{"product_id":"modern-special-relativity-a-students-guide-with-discussions-and-examples-9783030543518","title":"Modern Special Relativity: A Student's Guide with","description":"\u003ch2\u003eBook Synopsis\u003c\/h2\u003e\u003cp\u003eThis book presents Special Relativity in a language accessible to students while avoiding the burdens of geometry, tensor calculus, space-time symmetries, and the introduction of four vectors. The search for clarity in the fundamental questions about Relativity, the discussion of historical developments before and after 1905, the strong connection to current research topics, many solved examples and problems, and illustrations of the material in colloquial discussions are the most significant and original assets of this book. Importantly for first-time students, Special Relativity is presented such that nothing needs to be called paradoxical or apparent; everything is explained.\u003c\/p\u003e  \u003cp\u003eThe content of this volume develops and builds on the book \u003ci\u003eRelativity Matters\u003c\/i\u003e (Springer, 2017). However, this presentation of Special Relativity does not require 4-vector tools. The relevant material has been extended and reformulated, with additional examples and clarifications.\u003c\/p\u003e  \u003cp\u003eThis introduction of Special Relativity offers conceptual insights reaching well beyond the usual method of teaching relativity. It considers relevant developments after the discovery of General Relativity (which itself is not presented), and advances the reader into contemporary research fields. This presentation of Special Relativity is connected to present day research topics in particle, nuclear, and high intensity pulsed laser physics and is complemented by the current cosmological perspective. The conceptual reach of Special Relativity today extends significantly further compared even to a few decades ago.\u003c\/p\u003e  As the book progresses, the qualitative and historical introduction turns into a textbook-style presentation with many detailed results derived in an explicit manner. The reader reaching the end of this text needs knowledge of classical mechanics, a good command of elementary algebra, basic knowledge of calculus, and introductory know-how of electromagnetism.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003ch2\u003eTable of Contents\u003c\/h2\u003eI Space-Time, Light and the aether 1\u003cbr\u003e1 What is (Special) Relativity? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.1 Principle of Relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.2 Time, a 4th coordinate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.3 Path toward Lorentz coordinate transformations . . . . . . . . . . . . . . 101.4 Highlights: How did relativity happen? . . . . . . . . . . . . . . . . . . . 13\u003cbr\u003e2 Light and the aether . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152.1 Measuring space and time: SI unit system . . . . . . . . . . . . . . . . . . 152.2 Speed of light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.3 Essay: aether and Special Relativity . . . . . . . . . . . . . . . . . . . . . 25\u003cbr\u003e3 Material Bodies in SR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333.1 The Michelson-Morley Experiment . . . . . . . . . . . . . . . . . . . . . . 333.2 Body contraction and time dilation . . . . . . . . . . . . . . . . . . . . . . 363.3 Is the Lorentz-FitzGerald body contraction measurable? . . . . . . . . . . 383.4 Experiments require understanding of body contraction . . . . . . . . . . 403.5 Resolving misunderstandings of SR . . . . . . . . . . . . . . . . . . . . . . 42\u003cbr\u003eII Time Dilation, and Lorentz-Fitzgerald Body Contraction 47\u003cbr\u003e\u003cbr\u003e4 Time Dilation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494.1 Proper time of a traveler . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494.2 Relativistic light-clock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524.3 Talking about time (dilation) . . . . . . . . . . . . . . . . . . . . . . . . . 56\u003cbr\u003e5 The Lorentz-FitzGerald Body Contraction . . . . . . . . . . . . . . . . . . . . . . 615.1 Light-clock moving parallel to light path . . . . . . . . . . . . . . . . . . . 615.2 Body contraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635.3 Arbitrary orientation of the light clock . . . . . . . . . . . . . . . . . . . . 