Electromagnetic Origin of Quantum Theory and Light: tt.jpg

The Electromagnetic Origin Of Quantum Theory And Light (Hardcover)by Dale M. Grimes (Author), Craig A. Grimes (Author)


Hardcover: 436 pages
Publisher: World Scientific Publishing Company; 2 edition (December 31, 2004)
Language: English
ISBN-10: 9812389253
ISBN-13: 978-9812389251

Product Description
Bell anchored the logic chain begun by Einstein, Rosen, and Podolsky and tested by Aspect et al., showing that entangled electrons are nonlocal. Feynman showed that free electrons are nonlocal in that they travel between any two points using all possible paths. The authors postulate nonlocality of eigenstate electrons and find quantum theory arises from classical electromagnetic field theory. Source fields for photons are detailed. This volume:
· Successfully bridges electromagnetism and quantum theory, detailing their common origin, · Significantly reduces the postulatory base of quantum mechanics, · Is particularly useful for photonics scientists seeking to understand properties of light, and · Provides a complete electromagnetic description of photons and the Ritz photonic power-frequency rules. It is a valuable reference for all physics graduate students and professionals interested in the fundamentals of their science, and for all electrical engineering graduate students and professionals interested in antennas.

Contents
Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii
Prologue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv
Chapter 1 Classical Electrodynamics . . . . . . . . . . . . . . . . . 1
1.1 Introductory Comments . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Space and Time Dependence upon Speed . . . . . . . . . . . . . . . 2
1.3 Four-Dimensional Space Time . . . . . . . . . . . . . . . . . . . . . 4
1.4 Newton’s Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.5 Electrodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.6 The Field Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.7 Accelerating Charges . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.8 The Electromagnetic Stress Tensor . . . . . . . . . . . . . . . . . . . 14
1.9 Kinematic Properties of Fields . . . . . . . . . . . . . . . . . . . . . 17
1.10 A Lemma for Calculation of Electromagnetic Fields . . . . . . . . . 19
1.11 The Scalar Differential Equation . . . . . . . . . . . . . . . . . . . . 21
1.12 Radiation Fields in Spherical Coordinates . . . . . . . . . . . . . . . 23
1.13 Electromagnetic Fields in a Box . . . . . . . . . . . . . . . . . . . . 26
1.14 From Energy to Electric Fields . . . . . . . . . . . . . . . . . . . . . 29
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Chapter 2 Selected Boundary Value Problems . . . . . . . . . . . 31
2.1 TravelingWaves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.2 Scattering of a Plane Wave by a Sphere . . . . . . . . . . . . . . . . 34
2.3 Lossless Spherical Scatterers . . . . . . . . . . . . . . . . . . . . . . 40
2.4 Biconical Transmitting Antennas, General Comments . . . . . . . . 45
2.5 Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
2.6 TEMMode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
2.7 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 52
2.8 The Defining Integral Equations . . . . . . . . . . . . . . . . . . . . 56
2.9 Solution of the Biconical Antenna Problem . . . . . . . . . . . . . . 58
2.10 Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
2.11 Biconical Receiving Antennas . . . . . . . . . . . . . . . . . . . . . . 67
2.12 Incoming TE Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
xi
xii The Electromagnetic Origin of Quantum Theory and Light
2.13 Incoming TMFields . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
2.14 Exterior Fields, Powers, and Forces . . . . . . . . . . . . . . . . . . 75
2.15 The Cross-Sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
2.16 General Comments . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
2.17 Fields of Receiving Antennas . . . . . . . . . . . . . . . . . . . . . . 86
2.18 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 88
2.19 Zero Degree Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
2.20 Non-Zero Degree Solutions . . . . . . . . . . . . . . . . . . . . . . . 92
