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E-grāmata: Advances in Imaging and Electron Physics: Calculus of Finite Differences in Quantum Electrodynamics

Series edited by (Founder-President of the European Microscopy Society and Fellow, Microscopy and Optical Societies of America; member of the edi), (Retired, The Catholic University of America, Washington, DC, USA), (Humboldt University, Berlin, Germany)
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Advances in Imaging and Electron Physics: Calculus of Finite Differences in Quantum ElectrodynamicsPalielināt
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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

Papildus informācija

Volume 129 in this prestigious series!
PREFACE vii
FUTURE CONTRIBUTION ix
DEDICATION xiii
FOREWORD xv
LIST OF FREQUENTLY USED SYMBOLS xix
1 Introduction
1.1 Modified Maxwell Equations
1(6)
1.2 Summary of Results in Classical Physics
7(7)
1.3 Basic Relations for Quantum Mechanics
14(5)
1.4 Dipole Currents
19(10)
1.5 Infinitesimal and Finite Differences for Space and Time
29(4)
2 Differential Equations for the Pure Radiation Field
2.1 Pure Radiation Field
33(13)
2.2 Differential Solution for w(, B)
46(11)
2.3 Hamilton Function for Planar Wave
57(10)
2.4 Quantization of the Differential Solution
67(4)
2.5 Computer Plots for the Differential Theory
71(6)
3 Difference Equations for the Pure Radiation Field
3.1 Basic Difference Equations
77(7)
3.2 Time Dependent Solution of w(ζ, theta)
84(17)
3.3 Solution for Aev(ζ, theta)
101(10)
3.4 Magnetic Potential Amv(ζ, theta)
111(3)
3.5 Hamilton Function for Finite Differences
114(15)
3.6 Quantization of the Difference Solution
129(8)
3.7 Computer Plots for the Difference Theory
137(12)
4 Differential Equation for the Klein-Gordon Field
4.1 Klein-Gordon Equation with Magnetic Current Density
149(9)
4.2 Step Function Excitation
158(7)
4.3 Exponential Ramp Function Excitation
165(3)
4.4 Hamilton Function and Quantization
168(6)
4.5 Plots for the Differential Theory
174(6)
5 Difference Equation for the Klein-Gordon Field
5.1 Klein-Gordon Difference Equation
180(10)
5.2 Time Dependent Solution for Ψ(ζ, theta)
190(11)
5.3 Exponential Ramp Function as Boundary Condition
201(4)
5.4 Hamilton Function for Difference Equation
205(5)
5.5 Plots for the Difference Theory
210(7)
6 Appendix
6.1 Calculations for Section 2.2
217(20)
6.2 Inhomogeneous Difference Wave Equation
237(12)
6.3 Differential Derivation of Aev (ζ, theta)
249(8)
6.4 Calculations for Section 3.3
257(15)
6.5 Calculations for Section 3.4
272(10)
6.6 Calculations for Section 3.5
282(10)
6.7 Calculations for Section 4.4
292(7)
6.8 Calculations for Section 5.4
299(8)
References and Bibliography 307(4)
Index 311


Peter Hawkes obtained his M.A. and Ph.D (and later, Sc.D.) from the University of Cambridge, where he subsequently held Fellowships of Peterhouse and of Churchill College. From 1959 1975, he worked in the electron microscope section of the Cavendish Laboratory in Cambridge, after which he joined the CNRS Laboratory of Electron Optics in Toulouse, of which he was Director in 1987. He was Founder-President of the European Microscopy Society and is a Fellow of the Microscopy and Optical Societies of America. He is a member of the editorial boards of several microscopy journals and serial editor of Advances in Electron Optics.
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