Modified Maxwell Equations In Quantum Electrodynamics
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Modified Maxwell Equations in Quantum Electrodynamics by Henning F. Harmuth,Terence William Barrett,Beate Meffert Pdf
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."
Modified Maxwell Equations in Quantum Electrodynamics by Henning F. Harmuth,Terence William Barrett,Beate Meffert Pdf
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
Electrodynamics: An Introduction Including Quantum Effects by Harald J W Müller-Kirsten Pdf
An extensive text on electrodynamics with detailed explanations and calculations. One hundred worked examples have been incorporated, making the book suitable also for self-instruction. Apart from all traditional topics of Maxwell theory, the book includes the special theory of relativity and the Lagrangian formalism and applications; the text also contains introductions to quantum effects related to electrodynamics, such as the Aharonov-Bohm and the Casimir effects. Numerous modern applications in diverse directions are treated in the examples.
Advances in Imaging and Electron Physics by Beate Meffert,Henning Harmuth Pdf
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
Light and Vacuum presents a synthesis of selected fundamental topics of electromagnetic wave theory and quantum electrodynamics (QED) and analyzes the main theoretical difficulties encountered to ensure a coherent mathematical description of the simultaneous wave–particle nature of light, put in evidence by the experiments. The notion and the role of the quantum vacuum, strongly related to light, are extensively investigated. Classical electrodynamics issued from Maxwell's equations revealed the necessity of introducing the notion of volume for an electromagnetic wave to stand entailing precise values of cut-off wavelengths to account for the shape and dimensions of the surrounding space. Conversely, in QED, light is considered to be composed of point particles disregarding the conceptual question on how the frequency of oscillating electric and magnetic fields may be attributed to a point particle. To conciliate these concepts, the book provides a comprehensive overview of the author's work, including innovative contributions on the quantization of the vector potential amplitude at a single photon state, the non-local simultaneous wave–particle mathematical representation of the photon and finally the quantum vacuum. The purpose of the advanced elaborations is to raise questions, give hints and answers, and finally aspire for further theoretical and experimental studies in order to improve our knowledge and understanding on the real essence of Light and Vacuum. Contents:IntroductionHistorical Survey and Experimental EvidenceBasic Principles of the Electromagnetic Wave TheoryFrom Electromagnetic Waves to Quantum ElectrodynamicsTheory, Experiments and QuestionsAnalysis of the Electromagnetic Field Quantization Process and the Photon Vector Potential. The Non-Local Photon Wave-Particle Representation and the Quantum VacuumEpilogue Readership: This book is recommended for advanced postgraduate students and researchers who are interested in Quantum Mechanics and Electrodynamics. Key Features:The main mathematical ambiguities of the quantum electrodynamics formalism are clearly put in evidence, such as: derivation of the Hamiltonian without respecting Heisenberg's commutation relations, lack of an interaction Hamiltonian between the vacuum state and the electrons, singularities … etc.The basic aspect of Quantum Electrodynamics related to the quantization of the vector potential amplitude of the electromagnetic field to a single photon state α0k (ωk) = ξωk, which derives directly from Maxwell's equations, is uniquely described in this manuscriptA coherent mathematical coupling of the electromagnetic wave theory and quantum electrodynamics is fully provided resulting in a unique simultaneous wave particle formalism for the photon, in agreement with the experimental evidenceThe quantum vacuum issues arise naturally from the vector potential quantization procedure and corresponds to a very low energy density, compatible with recent astrophysical observations. Furthermore, it is explicitly expressed as a function of creation and annihilation operators permitting direct interactions with the electronsKeywords:Light;Electromagnetic Field;Second Quantization;Photons;Electrons;Quantum Vacuum
Practical Quantum Electrodynamics by Douglas M. Gingrich Pdf
Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.