2.21 Surface Current Densities . . . . . . . . . . . . . . . . . . . . . . . . 94
2.22 Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
Chapter 3 Antenna Q . . . . . . . . . . . . . . . . . . . . . . . . . . 99
3.1 Instantaneous and Complex Power in Circuits . . . . . . . . . . . . . 100
3.2 Instantaneous and Complex Power in Fields . . . . . . . . . . . . . . 103
3.3 Time Varying Power in Actual Radiation Fields . . . . . . . . . . . 105
3.4 Comparison of Complex and Instantaneous Powers . . . . . . . . . . 108
3.5 Radiation Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
3.6 Chu’s Q Analysis, TMFields . . . . . . . . . . . . . . . . . . . . . . 115
3.7 Chu’s Q Analysis, Exact for TMFields . . . . . . . . . . . . . . . . 120
3.8 Chu’s Q Analysis, TE Field . . . . . . . . . . . . . . . . . . . . . . . 122
3.9 Chu’s Q Analysis, Collocated TMand TEModes . . . . . . . . . . . 123
3.10 Q the Easy Way, Electrically Small Antennas . . . . . . . . . . . . . 124
3.11 Q on the Basis of Time-Dependent Field Theory . . . . . . . . . . . 125
3.12 Q of a Radiating Electric Dipole . . . . . . . . . . . . . . . . . . . . 131
3.13 Q of Radiating Magnetic Dipoles . . . . . . . . . . . . . . . . . . . . 136
3.14 Q of Collocated Electric and Magnetic Dipole Pair . . . . . . . . . . 137
3.15 Q of Collocated Pairs of Dipoles . . . . . . . . . . . . . . . . . . . . 140
3.16 Four Collocated Electric and Magnetic Multipoles . . . . . . . . . . 144
3.17 Q ofMultipolar Combinations . . . . . . . . . . . . . . . . . . . . . 148
3.18 Numerical Characterization of Antennas . . . . . . . . . . . . . . . . 152
3.19 Experimental Characterization of Antennas . . . . . . . . . . . . . . 158
3.20 Q of Collocated Electric and Magnetic Dipoles: Numerical
and Experimental Characterizations . . . . . . . . . . . . . . . . . . 162
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
Chapter 4 Quantum Theory . . . . . . . . . . . . . . . . . . . . . . 170
4.1 Electrons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
4.2 Dipole Radiation Reaction Force . . . . . . . . . . . . . . . . . . . . 173
4.3 The Time-Independent Schr¨odinger Equation . . . . . . . . . . . . . 180
4.4 The Uncertainty Principle . . . . . . . . . . . . . . . . . . . . . . . . 184
4.5 The Time-Dependent Schr¨odinger Equation . . . . . . . . . . . . . . 186
Contents xiii
4.6 Quantum Operator Properties . . . . . . . . . . . . . . . . . . . . . 188
4.7 Orthogonality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
4.8 Harmonic Oscillators . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
4.9 Electron Angular Momentum, Central Force Fields . . . . . . . . . . 194
4.10 The Coulomb Potential Source . . . . . . . . . . . . . . . . . . . . . 196
4.11 Hydrogen Atom Eigenfunctions . . . . . . . . . . . . . . . . . . . . . 199
4.12 Perturbation Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 202
4.13 Non-Ionizing Transitions . . . . . . . . . . . . . . . . . . . . . . . . . 203
4.14 Absorption and Emission of Radiation . . . . . . . . . . . . . . . . . 205
4.15 Electric Dipole Selection Rules
for One Electron Atoms . . . . . . . . . . . . . . . . . . . . . . . . . 208
4.16 Electron Spin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210
4.17 Many-Electron Problems . . . . . . . . . . . . . . . . . . . . . . . . 211
4.18 Measurement Discussion . . . . . . . . . . . . . . . . . . . . . . . . . 214
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214
Chapter 5 Radiative Energy Exchanges . . . . . . . . . . . . . . . 216
5.1 Blackbody Radiation, Rayleigh–Jeans Formula . . . . . . . . . . . . 216
5.2 Planck’s Radiation Law, Energy . . . . . . . . . . . . . . . . . . . . 218
5.3 Planck’s Radiation Law,Momentum . . . . . . . . . . . . . . . . . . 220
5.4 The Zero Point Field . . . . . . . . . . . . . . . . . . . . . . . . . . . 225
5.5 The Photoelectric Effect . . . . . . . . . . . . . . . . . . . . . . . . . 226
5.6 Power-Frequency Relationships . . . . . . . . . . . . . . . . . . . . . 229
5.7 Length of the Wave Train and Radiation Q . . . . . . . . . . . . . . 233
5.8 The Extended Plane Wave Radiation Field . . . . . . . . . . . . . . 235
5.9 Gain and Radiation Pattern . . . . . . . . . . . . . . . . . . . . . . . 239
5.10 Kinematic Values of the Radiation . . . . . . . . . . . . . . . . . . . 241
