Modified Maxwell Equations in Quantum Electrodynamics

By: Henning F. Harmuth, Terence W. Barrett, Beate Meffert

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Hardcover | 1 December 2000

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312 Pages

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Divergencies in quantum field theory referred to as "infinite zero-point energy" have been a problem for 70 years. Renormalization has always been considered an unsatisfactory remedy. In 1985 it was found that Maxwell's equations generally do not have solutions that satisfy the causality law. An additional term for magnetic dipole currents corrected this shortcoming. Rotating magnetic dipoles produce magnetic dipole currents, just as rotating electric dipoles in a material like barium titanate produce electric dipole currents. Electric dipole currents were always part of Maxwell's equations. This book 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.

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?This book shows that the correction of Maxwell's equations eliminates the infinite zero-point energy in quantum electrodynamics."

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Preface
List of Frequently Used Symbols
Introduction
Maxwell's Equations	p. 1
Step Function Excitation of Planar TEM Wave	p. 6
Solutions for the Electric Field Strength	p. 9
Associated Magnetic Field Strength	p. 13
Field Strengths with Continuous Time Variation	p. 20
Modified Maxwell Equations in Potential Form	p. 22
Monopole, Dipole, and Multipole Currents
Electric Monopoles and Dipoles With Constant Mass	p. 27
Magnetic Monopoles and Dipoles With Constant Mass	p. 37
Monopoles and Dipoles With Relativistic Variable Mass	p. 44
Covariance of the Modified Maxwell Equations	p. 53
Energy and Momentum With Dipole Current Correction	p. 61
Hamiltonian Formalism
Undefined Potentials and Divergent Integrals	p. 68
Charged Particle in an Electromagnetic Field	p. 78
Variability of the Mass of a Charged Particle	p. 88
Steady State Solutions of the Modified Maxwell Equations	p. 98
Steady State Quantization of the Modified Radiation Field	p. 108
Quantization of the Pure Radiation Field
Radiation Field in Extended Lorentz Gauge	p. 113
Simplification of A[subscript ev]([zeta],[theta]) and A[subscript mv]([zeta], [theta])	p. 135
Hamilton Function for Planar Wave	p. 140
Quantization of a Planar Wave	p. 147
Exponential Ramp Function Excitation	p. 150
Excitation With Rectangular Pulse	p. 158
Klein-Gordon Equation and Vacuum Constants
Modified Klein-Gordon Equation	p. 160
Planar Wave Solution	p. 168
Hamilton Function for the Planar Klein-Gordon Wave	p. 179
Quantization of the Planar Klein-Gordon Wave	p. 184
Dipole Current Conductivities in Vacuum	p. 187
Appendix
Electric Field Strength Due to Electric Step Function	p. 192
Magnetic Field Strength Due to Electric Step Function	p. 199
Excitation by a Magnetic Step Function	p. 210
Electric Field Strength Due to Electric Ramp Function	p. 216
Magnetic Field Strength Due to Electric Ramp Function	p. 220
Component A[subscript mx] of the Vector Potential	p. 224
Component A[subscript ex] of the Vector potential	p. 231
Choice of [rho[subscript 2]] [[ 1 in Eq. (4.1-85)	p. 238
Excitation of a Spherical Wave	p. 240
Better Approximations of Dipole Currents	p. 245
Evaluation of Eq.(5.3-4)	p. 259
Calculations for Sections 4.2 and 4.3	p. 271
References and Bibliography	p. 291
Index	p. 297
Table of Contents provided by Blackwell. All Rights Reserved.

Modified Maxwell Equations in Quantum Electrodynamics

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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