Advances in Imaging and Electron Physics: Calculus of Finite Differences in Quantum Electrodynamics
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Table of contents
- Copyright Pageiv
- Contentsv
- Prefacevii
- Future Contributionix
- Dedicationxiii
- Forewordxv
- List of Frequently Used Symbolsxix
- Chapter 1. Introduction1
- 1.1 Modified Maxwell Equations1
- 1.2 Summary of Results in Classical Physics7
- 1.3 Basic Relations for Quantum Mechanics14
- 1.4 Dipole Currents19
- 1.5 Infinitesimal and Finite Differences for Space and Time29
- Chapter 2. Differential Equations for the Pure Radiation Field33
- 2.1 Pure Radiation Field33
- 2.2 Differential Solution for w (Ç,ø)46
- 2.3 Hamilton Function for PlanarWave57
- 2.4 Quantization of the Differential Solution67
- 2.5 Computer Plots for the Differential Theory71
- Chapter 3. Difference Equations for the Pure Radiation Field77
- 3.1 Basic Difference Equations77
- 3.2 Time Dependent Solution of Ve (Ç,ø)84
- 3.3 Solution for Aev (Ç,ø)101
- 3.4 Magnetic Potential Amv (Ç,ø)111
- 3.5 Hamilton Function for Finite Differences114
- 3.6 Quantization of the Difference Solution129
- 3.7 Computer Plots for the Difference Theory137
- Chapter 4. Differential Equation for the Klein-Gordon Field149
- 4.1 Klein-Gordon Equation with Magnetic Current Density149
- 4.2 Step Function Excitation158
- 4.3 Exponential Ramp Function Excitation165
- 4.4 Hamilton Function and Quantization168
- 4.5 Plots for the Differential Theory174
- Chapter 5. Difference Equation for the Klein-Gordon Field180
- 5.1 Klein-Gordon Difference Equation180
- 5.2 Time Dependent Solution for Psi (Ç,ø)190
- 5.3 Exponential Ramp Function as Boundary Condition201
- 5.4 Hamilton Function for Difference Equation205
- 5.5 Plots for the Difference Theory210
- Chapter 6. Appendix217
- 6.1 Calculations for Section 2.2217
- 6.2 Inhomogeneous Difference Wave Equation237
- 6.3 Differential Derivation of Aev (Ç,ø)249
- 6.4 Calculations for Section 3.3257
- 6.5 Calculations for Section 3.4272
- 6.6 Calculations for Section 3.5282
- 6.7 Calculations for Section 4.4292
- 6.8 Calculations for Section 5.4299
- References and Bibliography307
- Index311
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
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