Modified Maxwell Equations in Quantum Electrodynamics PDF Download
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Author: Henning F. Harmuth
Publisher: World Scientific
ISBN: 9812799656
Category : Science
Languages : en
Pages : 313
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Book Description
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: Henning F. Harmuth
Publisher: World Scientific
ISBN: 9810247702
Category : Science
Languages : en
Pages : 313
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Book Description
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
ISBN: 9789810247706
Category : Medical
Languages : en
Pages : 564
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Book Description
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
ISBN:
Category : Mathematics
Languages : en
Pages : 12
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Book Description
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:
ISBN: 0465025013
Category : Science
Languages : en
Pages : 402
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Book Description
New edition features improved typography, figures and tables, expanded indexes, and 885 new corrections.
Author: Franco Strocchi
Publisher: OUP Oxford
ISBN: 0191651346
Category : Science
Languages : en
Pages : 608
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Book Description
Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
Author: Art Hobson
Publisher: Oxford University Press
ISBN: 0190679638
Category : Science
Languages : en
Pages : 305
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Book Description
This is a book about the quanta that make up our universe--the highly unified bundles of energy of which everything is made. It explains wave-particle duality, randomness, quantum states, non-locality, Schrodinger's cat, quantum jumps, and more, in everyday language for non-scientists and scientists who wish to fathom science's most fundamental theory.
Author: Richard L. Amoroso
Publisher: World Scientific Publishing Company
ISBN: 9789813232037
Category : Mathematical physics
Languages : en
Pages : 0
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Book Description
"Nobel Laureate Brian Josephson -- controversial pioneering work on physics and biological organization. 1st conference series in history on Unified Field Mechanics, coining the term and others such as 'semi-quantum limit'. New treatment on Topological Field Theory which appears to be formalizing used to describe '3rd regime physics'. Numerous other chapters on leading edge theoretical physics"--
Author: Bruce J. Hunt
Publisher: Cornell University Press
ISBN: 9780801482342
Category : Biography & Autobiography
Languages : en
Pages : 284
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Book Description
James Clerk Maxwell published the Treatise on Electricity and Magnetism in 1873. At his death, six years later, his theory of the electromagnetic field was neither well understood nor widely accepted. By the mid-1890s, however, it was regarded as one of the most fundamental and fruitful of all physical theories. Bruce J. Hunt examines the joint work of a group of young British physicists--G. F. FitzGerald, Oliver Heaviside, and Oliver Lodge--along with a key German contributor, Heinrich Hertz. It was these "Maxwellians" who transformed the fertile but half-finished ideas presented in the Treatise into the concise and powerful system now known as "Maxwell's theory."
Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1139468472
Category : Science
Languages : en
Pages : 129
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Book Description
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Author: Julian Schwinger
Publisher: CRC Press
ISBN: 0429972091
Category : Science
Languages : en
Pages : 592
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Book Description
Classical Electrodynamics captures Schwinger's inimitable lecturing style, in which everything flows inexorably from what has gone before. Novel elements of the approach include the immediate inference of Maxwell's equations from Coulomb's law and (Galilean) relativity, the use of action and stationary principles, the central role of Green's functions both in statics and dynamics, and, throughout, the integration of mathematics and physics. Thus, physical problems in electrostatics are used to develop the properties of Bessel functions and spherical harmonics. The latter portion of the book is devoted to radiation, with rather complete treatments of synchrotron radiation and diffraction, and the formulation of the mode decomposition for waveguides and scattering. Consequently, the book provides the student with a thorough grounding in electrodynamics in particular, and in classical field theory in general, subjects with enormous practical applications, and which are essential prerequisites for the study of quantum field theory.An essential resource for both physicists and their students, the book includes a ?Reader's Guide,? which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor's preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book should be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.The text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger's death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger's novel approach.
