Modified Maxwell Equations in... | Buy

Shows that the correction of Maxwell's equations eliminates the infinite zero-point energy in quantum electrodynamics. In addition, it presents many more new results.

Preface

vii

List of Frequently Used Symbols

xi

Introduction

Maxwell's Equations

1

(5)

Step Function Excitation of Planar TEM Wave

6

(3)

Solutions for the Electric Field Strength

9

(4)

Associated Magnetic Field Strength

13

(7)

Field Strengths with Continuous Time Variation

20

(2)

Modified Maxwell Equations in Potential Form

22

(5)

Monopole, Dipole, and Multipole Currents

Electric Monopoles and Dipoles With Constant Mass

27

(10)

Magnetic Monopoles and Dipoles With Constant Mass

37

(7)

Monopoles and Dipoles With Relativistic Variable Mass

44

(9)

Covariance of the Modified Maxwell Equations

53

(8)

Energy and Momentum With Dipole Current Correction

61

(7)

Hamiltonian Formalism

Undefined Potentials and Divergent Integrals

68

(10)

Charged Particle in an Electromagnetic Field

78

(10)

Variability of the Mass of a Charged Particle

88

(10)

Steady State Solutions of the Modified Maxwell Equations

98

(10)

Steady State Quantization of the Modified Radiation Field

108

(5)

Quantization of the Pure Radiation Field

Radiation Field in Extended Lorentz Gauge

113

(22)

Simplification of Aev (ζ, &thetas;) and Amv (ζ, &thetas;)

135

(5)

Hamilton Function for Planar Wave

140

(7)

Quantization of a Planar Wave

147

(3)

Exponential Ramp Function Excitation

150

(8)

Excitation With Rectangular Pulse

158

(2)

Klein-Gordon Equation and Vacuum Constants

Modified Klein-Gordon Equation

160

(8)

Planar Wave Solution

168

(11)

Hamilton Function for the Planar Klein-Gordon Wave

179

(5)

Quantization of the Planar Klein-Gordon Wave

184

(3)

Dipole Current Conductivities in Vacuum

187

(5)

Appendix

Electric Field Strength Due to Electric Step Function

192

(7)

Magnetic Field Strength Due to Electric Step Function

199

(11)

Excitation by a Magnetic Step Function

210

(6)

Electric Field Strength Due to Electric Ramp Function

216

(4)

Magnetic Field Strength Due to Electric Ramp Function

220

(4)

Component Amz of the Vector Potential

224

(7)

Component Aex of the Vector potential

231

(7)

Choice of ρ2 ≪ 1 in Eq. (4.1-85)

238

(2)

Excitation of a Spherical Wave

240

(5)

Better Approximations of Dipole Currents

245

(14)

Evaluation of Eq. (5.3-4)

259

(12)

Calculations for Sections 4.2 and 4.3

271

(20)

References and Bibliography

291

(6)

Index

297

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