In this book Carver Mead offers a radically new approach to the standard problems of electromagnetic theory. Motivated by the belief that the goal of scientific research should be the simplification and unification of knowledge, he describes a new way of doing electrodynamics—collective electrodynamics—that does not rely on Maxwell's equations, but rather uses the quantum nature of matter as its sole basis. Collective electrodynamics is a way of looking at how electrons interact, based on experiments that tell us about the electrons directly. (As Mead points out, Maxwell had no access to these experiments.) The results Mead derives for standard electromagnetic problems are identical to those found in any text. Collective electrodynamics reveals, however, that quantities that we usually think of as being very different are, in fact, the same—that electromagnetic phenomena are simple and direct manifestations of quantum phenomena. Mead views his approach as a first step toward reformulating quantum concepts in a clear and comprehensible manner. The book is divided into five sections: magnetic interaction of steady currents, propagating waves, electromagnetic energy, radiation in free space, and electromagnetic interaction of atoms. In an engaging preface, Mead tells how his approach to electromagnetic theory was inspired by his interaction with Richard Feynman.
Quantum Puzzle, The: Critique Of Quantum Theory And Electrodynamics by Clarke Barry R Pdf
In 1861, James Clerk–Maxwell published Part II of his four-part series "On physical lines of force". In it, he attempted to construct a vortex model of the magnetic field but after much effort neither he, nor other late nineteenth century physicists who followed him, managed to produce a workable theory. What survived from these attempts were Maxwell's four equations of electrodynamics together with the Lorentz force law, formulae that made no attempt to describe an underlying reality but stood only as a mathematical description of the observed phenomena. When the quantum of action was introduced by Planck in 1900 the difficulties that had faced Maxwell's generation were still unresolved. Since then theories of increasing mathematical complexity have been constructed to attempt to bring the totality of phenomena into order with little success. This work examines the problems that had been abandoned long before quantum mechanics was formulated in 1925 and argues that these issues need to be revisited before real progress in the quantum theory of the electromagnetic field can be made. Contents:IntroductionThe Faraday–Maxwell FieldsThe ElectronBlackbody RadiationAtomic StructureLight and ActionMass Vortex RingsThe Magnetic Vortex FieldThe Electric Vortex Field Readership: Advanced undergraduate and graduate students interested in quantum physics.
Molecular Quantum Electrodynamics by D. P. Craig,T. Thirunamachandran Pdf
Self-contained, systematic introduction examines application of quantum electrodynamics to interpretation of optical experiments on atoms and molecules and explains the quantum theory of electromagnetic radiation and its interaction with matter.
The underlying ideas of the present treatise originate from some speculations by the author in the late 1960s on the possible existence of a nonzero electric field divergence in the electromagnetic equations of the vacuum state. From these speculations an extended electromagnetic theory with fundamental applications was gradually developed, and finally debouching into the present updated and revised quantum electrodynamic approach. This book collects the various and separately published parts of the theory into one systematic entity.
This text material constitutes notes on the third of a three-semester course in quantum mechanics given at the California Institute of Technology in 1953, presenting the main results and calculational procedures of quantum electrodynamics.
The Nonlinear Quantum Field Theory as a Generalization of Standard Model (geometrical Approach) by Alexander G. Kyriakos Pdf
The author proposes a special nonlinear quantum field theory. In a linear approximation, this theory can be presented in the form of the Standard Model (SM) theory. The richer physical structure of this nonlinear theory makes it possible to exceed the limits of SM and remove its known incompleteness. We show that nonlinearity of the field is critical for the appearance of charges and masses of elementary particles, for confinement of quarks, and many other effects, whose description within the framework of SM causes difficulties. In this case, the mechanism of generation of masses is mathematically similar to Higgs's mechanism, but it is considerably simpler and does not include the additional particles. The proposed theory does not examine the theory of gravity, but reveals the mathematical similarity of the nonlinear field equations of both theories. The book is intended for undergraduate and graduate students studying the theory of elementary particles, as well as for specialists working in this field.
Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle. 1949 edition.