Modified Maxwell Equations In Quantum Electrodynamics
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Author | : Henning F. Harmuth |
Publisher | : World Scientific |
Total Pages | : 313 |
Release | : 2001 |
Genre | : Science |
ISBN | : 9812799656 |
Divergencies in quantum field theory referred to as OC infinite zero-point energyOCO 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. Contents: Monopole, Dipole, and Multipole Currents; Hamiltonian Formalism; Quantization of the Pure Radiation Field; KleinOCoGordon Equation and Vacuum Constants. Readership: Senior undergraduates, graduate students, researchers and academics in quantum, atomic, theoretical, mathematical and nuclear physics."
Author | : Terence William Barrett |
Publisher | : World Scientific |
Total Pages | : 313 |
Release | : 2001-11-19 |
Genre | : Science |
ISBN | : 9814489980 |
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.
Author | : Henning F. Harmuth |
Publisher | : World Scientific Publishing Company |
Total Pages | : 564 |
Release | : 2001 |
Genre | : Medical |
ISBN | : 9789810247706 |
1. Introduction. 1.1. Maxwell's equations. 1.2. Step function excitation of planar TEM wave. 1.3. Solutions for the electric field strength. 1.4. Associated magnetic field strength. 1.5. Field strengths with continuous time variation. 1.6. Modified Maxwell equations in potential form -- 2. Monopole, dipole, and multipole currents. 2.1. Electric monopoles and dipoles with constant mass. 2.2. Magnetic monopoles and dipoles with constant mass. 2.3. Monopoles and dipoles with relativistic variable mass. 2.4. Covariance of the modified Maxwell equations. 2.5. Energy and momentum with dipole current correction -- 3. Hamiltonian formalism. 3.1. Undefined potentials and divergent integrals. 3.2. Charged particle in an electromagnetic field. 3.3. Variability of the mass of a charged particle. 3.4. Steady state solutions of the modified Maxwell equations. 3.5. Steady state quantization of the modified radiation field -- 4. Quantization of the pure radiation field. 4.1. Radiation field in extended Lorentz gauge. 4.2. Simplification of Aev([symbol]) and Amv([symbol]). 4.3. Hamilton function for planar wave. 4.4. Quantization of a planar wave. 4.5. Exponential ramp function excitation. 4.6. Excitation with rectangular pulse -- 5. Klein-Gordon equation and vacuum constants. 5.1. Modified Klein-Gordon equation. 5.2. Planar wave solution. 5.3. Hamilton function for the planar Klein-Gordon wave. 5.4. Quantization of the planar Klein-Gordon wave. 5.5. Dipole current conductivities in vacuum
Author | : Victor Christianto |
Publisher | : Infinite Study |
Total Pages | : 12 |
Release | : |
Genre | : Mathematics |
ISBN | : |
In a recent paper published in JCMNS in 2017, Francesco Celani, Di Tommaso and Vassalo argued that Maxwell equations rewritten in Clifford algebra are sufficient to describe the electron and also ultra-dense deuterium reaction process proposed by Homlid et al. Apparently, Celani et al. believed that their Maxwell–Clifford equations are an excellent candidate to surpass both Classical Electromagnetic and Zitterbewegung QM. Meanwhile, in a series of papers, Bo Lehnert proposed a novel and revised version of Quantum Electrodynamics (RQED) based on Proca equations.
Author | : Richard P. Feynman |
Publisher | : |
Total Pages | : 402 |
Release | : 2011-10-04 |
Genre | : Science |
ISBN | : 0465025013 |
New edition features improved typography, figures and tables, expanded indexes, and 885 new corrections.
Author | : Franco Strocchi |
Publisher | : Oxford University Press, USA |
Total Pages | : 270 |
Release | : 2013-02-14 |
Genre | : Science |
ISBN | : 0199671575 |
The book discusses fundamental aspects of Quantum Field Theory and of Gauge theories, with attention to mathematical consistency. Basic issues of the standard model of elementary particles (Higgs mechanism and chiral symmetry breaking in quantum Chromodynamics) are treated without relying on the perturbative expansion and on instanton calculus.
Author | : Arthur I. Miller |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 1995-10-12 |
Genre | : Science |
ISBN | : 9780521568913 |
A panoramic view during 1927-1938 of the development of quantum electrodynamics.
Author | : Rudolf Ernst Peierls |
Publisher | : Princeton University Press |
Total Pages | : 180 |
Release | : 1979-11-21 |
Genre | : Science |
ISBN | : 9780691082424 |
Problems in theoretical physics often lead to paradoxical answers; yet closer reasoning and a more complete analysis invariably lead to the resolution of the paradox and to a deeper understanding of the physics involved. Drawing primarily from his own experience and that of his collaborators, Sir Rudolf Peierls selects examples of such "surprises" from a wide range of physical theory, from quantum mechanical scattering theory to the theory of relativity, from irreversibility in statistical mechanics to the behavior of electrons in solids. By studying such surprises and learning what kind of possibilities to look for, he suggests, scientists may be able to avoid errors in future problems. In some cases the surprise is that the outcome of a calculation is contrary to what physical intuition seems to demand. In other instances an approximation that looks convincing turns out to be unjustified, or one that looks unreasonable turns out to be adequate. Professor Peierls does not suggest, however, that theoretical physics is a hazardous game in which one can never foresee the surprises a detailed calculation might reveal. Rather, he contends, all the surprises discussed have rational explanations, most of which are very simple, at least in principle. This book is based on the author's lectures at the University of Washington in the spring of 1977 and at the Institut de Physique Nucleaire, University de Paris-Sud, Orsay, during the winter of 1977-1978.
Author | : Beate Meffert |
Publisher | : Elsevier |
Total Pages | : 333 |
Release | : 2003-12-18 |
Genre | : Technology & Engineering |
ISBN | : 0080490085 |
Among the subjects reviewed in these Advances, the properties and computation of electromagnetic fields have been considered on several occasions. In particular, the early work of H.F. Harmuth on Maxwell's equations, which was highly controversial at the time, formed a supplement to the series. This volume, unlike previous volumes in the series concentrates solely on the research of professors' Harmuth and Meffert. These studies raise important and fundamental questions concerning some of the basic areas of physics: electromagnetic theory and quantum mechanics. They deserve careful study and reflection for although the authors do not attempt to provide the definitive answer to the questions, their work is undoubtedly a major step towards such an answer. This volume essential reading for those researchers and academics working applied mathematicians or theoretical physics - Unlike previous volumes, this book concentrates solely on the new research of professors Harmuth and Meffert - Raises important and fundamental questions concerning electromagnetism theory and quantum mechanics - Provides the steps in finding answers for the highly debated questions
Author | : Melvin Schwartz |
Publisher | : Courier Corporation |
Total Pages | : 370 |
Release | : 2012-04-24 |
Genre | : Science |
ISBN | : 0486134679 |
The 1988 Nobel Prize winner establishes the subject's mathematical background, reviews the principles of electrostatics, then introduces Einstein's special theory of relativity and applies it to topics throughout the book.