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Viser: Special Relativity
Special Relativity
N. M. J. Woodhouse
(2002)
Sprog: Engelsk
om ca. 15 hverdage
Detaljer om varen
- 1. Udgave
- Paperback: 192 sider
- Udgiver: Springer London, Limited (November 2002)
- ISBN: 9781852334260
1.1 Frames of Reference.-
1.2 Relativity.-
1.3 Frames of Reference.-
1.4 Newton's Laws.-
1.5 Galilean Transformations.-
1.6 Mass, Energy, and Momentum.-
1.7 Space-time.-
1.8 *Galilean Symmetries.-
1.9 Historical Note.-
2. Maxwell's Theory.-
2.1 Introduction.-
2.2 The Unification of Electricity and Magnetism.-
2.3 Charges, Fields, and the Lorentz Force Law.-
2.4 Stationary Distributions of Charge.-
2.5 The Divergence of the Magnetic Field.-
2.6 Inconsistency with Galilean Relativity.-
2.7 The Limits of Galilean Invariance.-
2.8 Faraday's Law of Induction.-
2.9 The Field of Charges in Uniform Motion.-
2.10 Maxwell's Equations.-
2.11 The Continuity Equation.-
2.12 Conservation of Charge.-
2.13 Historical Note.-
3. The Propagation of Light.-
3.1 The Displacement Current.-
3.2 The Source-free Equations.-
3.3 The Wave Equation.-
3.4 Monochromatic Plane Waves.-
3.5 Polarization.-
3.6 Potentials.-
3.7 Gauge Transformations.-
3.8 Photons.-
3.9 Relativity and the Propagation of Light.-
3.10 The Michelson-Morley Experiment.-
4. Einstein's Special Theory of Relativity.-
4.1 Lorentz's Contraction.-
4.2 Operational Definitions of Distance and Time.-
4.3 The Relativity of Simultaneity.-
4.4 Bondi's fc-Factor.-
4.5 Time Dilation.-
4.6 The Two-dimensional Lorentz Transformation.-
4.7 Transformation of Velocity.-
4.8 The Lorentz Contraction.-
4.9 Composition of Lorentz Transformations.-
4.10 Rapidity.-
4.11 *The Lorentz and Poincaré Groups.-
5. Lorentz Transformations in Four Dimensions.-
5.1 Coordinates in Four Dimensions.-
5.2 Four-dimensional Coordinate Transformations.-
5.3 The Lorentz Transformation in Four Dimensions.-
5.4 The Standard Lorentz Transformation.-
5.5 The General Lorentz Transformation.-
5.6 Euclidean Space and Minkowski Space.-
5.7 Four-vectors.-
5.8 Temporal and Spatial Parts.-
5.9 The Inner Product.-
5.10 Classification of Four-vectors.-
5.11 Causal Structure of Minkowski Space.-
5.12 Invariant Operators.-
5.13 The Frequency Four-vector.-
5.14 * Affine Spaces and Covectors.-
6. Relative Motion.-
6.1 Transformations Between Frames.-
6.2 Proper Time.-
6.3 Four-velocity.-
6.4 Four-acceleration.-
6.5 Constant Acceleration.-
6.6 Continuous Distributions.-
6.7 *Rigid Body Motion.-
6.8 Visual Observation.-
7. Relativistic Collisions.-
7.1 The Operational Definition of Mass.-
7.2 Conservation of Four-momentum.-
7.3 Equivalence of Mass and Energy.-
8. Relativistic Electrodynamics.-
8.1 Lorentz Transformations of E and B.-
8.2 The Four-Current and the Four-potential.-
8.3 Transformations of E and B.-
8.4 Linearly Polarized Plane Waves.-
8.5 Electromagnetic Energy.-
8.6 The Four-momentum of a Photon.-
8.7 *Advanced and Retarded Solutions.-
9. *Tensors and Isomet ries.-
9.1 Affine Space.-
9.2 The Lorentz Group.-
9.3 Tensors.-
9.4 The Tensor Product.-
9.5 Tensors in Minkowski Space.-
9.6 Tensor Components.-
9.7 Examples of Tensors.-
9.8 One-parameter Subgroups.-
9.9 Isometries.-
9.10 The Riemann Sphere and Spinors.-Notes on Exercises.- Vector Calculus.