Special relativity a heuristic approach /

Main Author: Hassani, Sadri,
Other Authors: ScienceDirect (Online service)
Format: eBook
Language: English
Published: Amsterdam, Netherlands : Elsevier, 2017.
Physical Description: 1 online resource (xix, 360 pages) : illustrations.
Subjects:
Item Description: Includes bibliographical references and index.
Front Cover; Special Relativity; Copyright; Contents; Preface; List of Symbols, Phrases, and Acronyms; Note to the Reader; 1 Qualitative Relativity; 1.1 It Began With Maxwell; 1.1.1 Einstein and Signal Velocity; 1.2 Relativity of Simultaneity; 1.2.1 Simultaneity in a Single RF; 1.2.2 Simultaneity in Different RFs; 1.3 Relativity of Length; 1.4 Problems; 2 Relativity of Time and Space; 2.1 Time Dilation; 2.1.1 Proper Time; 2.2 Length Contraction; 2.3 Relativisticity; 2.4 The Twin Paradox; 2.5 Problems; 3 Lorentz Transformation; 3.1 ""Derivation"" of Euclidean Distance.
3.1.1 Coordinate Transformation3.2 Spacetime Distance; 3.3 Lorentz Transformation; 3.4 Examples of the Use of LT; 3.5 Relativistic Law of Addition of Velocities; 3.6 Problems; 4 Spacetime Geometry; 4.1 Plane Spacetime Geometry; 4.1.1 Events and Worldlines; 4.1.2 Light Cone; 4.2 Rules of Spacetime Geometry; 4.2.1 Invariant Distance; 4.2.2 The Rules; 4.3 Examples of Spacetime Diagrams; 4.3.1 Simultaneity Revisited; 4.3.2 The Train and the Tunnel; 4.3.3 The Doppler Effect; 4.3.4 Time Travel?; 4.4 Lorentz Transformation Revisited; 4.4.1 Lorentz Transformation and Time Travel.
4.5 Curved Worldlines4.5.1 The Spacetime Triangle Inequality; 4.5.2 The Twin Paradox Revisited; 4.6 Problems; 5 Spacetime Momentum; 5.1 Spacetime Velocity; 5.2 Spacetime Momentum; 5.2.1 Relativistic Energy; 5.2.2 No Mass at Light Speed; 5.2.3 Invariant Length of Spacetime Momentum; 5.2.4 No Velocity-Dependent Mass; 5.3 Conservation of Momentum; 5.3.1 The Classical Case; 5.3.2 The Relativistic Case; 5.4 Problems; 6 Relativity in Four Dimensions; 6.1 Four-Vectors; 6.2 Lorentz Transformation in 4D; 6.3 General Velocity Addition Formula; 6.3.1 Aberration; Aberration of Starlight.
6.4 General Doppler Effect6.5 Global Positioning System; 6.6 Four-Velocity; 6.7 Four-Momentum; 6.8 Second Law of Motion; 6.8.1 Four-Acceleration; 6.8.2 Four-Force; 6.8.3 Weirdness of Velocity-Dependent Mass; 6.9 Problems; 7 Relativistic Photography; 7.1 History; 7.2 Physics of Photography; 7.3 Photograph of Two Points; 7.4 Photograph of a Rod; 7.5 Photograph of a Cube; 7.5.1 Capturing Length Contraction With a Camera; 7.6 Photograph of a Sphere at the Origin; 7.6.1 Cone Construction via Aberration Formula; 7.6.2 Cone Construction via Relativistic LAV.
7.6.3 Cone Construction via LT of Emission Events7.7 Photograph of a Sphere off the Origin; 7.7.1 Stationary Sphere; 7.7.2 Moving Sphere; 7.8 Problems; 8 Relativistic Interactions; 8.1 Center of Mass and Lab Frames; 8.1.1 Lorentz Transformation of CM; 8.2 Two-Particle Collision; 8.2.1 Minimum Two-Particle Production Energy; 8.2.2 Minimum Multi-Particle Production Energy; 8.3 Decays; 8.4 Special Relativity, Spin, and Antimatter; 8.4.1 Dirac Equation; 8.4.2 Discovery of Antimatter; 8.5 Problems; 9 Interstellar Travel; 9.1 Massive Particle Propulsion; 9.2 Photon Propulsion.
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Physical Description: 1 online resource (xix, 360 pages) : illustrations.
Bibliography: Includes bibliographical references and index.
ISBN: 9780128104248
0128104244