Covariant Electrodynamics : A Concise Guide by John M. Charap (2011, Trade...

Description: Normal 0 false false false EN-US X-NONE X-NONE Covariant Electrodynamics, A Concise Guide by John Charap Paperback 164 Pages ISBN 9781421400150 Condition Is New, No Marks At All Seller's observations: The Mathematical Preliminaries is excellent, clear, easy to understand without going too quickly. Table of Content Preface Introduction Mathematical Preliminaries A Reminder of Vector Calculus Special Relativity Four-Vectors Covariant and Contravariant Vectors Tensors Time Dilation and the Lorentz-FitzGerald Contraction The Four-Velocity Energy and Momentum Plane Waves Exercises for Chapter Maxwell's Equations Our Starting Point The Experimental Background Coulomb's Law Absence of Magnetic Monopoles Ørsted and Ampere The Law of Biot and Savart The Displacement Current Faraday's Law of Induction The Lorentz Force Capacitors and Solenoids Energy Electromagnetic Waves Polarization Electromagnetism and Light Exercises for Chapter Behavior under Lorentz Transformations The Charge-Current Density Four-Vector The Lorentz Force The Potential Four-Vector Gauge Transformations The Field-Strength Tensor The Dual Field-Strength Tensor Exercises for Chapter Lagrangian and Hamiltonian Lagrange's Equations The Lagrangian for a Charged Particle The Hamiltonian for a Charged Particle The Lagrangian for the Electromagnetic Field The Hamiltonian for the Electromagnetic Field Noether's Theorem Exercises for Chapter Stress, Energy, and Momentum The Canonical Stress Tensor The Symmetrical Stress Tensor The Conservation Laws with Sources The Field as an Ensemble of Oscillators Exercises for Chapter Motion of a Charged Particle Fields from an Unaccelerated Particle Motion of a Particle in an External Field Uniform Static Magnetic Field Crossed E and B Fields Nonuniform Static B-Field Curved Magnetic Field Lines Exercises for Chapter Fields from Sources Introducing the Green's Function The Delta Function The Green's Function The Covariant Form for the Green's Function Exercises for Chapter Radiation Potentials from a Moving Charged Particle The Lienard-Wiechert Potentials Fields from an Unaccelerated Particle Fields from a Charged Oscillator The General Case The Multipole Expansion Electric Dipole Radiation Magnetic Dipole and Higher-Order Terms Motion in a Circle Radiation from Linear Accelerators Radiation from an Antenna Exercises for Chapter Media Dispersion Newton on the ""Phænomena of Colours"" Refraction The Boundary Conditions at the Interface Cerenkov Radiation Exercises for Chapter Scattering Scattering from a Small Scatterer Many Scatterers Scattering from the Sky The Born Approximation Rayleigh's Explanation for the Blue Sky Critical Opalescence Dispersion The Oscillator Model The High-Frequency Limit The Drude Model Dispersion Relations The Optical Theorem Epilogue Index

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