Spaces and Covectors98
6.Relative Motion103
6.1 Transformations Between Frames103
6.2 Proper Time104
6.3 Four-velocity105
6.4 Four-acceleration110
6.5 Constant Acceleration113
6.6 Continuous Distributions116
6.7 *Rigid Body Motion117
6.8 Visual Observation120
7.Relativistic Collisions125
7.1 The Operational Definition of Mass126
7.2 Conservation of Four-momentum127
7.3 Equivalence of Mass and Energy128
8.Relativistic Electrodynamics133
8.1 Lorentz Transformations of E and B133
8.2 The Four-Current and the Four-potential136
8.3 Transformations of E and B139
8.4 Linearly Polarized Plane Waves141
8.5 Electromagnetic Energy143
8.6 The Four-momentum of a Photon144
8.7 *Advanced and Retarded Solutions146
9.*Tensors and Isometries151
9.1 Affine Space152
9.2 The Lorentz Group152
9.3 Tensors154
9.4 The Tensor Product155
9.5 Tensors in Minkowski Space158
9.6 Tensor Components159
9.7 Examples of Tensors161
9.8 One-parameter Subgroups165
9.9 Isometries168
9.10 The Riemann Sphere and Spinors169
Notes on Exercises173
Vector Calculus183
Bibliography187
Index189
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