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Preface XIII
Introduction 1
The Meaning of Relativity 1
Weirdness of Light 10
A Steamer in the Stream 12
Problems 15
Light and Relativity 17
The Michelson Experiment 17
The Speed of Light and the Principle of Relativity 22
"Obvious" Does Not Always Mean "True!" 24
Light Determines Simultaneity 25
Light, Times, and Distances 29
The Lorentz Transformations 32
The Relativity of Simultaneity 38
A Proper Length and a Proper Time 41
Problems 43
The Velocities' Play 47
The Addition of Collinear Velocities 47
The Addition of Arbitrarily Directed Velocities 50
The Velocities' Play 53
Observable Manifestations 56
The Fizeau Experiment 56
Aberration of Light 60
Problems 62
Space-Time 65
Minkowski's World 65
Rotations in Space-Time (Representation in Euclidean Plane) 73
Lorentz Transformations as Rotations 81
What isHorizontal and What is Vertical? 87
General Lorentz Transformations 99
The Path Integrals 103
4-Vectors and Tensors 106
Problems 120
Relativity at Work I: Mechanics 125
4-Velocity 125
4-Acceleration 130
4-Momentum 132
Relativistic Angular Momentum 137
Force and Motion 141
Mass and Energy 151
Mechanics From the Least Action 170
Relativistic Motion in Coulomb's Field 176
Problems 185
Relativity at Work II: Electromagnetism and Optics 191
Electric Field and Something Else (The Origin of Magnetic Field) 191
Magnetic Field and Something Else... 205
Is Electric Charge Invariant? (The Subtleties of "Neutrality") 209
Maxwell's Equations 218
Lenz's Law 225
4-Potential, Gauge Transformations, and Gauge Invariance 228
Electrodynamics and The Principle of the Least Action 233
Electrodynamics in Tensor Notations 239
Running Waves 244
The Relativistic Doppler Effect I 247
The Origin of Light 248
Aberration of Light - 2 252
Why Do Droplets Sparkle? Or Can We Trap the Light in a Droplet? 256
Problems 263
Relativistic Paradoxes 267
Seeing and Observing (on the Appearance of Fast-Moving Objects) 267
Can We See the Relativistic Length Contraction? 273
The Lorentz Contraction Paradox 280
Predicaments of Relativistic Train 283
The Dynamics of Relativistic Length Contraction 298
The Conveyor Belt Paradox 317
What is Rigid in Relativity? (What Constitutes Deformation?) 323
The Twin Paradox 334
The Three Friends' Paradox 344
Problems 348
Miracles of a Spinning World 351
The Ehrenfest Paradox 351
Circumnavigations with the Atomic Clocks 365
Surprises of the Rotland 375
Photons' Races in a Centrifuge 376
The Thomas Precession 387
Problems 394
Theory of Relativity is the Theory of Absoluteness 397
What Is Relative and What Is Absolute 397
The Speed of Light and the Invariant Speed 398
Space-Time Intervals 403
Relativistic Doppler Effect II 407
Relative Is Real 413
Problems 422
Relativity at Work III: Quantum Mechanics 425
Basic Ideas of Quantum Mechanics 425
Relativistic QM Indeterminacy 454
Relativistic Wave Equations 461
The Klein-Gordon Equation 461
Dirac's Equation 469
Relativistic Doppler Effect III: A Child of Relativity and Quantum Mechanics 477
Field-Particle Interactions: The Compton Effect 482
Problems 493
Relativity and Causality 497
Space-Time and Causality 497
Tachyons and Tardyons 500
The Tolman Paradox 509
Tachyons and Causality 516
Wave Packet Propagation and Position Measurements 523
Superluminal Quantum Tunneling 527
Wave Front Propagation 537
What Constitutes a Signal? 541
Direct Signaling Into the Past 550
The Mystery of Quantum Telecommunication 558
The "No Cloning" Theorem 564
Problems 569
Applied Relativity 571
Relativistic Jet Propulsion: A "Star Trek" Cruiser 571
Principles of Design and Functioning of Particle Accelerators 580
Problems 593
A Bit of General Relativity 595
Basic Ideas of GR 595
Kinematics of GR 603
State Function and the Continuity Equation 615
Representation of Observables by Operators 617
The Pauli Matrices 619
Dimensionality of Dirac's Matrices 621
Optical Barriers for a Photon 623
Cause and Effect 627
Permittivity and Refractive Index 637
References 643
Index 647
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Add Special Relativity and How It Works, Based on his successful work Special Relativity and Motions Faster than Light, Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to ma, Special Relativity and How It Works to the inventory that you are selling on WonderClubX
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Add Special Relativity and How It Works, Based on his successful work Special Relativity and Motions Faster than Light, Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to ma, Special Relativity and How It Works to your collection on WonderClub |