The Electromagnetic Origin of Quantum Theory and Light

by Grimes, Dale M.; Grimes, Craig A.

• ISBN13: 9789810247850
• ISBN10: 9810247850
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: World Scientific Pub Co Inc

Summary

Presents a rigorous application of modern electromagnetic field theory to atomic theory.

Table of Contents

Foreword	v
Prologue	xiii
Classical Electrodynamics	1	(36)
Introductory Comments	1	(1)
Space and Time Dependence upon Speed	2	(3)
Four-Dimensional Space Time	5	(2)
Newton's Laws	7	(2)
Electrodynamics	9	(3)
The Field Equations	12	(4)
Accelerating Charges	16	(1)
The Maxwell Stress Tensor	17	(5)
Kinematic Properties of Fields	22	(2)
A Lemma for Calculation of Electromagnetic Fields	24	(2)
The Scalar Differential Equation	26	(4)
Radiation Fields in Spherical Coordinates	30	(4)
Electromagnetic Fields in a Box	34	(3)
References	36	(1)
Selected Boundary Value Problems	37	(76)
Traveling Waves	37	(3)
Scattering	40	(1)
Scattering of a Plane Wave by a Sphere	40	(7)
Ideal Spherical Scatterers	47	(5)
Biconical Transmitting Antennas	52	(1)
General Comments	52	(2)
Fields	54	(3)
TEM Mode	57	(3)
Boundary Conditions	60	(5)
The Defining Integral Equations	65	(3)
Solution of the Bioconical Antenna Problem	68	(7)
Power	75	(3)
Field Expansion for y-Directed Exponential	78	(4)
An Incoming Plane Wave	82	(1)
Incoming TE Fields	82	(1)
Incoming TM Fields	83	(3)
Exterior Fields, Powers, and Forces	86	(5)
The Cross Sections	91	(4)
Biconical Receiving Antennas	95	(1)
General Comments	95	(2)
Fields of Receiving Antennas	97	(2)
Boundary Conditions	99	(4)
Zero Degree Solution	103	(2)
Non-Zero Degree Solutions	105	(1)
Surface Current Densities	106	(1)
Power	107	(6)
References	111	(2)
Antenna Q	113	(78)
Instantaneous and Complex Power in Circuits	113	(4)
Instantaneous and Complex Power in Fields	117	(2)
Time Varying Power in Actual Radiation Fields	119	(3)
Comparison of Complex and Instantaneous Powers	122	(5)
Radiation Q	127	(4)
Chu's Q Analysis, TM Fields	131	(5)
Chu's Q Analysis, Exact for TM Fields	136	(2)
Chu's Q Analysis, TE Field	138	(2)
Chu's Q Analysis, Collocated TM and TE Modes	140	(2)
Q the Easy Way, Electrically Small Antennas	142	(1)
Q on the Basis of Time-Dependent Field Theory	142	(7)
Q of a Radiating Electric Dipole	149	(5)
Surface Pressure on Dipolar Source	154	(4)
Q of Radiating Magnetic Dipoles	158	(1)
Q of Collocated Electric and Magnetic Dipoles Pair	159	(5)
Q of Collocated, Perpendicular Electric Dipoles	164	(1)
Four Collocated Electric and Magnetic Dipoles and Multipoles	165	(7)
Numerical Characterization of Antennas	172	(7)
Experimental Characterization of Antennas	179	(4)
Q of Collocated Electric and Magnetic Dipoles: Numerical and Experimental Characterizations	183	(8)
References	190	(1)
Quantum Theory	191	(54)
Electrons	192	(2)
Radiation Reaction Force	194	(4)
The Time-Independent Schrodinger Equation	198	(5)
The Uncertainty Principle	203	(2)
The Time-Dependent Schrodinger Equation	205	(4)
Quantum Operator Properties	209	(1)
Orthogonality	210	(2)
Electron Angular Momentum, Central Force Fields	212	(3)
The Coulomb Potential Source	215	(5)
Hydrogen Atom Eigenfunctions	220	(3)
Perturbation Analysis	223	(2)
Non-Ionizing Transitions	225	(3)
Absorption and Emission of Radiation	228	(3)
Electric Dipole Selection Rules for One Electron Atoms	231	(3)
Electron Spin	234	(2)
Many-Electron Problems	236	(3)
Electron Photo Effects	239	(6)
References	243	(2)
Photons	245	(72)
Power-Frequency Relationships	245	(6)
Length of the Wave Train and Radiation Q	251	(3)
Phase and Radial Dependence of Field Magnitude	254	(4)
Gain and Radiation Pattern	258	(2)
Kinematic Values of the Radiation	260	(6)
Telefields and Far Fields	266	(4)
Evaluation of Sum S12 on the Axes	270	(3)
Evaluation of Sums S22 and S32 on the Polar Axes	273	(6)
Evaluation of Sum S32 in the Equatorial Plane	279	(2)
Evaluation of Sum S22 in the Equatorial Plane	281	(2)
The Axial Fields, Summary	283	(4)
Infinite Radius Radiation Pattern	287	(3)
Self-Consistent Field Analysis	290	(5)
Power and Energy Exchange	295	(2)
The Wave Train	297	(2)
Multipolar Moments	299	(3)
Field Stress on the Active Region	302	(11)
Summary	313	(4)
References	315	(2)
Epilogue	317	(14)
Historic Background	317	(5)
Overview	322	(2)
The Radiation Scenario	324	(7)
References	329	(2)
Appendix	331	(110)
A.1 Introduction to Tensors	331	(3)
A.2 Tensor Operations	334	(2)
A.3 Tensor Symmetry	336	(1)
A.4 Differential Operations on Tensor Fields	337	(3)
A.5 Green's Function	340	(5)
A.6 The Potentials	345	(1)
A.7 Equivalent Sources	346	(5)
A.8 A Series Resonant Circuit	351	(3)
A.9 Q of Time Varying Systems	354	(3)
A.10 Bandwidth	357	(1)
A.11 Instantaneous and Complex Power in Radiation Fields	358	(3)
A.12 Conducting Boundary Conditions	361	(3)
A.13 Uniqueness	364	(1)
A.14 Spherical Shell Dipole	365	(2)
Spherical Harmonics	367	(1)
A.15 Gamma Functions	367	(4)
A.16 Azimuth Angle Trigonometric Functions	371	(3)
A.17 Zenith Angle Legendre Functions	374	(5)
A.18 Legendre Polynomials	379	(4)
A.19 Associated Legendre Functions	383	(2)
A.20 Orthogonality	385	(2)
A.21 Recursion Relationships	387	(10)
A.22 Integrals of Legendre Functions	397	(5)
A.23 Integrals of Fractional Order Legendre Functions	402	(3)
Spherical Bessel Functions	405	(1)
A.24 The First Solution Form	405	(5)
A.25 The Second Solution Form	410	(4)
A.26 Tables of Spherical Bessel, Neumann, and Hankel Functions	414	(9)
A.27 Sums Over Spherical Bessel Functions	423	(5)
Multipolar Sources	428	(1)
A.28 Static Scalar Potentials	428	(5)
A.29 Static Vector Potentials	433	(8)
References	440	(1)
Index	441