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Collective Electrodynamics : Quantum Foundations of Electromagnetism - Carver A. Mead

Collective Electrodynamics

Quantum Foundations of Electromagnetism

Paperback Published: 2nd September 2002
ISBN: 9780262632607
Number Of Pages: 159
For Ages: 18+ years old

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In this book Carver Mead offers a radically new approach to the standard problems of electromagnetic theory. Motivated by the belief that the goal of scientific research should be the simplification and unification of knowledge, he describes a new way of doing electrodynamics--collective electrodynamics--that does not rely on Maxwell's equations, but rather uses the quantum nature of matter as its sole basis. Collective electrodynamics is a way of looking at how electrons interact, based on experiments that tell us about the electrons directly. (As Mead points out, Maxwell had no access to these experiments.)The results Mead derives for standard electromagnetic problems are identical to those found in any text. Collective electrodynamics reveals, however, that quantities that we usually think of as being very different are, in fact, the same--that electromagnetic phenomena are simple and direct manifestations of quantum phenomena. Mead views his approach as a first step toward reformulating quantum concepts in a clear and comprehensible manner.The book is divided into five sections: magnetic interaction of steady currents, propagating waves, electromagnetic energy, radiation in free space, and electromagnetic interaction of atoms. In an engaging preface, Mead tells how his approach to electromagnetic theory was inspired by his interaction with Richard Feynman.

Personal Preface
Introduction: Foundations of Physicsp. 1
Magnetic Interaction of Steady Currentsp. 9
Model Systemp. 9
Matterp. 11
Electrodynamicsp. 13
Couplingp. 15
Integral and Differential Formsp. 18
Electrodynamics Momentump. 20
Forces of Currentsp. 22
Multiturn Coilsp. 23
Total Momentump. 25
Current Distributionp. 26
Current in a Wirep. 27
Propagating Wavesp. 31
A Brief Historyp. 31
Four-Vectorsp. 35
The Riemann-Sommerfeld Equationp. 37
Model Systemp. 39
General Boundary Conditionp. 40
Coaxial Boundary Conditionp. 40
Current-Voltage Relationp. 42
Electron Interactionp. 43
Propagation of Step Functionp. 44
Waveguidesp. 46
Electromagnetic Energyp. 49
Energy in Electormagnetic Systemsp. 49
Elementary Examplesp. 52
Inductorp. 52
Capacitorp. 53
Resonatorp. 53
Energy of Propagating Solutionp. 55
Characteristic Impedancep. 55
Finite Coaxial Linep. 56
Reflection and Transmissionp. 58
Infinite-Response Solutionsp. 61
Local Conservation of Energyp. 63
Lorentz Transformation Revisitedp. 65
The Lorentz Transformationp. 67
Resistance in Coherent Systemsp. 69
Radiation in Free Spacep. 73
Integral and Differential Four-Vector Formsp. 73
Retarded and Advanced Potentialsp. 75
Thermodynamicsp. 79
Radiation Dampingp. 80
Coupled Loopsp. 81
Resonatorp. 84
Two Coupled Resonatorsp. 85
Energy Couplingp. 87
Interaction with Arbitrary Phasep. 88
Generalized Energy Transferp. 90
Random Universep. 91
Cosmological Properties of Radiation Dampingp. 93
Electric Dipolep. 95
Coupled Electric Dipolesp. 95
General Electromagnetic Couplingp. 97
Radiation Patternp. 98
Electromagnetic Interaction of Atomsp. 103
The Two-State Systemp. 104
Transitionsp. 106
Transitions in Macroscopic Quantum Resonatorp. 107
Radiation Transfer Between Atomsp. 109
The Fermi Spherep. 115
Monolithic Solidp. 115
The k-Latticep. 116
Fermi Spherep. 116
Ring Geometryp. 117
Collective Statesp. 118
Classes of Solidsp. 118
Epiloguep. 119
Referencesp. 125
Indexp. 131
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780262632607
ISBN-10: 0262632608
Series: The MIT Press
Audience: Professional
For Ages: 18+ years old
Format: Paperback
Language: English
Number Of Pages: 159
Published: 2nd September 2002
Publisher: MIT Press Ltd
Country of Publication: US
Dimensions (cm): 22.9 x 15.3  x 0.9
Weight (kg): 0.23