Cover image for Electromagnetic Origin of Quantum Theory and Light.
Electromagnetic Origin of Quantum Theory and Light.
Title:
Electromagnetic Origin of Quantum Theory and Light.
Author:
Grimes, Dale M.
ISBN:
9789812778284
Personal Author:
Physical Description:
1 online resource (465 pages)
Contents:
Contents -- Foreword -- Prologue -- 1. Classical Electrodynamics -- 1.1 Introductory Comments -- 1.2 Space and Time Dependence upon Speed -- 1.3 Four-Dimensional Space Time -- 1.4 Newton's Laws -- 1.5 Electrodynamics -- 1.6 The Field Equations -- 1.7 Accelerating Charges -- 1.8 The Maxwell Stress Tensor -- 1.9 Kinematic Properties of Fields -- 1.10 A Lemma for Calculation of Electromagnetic Fields -- 1.11 The Scalar Differential Equation -- 1.12 Radiation Fields in Spherical Coordinates -- 1.13 Electromagnetic Fields in a Box -- References -- 2. Selected Boundary Value Problems -- 2.1 Traveling Waves -- Scattering -- 2.2 Scattering of a Plane Wave by a Sphere -- 2.3 Ideal Spherical Scatterers -- Biconical Transmitting Antennas -- 2.4 General Comments -- 2.5 Fields -- 2.6 TEMMode -- 2.7 Boundary Conditions -- 2.8 The Defining Integral Equations -- 2.9 Solution of the Biconical Antenna Problem -- 2.10 Power -- 2.11 Field Expansion for y-Directed Exponential -- An Incoming Plane Wave -- 2.12 Incoming TE Fields -- 2.13 Incoming TM Fields -- 2.14 Exterior Fields Powers and Forces -- 2.15 The Cross Sections -- Biconical Receiving Antennas -- 2.16 General Comments -- 2.17 Fields of Receiving Antennas -- 2.18 Boundary Conditions -- 2.19 Zero Degree Solution -- 2.20 Non-Zero Degree Solutions -- 2.21 Surface Current Densities -- 2.22 Power -- References -- 3. Antenna Q -- 3.1 Instantaneous and Complex Power in Circuits -- 3.2 Instantaneous and Complex Power in Fields -- 3.3 Time Varying Power in Actual Radiation Fields -- 3.4 Comparison of Complex and Instantaneous Powers -- 3.5 Radiation Q -- 3.6 Chu's Q Analysis TM Fields -- 3.7 Chu's Q Analysis Exact for TM Fields -- 3.8 Chu's Q Analysis TE Field -- 3.9 Chu's Q Analysis Collocated TM and TE Modes -- 3.10 Q the Easy Way Electrically Small Antennas.

3.11 Q on the Basis of Time-Dependent Field Theory -- 3.12 Q of a Radiating Electric Dipole -- 3.13 Surface Pressure on Dipolar Source -- 3.14 Q of Radiating Magnetic Dipoles -- 3.15 Q of Collocated Electric and Magnetic Dipole Pair -- 3.16 Q of Collocated Perpendicular Electric Dipoles -- 3.17 Four Collocated Electric and Magnetic Dipoles and Multipoles -- 3.18 Numerical Characterization of Antennas -- 3.19 Experimental Characterization of Antennas -- 3.20 Q of Collocated Electric and Magnetic Dipoles: Numerical and Experimental Characterizations -- References -- 4. Quantum Theory -- 4.1 Electrons -- 4.2 Radiation Reaction Force -- 4.3 The Time-Independent Schrodinger Equation -- 4.4 The Uncertainty Principle -- 4.5 The Time-Dependent Schrodinger Equation -- 4.6 Quantum Operator Properties -- 4.7 Orthogonality -- 4.8 Electron Angular Momentum Central Force Fields -- 4.9 The Coulomb Potential Source -- 4.10 Hydrogen Atom Eigenfunctions -- 4.11 Perturbation Analysis -- 4.12 Non-Ionizing Transitions -- 4.13 Absorption and Emission of Radiation -- 4.14 Electric Dipole Selection Rules for One Electron Atoms -- 4.15 Electron Spin -- 4.16 Many-Electron Problems -- 4.17 Electron Photo Effects -- References -- 5. Photons -- 5.1 Power-Frequency Relationships -- 5.2 Length of the Wave Train and Radiation Q -- 5.3 Phase and Radial Dependence of Field Magnitude -- 5.4 Gain and Radiation Pattern -- 5.5 Kinematic Values of the Radiation -- 5.6 Telefields and Far Fields -- 5.7 Evaluation of Sum S12 on the Axes -- 5.8 Evaluation of Sums S22 and S32 on the Polar Axes -- 5.9 Evaluation of Sum S32 in the Equatorial Plane -- 5.10 Evaluation of Sum S22in the Equatorial Plane -- 5.11 The Axial Fields Summary -- 5.12 Infinite Radius Radiation Pattern -- 5.13 Self-Consistent Field Analysis -- 5.14 Power and Energy Exchange -- 5.15 The Wave Train.

5.16 Multipolar Moments -- 5.17 Field Stress on the Active Region -- 5.18 Summary -- References -- 6. Epilogue -- 6.1 Historic Background -- 6.2 Overview -- 6.3 The Radiation Scenario -- References -- Appendix -- A.l Introduction to Tensors -- A.2 Tensor Operations -- A.3 Tensor Symmetry -- A.4 Differential Operations on Tensor Fields -- A.5 Green's Function -- A.6 The Potentials -- A.7 Equivalent Sources -- A.8 A Series Resonant Circuit -- A.9 Q of Time Varying Systems -- A.10 Bandwidth -- A.l 1 Instantaneous and Complex Power in Radiation Fields -- A.12 Conducting Boundary Conditions -- A. 13 Uniqueness -- A.14 Spherical Shell Dipole -- Spherical Harmonics -- A.15 Gamma Functions -- A.16 Azimuth Angle Trigonometric Functions -- A.17 Zenith Angle Legendre Functions -- A. 18 Legendre Polynomials -- A. 19 Associated Legendre Functions -- A.20 Orthogonality -- A.21 Recursion Relationships -- A.22 Integrals of Legendre Functions -- A.23 Integrals of Fractional Order Legendre Functions -- Spherical Bessel Functions -- A.24 The First Solution Form -- A.25 The Second Solution Form -- A.26 Tables of Spherical Bessel Neumann and Hankel Functions -- A.27 Sums Over Spherical Bessel Functions -- Multipolar Sources -- A.28 Static Scalar Potentials -- A.29 Static Vector Potentials -- References -- Index.
Abstract:
This book presents a rigorous application of modern electromagnetic field theory to atomic theory. The historical view of quantum theory was developed before four major physical principles were known, or understood. These are (1) the standing energy that accompanies and encompasses electromagnetically active, electrically small volumes, (2) the power-frequency relationships in nonlinear systems, (3) the possible directivity of modal fields, and (4) electron nonlocality. The inclusion of these four effects yields a deterministic interpretation of quantum theory that is consistent with those of other sciences; the quixotic axioms of the historically accepted view of quantum theory are not needed. The new interpretation preserves the full applicability of electromagnetic field theory within atoms, showing that the status of all physical phenomena - including that within atoms - at any instant does completely specify the status an instant later. Contents: Classical Electrodynamics; Selected Boundary Value Problems; Antenna Q; Quantum Theory; Photons. Readership: Academics, researchers and graduate students in electrical and electronic engineering, quantum physics, theoretical physics, physical chemistry, plasma physics, statistical physics, thermodynamics and atomic physics.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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