Electrodynamics : Chicago Lectures in Physics CLP - Fulvio Melia

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Electrodynamics

By: Fulvio Melia

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Paperback | 15 September 2001 | Edition Number 1

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264 Pages

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2.28 x 1.68 x 0.16

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Practically all of modern physics deals with fieldsâ"functions of space (or spacetime) that give the value of a certain quantity, such as the temperature, in terms of its location within a prescribed volume. Electrodynamics is a comprehensive study of the field produced by (and interacting with) charged particles, which in practice means almost all matter.

Fulvio Melia's Electrodynamics offers a concise, compact, yet complete treatment of this important branch of physics. Unlike most of the standard texts, Electrodynamics neither assumes familiarity with basic concepts nor ends before reaching advanced theoretical principles. Instead this book takes a continuous approach, leading the reader from fundamental physical principles through to a relativistic Lagrangian formalism that overlaps with the field theoretic techniques used in other branches of advanced physics. Avoiding unnecessary technical details and calculations, Electrodynamics will serve both as a useful supplemental text for graduate and advanced undergraduate students and as a helpful overview for physicists who specialize in other fields.

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Preface	p. ix
Introduction	p. 1
The Physical Basis of Maxwell's Equations	p. 1
Maxwell's Equations in Matter	p. 14
The Mathematical Structure of Electrodynamics	p. 17
Electrostatic Phenomena	p. 17
Magnetostatic Phenomena	p. 18
Wave Phenomena	p. 19
The General Case	p. 21
The Mathematical Apparatus	p. 21
Time-Independent Fields	p. 25
Electrostatics	p. 25
Method 1: Guesses and Symmetries	p. 26
Method 2: The Green Function	p. 28
Expansions with Orthonormal Functions	p. 42
Magnetostatics	p. 50
Method 1: The Magnetic Scalar Potential	p. 52
Method 2: The Magnetic Vector Potential	p. 57
Method 3: Hard Ferromagnets	p. 58
General Properties of Maxwell's Equations	p. 61
Time-Varying Fields	p. 61
The Time-Dependent Green Function	p. 63
Conservation Laws	p. 68
Field Energy Density and Poynting's Theorem	p. 68
Conservation of Linear Momentum	p. 71
The Maxwell Stress Tensor	p. 73
Conservation of Angular Momentum	p. 74
Electromagnetic Waves and Radiation	p. 77
Electromagnetic Waves	p. 77
Polarization and Stokes Parameters	p. 80
Reflection and Refraction	p. 83
Time Harmonic Fields in Matter	p. 88
Wave Guides	p. 93
Radiation	p. 98
Point Currents and Lienard-Wiechert Potentials	p. 98
The Radiation Fields	p. 102
Simple Radiating Systems	p. 107
A Need For The Special Theory of Relativity	p. 115
Basic Principles and Transformations	p. 115
Mathematical Structure of Four-Dimensional Spacetime	p. 124
Lorentz Transformation Properties of Physical Quantities	p. 128
Lorentz Transformation of Macroscopic Electrodynamics	p. 133
Stress-Energy Momentum Tensor and Conservation Laws	p. 139
The Lagrangian Formulation Of Electrodynamics	p. 145
Action Principles in Classical Field Theories	p. 145
Relativistic Lagrangians of Point-Charge Motions	p. 150
The Field Lagrangian	p. 153
Invariances and Conservation Laws (Noether's Theorem)	p. 156
Relativistic Treatment Of Radiation	p. 161
The Green Function in Four-Dimensional Spacetime	p. 162
Lienard-Wiechert Potentials and Fields for a Point Charge	p. 169
Angular Distribution of the Emitted Radiation	p. 173
Bremsstrahlung Radiation	p. 176
Radiative Motions of a Point Charge	p. 183
Radiation Damping and the Relativistic Lorentz-Dirac Equation	p. 188
Special Topics	p. 195
Time-Independent Multipole Fields	p. 195
Multipole Expansion of Time-Dependent Fields	p. 199
Collisions between Charged Particles	p. 206
Magnetohydrodynamics	p. 210
Alfven Waves and Particle Acceleration	p. 215
Synchrotron Emission	p. 218
Echoes of the Big Bang	p. 227
Cosmic Superluminal Sources	p. 233
Polarized Radiation from the Black Hole at the Galactic Center	p. 235
References	p. 239
Index	p. 245
Table of Contents provided by Syndetics. All Rights Reserved.

Electrodynamics

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