66\u003cbr\u003eIII The Lorentz Transformation 73\u003cbr\u003e6 Relativistic Coordinate Transformation . . . . . . . . . . . . . . . . . . . . . . . 756.1 Derivation of the Lorentz coordinate transformation . . . . . . . . . . . . 756.2 Explicit form of the Lorentz transformation . . . . . . . . . . . . . . . . . 796.3 The nonrelativistic Galilean limit . . . . . . . . . . . . . . . . . . . . . . . 846.4 The inverse Lorentz coordinate transformation . . . . . . . . . . . . . . . 85\u003cbr\u003e7 Some Consequences of Lorentz Transformation . . . . . . . . . . . . . . . . . . . 887.1 Invariance of proper time . . . . . . . . . . . . . . . . . . . . . . . . . . . 887.2 Relativistic addition of velocities . . . . . . . . . . . . . . . . . . . . . . . 927.3 Two Lorentz coordinate transformations in sequence . . . . . . . . . . . . 997.4 Rapidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102\u003cbr\u003eIV Measurement 111\u003cbr\u003e8 Time Measurement and Lorentz Transformation . . . . . . . . . . . . . . . . . . 1138.1 Graphic representation of Lorentz Transformation . . . . . . . . . . . . . 1138.2 Time dilation and simultaneity . . . . . . . . . . . . . . . . . . . . . . . . 114\u003cbr\u003e9 Methods of Measuring Spatial Separation . . . . . . . . . . . . . . . . . . . . . . 1199.1 Introductory remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1199.2 Determination of spatial separation . . . . . . . . . . . . . . . . . . . . . . 1209.3 Light illumination emitted in the rest-frame of the observer . . . . . . . . 1239.4 Train in the tunnel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126\u003cbr\u003e10 The Bell Rockets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13010.1 Rockets connected by a thread . . . . . . . . . . . . . . . . . . . . . . . . 13010.2 The thread breaks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13210.3 Lorentz-FitzGerald body contraction measured . . . . . . . . . . . . . . . 133\u003cbr\u003eV Space, Time, Doppler Shift 139\u003cbr\u003e11 The Light-Cone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14111.1 The future . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14111.2 The past . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144\u003cbr\u003e12 Space-time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14912.1 Timelike and spacelike event separation . . . . . . . . . . . . . . . . . . . 14912.2 Time dilation revisited . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15312.3 Essay: Quantum entanglement and causality . . . . . . . . . . . . . . . . 156\u003cbr\u003e13 SR-Doppler Shift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16213.1 Introducing the nonrelativistic Doppler shift . . . . . . . . . . . . . . . . . 16213.2 Misunderstanding of the relativistic Doppler eect . . . . . . . . . . . . . 16413.3 SR-Aberration of light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16713.4 SR-Doppler shift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173\u003cbr\u003eVI Mass, Energy, Momentum 177\u003cbr\u003e14 Mass and Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17914.1 Energy of a body at rest . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17914.2 Relativistic energy of a moving body . . . . . . . . . . . . . . . . . . . . . 18214.3 Mass of a body . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183\u003cbr\u003e15 Particle Momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18615.1 Relation between energy and momentum . . . . . . . . . . . . . . . . . . 18615.2 Particle rapidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193\u003cbr\u003e16 Generalized Mass-Energy Equivalence . . . . . . . . . . . . . . . . . . . . . . . . 20116.1 Where does energy come from? . . . . . . . . . . . . . . . . . . . . . . . . 20116.2 Mass equivalence for kinetic energy in a gas . . . . . . . . . . . . . . . . . 20216.3 Potential energy mass equivalence . . . . . . . . . . . . . . . . . . . . . . 20316.4 Atomic mass defect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20516.5 Rotational energy mass equivalence . . . . . . . . . . . . . . . . . . . . . 20616.6 Chemical energy mass defect . . . . . . . . . . . . . . . . . . . . . . . . . 