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Advances in Imaging and Electron Physics Volume 129 : Calculus of Finite Differences in Quantum Electrodynamics - Beate Meffert

Advances in Imaging and Electron Physics Volume 129

Calculus of Finite Differences in Quantum Electrodynamics

Hardcover

Published: 1st November 2003
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Among the subjects reviewed in these Advances, the properties and computation of electromagnetic fields have been considered on several occasions. In particular, the early work of H.F. Harmuth on Maxwell's equations, which was highly controversial at the time, formed a supplement to the series
This volume, unlike previous volumes in the series concentrates solely on the research of professors' Harmuth and Meffert.
These studies raise important and fundamental questions concerning some of the basic areas of physics: electromagnetic theory and quantum mechanics. They deserve careful study and reflection for although the authors do not attempt to provide the definitive answer to the questions, their work is undoubtedly a major step towards such an answer. This volume essential reading for those researchers and academics working applied mathematicians or theoretical physics
Unlike previous volumes, this book concentrates solely on the new research of professors Harmuth and Meffert
Raises important and fundamental questions concerning electromagnetism theory and quantum mechanics
Provides the steps in finding answers for the highly debated questions

Preface
Future Contribution
Dedication
Foreword
List of Frequently Used Symbols
Introduction
Modified Maxwell Equationsp. 1
Summary of Results in Classical Physicsp. 7
Basic Relations for Quantum Mechanicsp. 14
Dipole Currentsp. 19
Infinitesimal and Finite Differences for Space and Timep. 29
Differential Equations for the Pure Radiation Field
Pure Radiation Fieldp. 33
Differential Solution for [omega]([zeta],[theta])p. 46
Hamilton Function for Planar Wavep. 57
Quantization of the Differential Solutionp. 67
Computer Plots for the Differential Theoryp. 71
Difference Equations for the Pure Radiation Field
Basic Difference Equationsp. 77
Time Dependent Solution of V[subscript e]([zeta],[theta])p. 84
Solution for A[subscript ev]([zeta],[theta])p. 101
Magnetic Potential A[subscript mv]([zeta],[theta])p. 111
Hamilton Function for Finite Differencesp. 114
Quantization of the Difference Solutionp. 129
Computer Plots for the Difference Theoryp. 137
Differential Equation for the Klein-Gordon Field
Klein-Gordon Equation with Magnetic Current Densityp. 149
Step Function Excitationp. 158
Exponential Ramp Function Excitationp. 165
Hamilton Function and Quantizationp. 168
Plots for the Differential Theoryp. 174
Difference Equation for the Klein-Gordon Field
Klein-Gordon Difference Equationp. 180
Time Dependent Solution for [Psi]([zeta],[theta])p. 190
Exponential Ramp Function as Boundary Conditionp. 201
Hamilton Function for Difference Equationp. 205
Plots for the Difference Theoryp. 210
Appendixp. 217
References and Bibliographyp. 307
Indexp. 311
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780120147717
ISBN-10: 0120147718
Series: Advances in Imaging & Electron Physics : Book 129
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 312
Published: 1st November 2003
Publisher: ACADEMIC PR INC
Country of Publication: US
Dimensions (cm): 23.57 x 16.46  x 2.03
Weight (kg): 0.59