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246
Chapter 6 Photons . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247
6.1 Telefields and Far Fields . . . . . . . . . . . . . . . . . . . . . . . . . 248
6.2 Evaluation of Sum S12 on the Axes . . . . . . . . . . . . . . . . . . 253
6.3 Evaluation of Sums S22 and S32 on the Polar Axes . . . . . . . . . . 257
6.4 Evaluation of Sum S32 in the Equatorial Plane . . . . . . . . . . . . 261
6.5 Evaluation of Sum S22 in the Equatorial Plane . . . . . . . . . . . . 263
6.6 Summary of the Axial Fields . . . . . . . . . . . . . . . . . . . . . . 265
6.7 Radiation Pattern at Infinite Radius . . . . . . . . . . . . . . . . . . 267
6.8 MultipolarMoments . . . . . . . . . . . . . . . . . . . . . . . . . . . 270
6.9 Multipolar Photon-Field Stress and Shear . . . . . . . . . . . . . . . 275
6.10 Self-Consistent Fields . . . . . . . . . . . . . . . . . . . . . . . . . . 285
6.11 Energy Exchanges . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288
6.12 Self-Consistent Photon-Field Stress and Shear . . . . . . . . . . . . 291
6.13 Thermodynamic Equivalence . . . . . . . . . . . . . . . . . . . . . . 298
6.14 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
xiv The Electromagnetic Origin of Quantum Theory and Light
Chapter 7 Epilogue . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306
7.1 Historical Background . . . . . . . . . . . . . . . . . . . . . . . . . . 306
7.2 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311
7.3 The Radiation Scenario . . . . . . . . . . . . . . . . . . . . . . . . . 316
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320
Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323
1 Introduction to Tensors . . . . . . . . . . . . . . . . . . . . . . . . . 323
2 Tensor Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326
3 Tensor Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
4 Differential Operations on Tensor Fields . . . . . . . . . . . . . . . . 328
5 Green’s Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330
6 The Potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335
7 Equivalent Sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335
8 A Series Resonant Circuit . . . . . . . . . . . . . . . . . . . . . . . . 339
9 Q of Time Varying Systems . . . . . . . . . . . . . . . . . . . . . . . 341
10 Bandwidth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344
11 Instantaneous and Complex Power in Radiation Fields . . . . . . . . 345
12 Conducting Boundary Conditions . . . . . . . . . . . . . . . . . . . 347
13 Uniqueness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350
14 Spherical Shell Dipole . . . . . . . . . . . . . . . . . . . . . . . . . . 351
15 Gamma Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354
16 Azimuth Angle Trigonometric Functions . . . . . . . . . . . . . . . . 356
17 Zenith Angle Legendre Functions . . . . . . . . . . . . . . . . . . . . 359
18 Legendre Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . 363
19 Associated Legendre Functions . . . . . . . . . . . . . . . . . . . . . 366
20 Orthogonality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367
21 Recursion Relationships . . . . . . . . . . . . . . . . . . . . . . . . . 368
22 Integrals of Legendre Functions . . . . . . . . . . . . . . . . . . . . . 375
23 Integrals of Fractional Order Legendre Functions . . . . . . . . . . . 377
24 The First Solution Form . . . . . . . . . . . . . . . . . . . . . . . . . 382
25 The Second Solution Form . . . . . . . . . . . . . . . . . . . . . . . 384
26 Tables of Spherical Bessel, Neumann,
and Hankel Functions . . . . . . . . . . . . . . . . . . . . . . . . . . 387
27 Spherical Bessel Function Sums . . . . . . . . . . . . . . . . . . . . . 392
28 Static Scalar Potentials . . . . . . . . . . . . . . . . . . . . . . . . . 395
29 Static Vector Potentials . . . . . . . . . . . . . . . . . . . . . . . . . 400
30 Full Field Expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413

Electromagnetic Origin of Quantum Theory and Light, 2nd Edition

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[ 本帖最后由 drjiachen 于 2008-12-15 20:01 编辑 ]

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电磁和量子
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