Modified Maxwell equations in quantum electrodynamics /

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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 causal...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Harmuth, Henning F.
Otros Autores: Barrett, T. W. (Terence William), 1939-, Meffert, Beate
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, ©2001.
Colección:World Scientific series in contemporary chemical physics ; v. 19.
Temas:
Maxwell equations.
Quantum electrodynamics.
Équations de Maxwell.
Électrodynamique quantique.
SCIENCE > Waves & Wave Mechanics.
Maxwell equations
Quantum electrodynamics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: PREFACE VII
  • LIST OF FREQUENTLY USED SYMBOLS XI
  • 1 Introduction
  • 1.1 Maxwell's Equations 1
  • 1.2 Step Function Excitation of Planar TEM Wave 6
  • 1.3 Solutions for the Electric Field Strength 9
  • 1.4 Associated Magnetic Field Strength 13
  • 1.5 Field Strengths with Continuous Time Variation 20
  • 1.6 Modified Maxwell Equations in Potential Form 22
  • 2 Monopole, Dipole, and Multipole Currents
  • 2.1 Electric Monopoles and Dipoles With Constant Mass 27
  • 2.2 Magnetic Monopoles and Dipoles With Constant Mass 37
  • 2.3 Monopoles and Dipoles With Relativistic Variable Mass 44
  • 2.4 Covariance of the Modified Maxwell Equations 53
  • 2.5 Energy and Momentum With Dipole Current Correction 61
  • 3 Hamiltonian Formalism
  • 3.1 Undefined Potentials and Divergent Integrals 68
  • 3.2 Charged Particle in an Electromagnetic Field 78
  • 3.3 Variability of the Mass of a Charged Particle 88
  • 3.4 Steady State Solutions of the Modified Maxwell Equations 98
  • 3.5 Steady State Quantization of the Modified Radiation Field 108
  • 4 Quantization of the Pure Radiation Field
  • 4.1 Radiation Field in Extended Lorentz Gauge 113
  • 4.2 Simplification of Aev((,0) and Amv((, 9) 135
  • 4.3 Hamilton Function for Planar Wave 140
  • 4.4 Quantization of a Planar Wave 147
  • 4.5 Exponential Ramp Function Excitation 150
  • 4.6 Excitation With Rectangular Pulse 158
  • 5 Klein-Gordon Equation and Vacuum Constants
  • 5.1 Modified Klein-Gordon Equation 160
  • 5.2 Planar Wave Solution 168
  • 5.3 Hamilton Function for the Planar Klein-Gordon Wave 179
  • 5.4 Quantization of the Planar Klein-Gordon Wave 184
  • 5.5 Dipole Current Conductivities in Vacuum 187
  • 6 Appendix
  • 6.1 Electric Field Strength Due to Electric Step Function 192
  • 6.2 Magnetic Field Strength Due to Electric Step Function 199
  • 6.3 Excitation by a Magnetic Step Function 210
  • 6.4 Electric Field Strength Due to Electric Ramp Function 216
  • 6.5 Magnetic Field Strength Due to Electric Ramp Function 220
  • 6.6 Component Amz of the Vector Potential 224
  • 6.7 Component Ae of the Vector potential 231
  • 6.8 Choice of p2 1 in Eq.(4.1-85) 238
  • 6.9 Excitation of a Spherical Wave 240
  • 6.10 Better Approximations of Dipole Currents 245
  • 6.11 Evaluation of Eq.(5.3-4) 259
  • 6.12 Calculations for Sections 4.2 and 4.3 271
  • REFERENCES AND BIBLIOGRAPHY 291
  • INDEX 297.

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