20716.7 Nuclear mass defect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20816.8 Origin of energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210\u003cbr\u003eVII Collisions, Decays 213\u003cbr\u003e17 Preferred Frame of Reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21517.1 The center of momentum frame (CM-Frame) . . . . . . . . . . . . . . . . 21517.2 The Lorentz transformation to the CM-frame . . . . . . . . . . . . . . . . 21717.3 Particle decay in the CM-frame . . . . . 228 . . . . . . . . . . . . . . . . . . . 22017.4 Decay energy balance in CM-frame . . . . . . . . . . . . . . . . . . . . . . 22217.5 Decay of a body in flight . . . . . . . . . . . . . . . . . . . . . . . . . . . 223\u003cbr\u003e18 Particle Reactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22818.1 Elastic two body reactions . . . . . . . . . . . . . . . . . . . . . . . . . . . 22818.2 Compton Scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23018.3 Elastic bounce from a moving wall . . . . . . . . . . . . . . . . . . . . . . 23318.4 Inelastic two-body reaction threshold . . . . . . . . . . . . . . . . . . . . . 23718.5 Energy available in a two body collision . . . . . . . . . . . . . . . . . . . 24118.6 Inelastic collision and particle production . . . . . . . . . . . . . . . . . . 247\u003cbr\u003eVIII SR-Tests \u0026amp; Open Questions 251\u003cbr\u003e19 Tests of Special Relativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25319.1 Overview: Testing SR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25319.2 The Michelson-Morley experiment today . . . . . . . . . . . . . . . . . . . 25419.3 How constant is the speed of light? . . . . . . . . . . . . . . . . . . . . . . 25519.4 Tests of SR material body properties . . . . . . . . . . . . . . . . . . . . . 25619.5 Doppler effect and tests of the Lorentz coordinate transformation . . . . . 25819.6 Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260\u003cbr\u003e20 Acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26420.1 Accelerated motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26420.2 Can there be acceleration in SR? . . . . . . . . . . . . . . . . . . . . . . . 26520.3 Evidence for the existence of acceleration . . . . . . . . . . . . . . . . . . 26620.4 Small and large acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . 26820.5 Achieving strong acceleration . . . . . . . . . . . . . . . . . . . . . . . . . 269\u003cbr\u003eIX Lorentz Force and Particle Motion 275\u003cbr\u003e21 Acceleration and Lorentz Force . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27721.1 Newton's second Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27721.2 Motion in magnetic and electric elds . . . . . . . . . . . . . . . . . . . . 28021.3 Variational principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28721.4 Electron Coulomb orbits . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291\u003cbr\u003e22 Electrons Riding a Plane Wave . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29822.1 Fields and potentials for a plane wave . . . . . . . . . . . . . . . . . . . . 29822.2 Role of conservation laws . . . . . . . . . . . . . . . . . . . . . . . . . . . 30222.3 Surng the plane wave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305\u003cbr\u003eX Space Travel 311\u003cbr\u003e23 Spaceship Travel in the Milky Way . . . . . . . . . . . . . . . . . . . . . . . . . . 31323.1 Space travel with constant acceleration . . . . . . . . . . . . . . . . . . . 31323.2 The eect of time dilation . . . . . . . . . . . . . . . . . . . . . . . . . . . 31523.3 How far can we travel? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31523.4 Variable acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319\u003cbr\u003e24 Relativistic Rocket equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32224.1 Nonrelativistic rocket equation . . . . . . . . . . . . . . . . . . . . . . . . 32224.2 Relativistic rocket equation . . . . . . . . . . . . . . . . . . . . . . . . . . 32324.3 Energy of relativistic rocket . . . . . . . . . . . . . . . . . . . . . . . . . . 325","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":50578713870679,"sku":"9783030543518","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030543518.jpg?v=1791480498","url":"https:\/\/bookcurl.com\/products\/modern-special-relativity-a-students-guide-with-discussions-and-examples-9783030543518","provider":"Book Curl","version":"1.0","type":"link"}