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Author : Valeri V. Dvoeglazov
Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.X/5 (4 download)
Download or read book Photon and Poincaré Group written by Valeri V. Dvoeglazov and published by Nova Biomedical Books. This book was released on 1999 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Photon & Poincare Group
Author : M. Noz
Publisher : Springer Science & Business Media
ISBN 13 : 9400930518
Total Pages : 510 pages
Book Rating : 4.4/5 (9 download)
Download or read book Special Relativity and Quantum Theory written by M. Noz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity and quantum mechanics are likely to remain the two most important languages in physics for many years to come. The underlying language for both disciplines is group theory. Eugene P. Wigner's 1939 paper on the Unitary Representations of the Inhomogeneous Lorentz Group laid the foundation for unifying the concepts and algorithms of quantum mechanics and special relativity. In view of the strong current interest in the space-time symmetries of elementary particles, it is safe to say that Wigner's 1939 paper was fifty years ahead of its time. This edited volume consists of Wigner's 1939 paper and the major papers on the Lorentz group published since 1939. . This volume is intended for graduate and advanced undergraduate students in physics and mathematics, as well as mature physicists wishing to understand the more fundamental aspects of physics than are available from the fashion-oriented theoretical models which come and go. The original papers contained in this volume are useful as supplementary reading material for students in courses on group theory, relativistic quantum mechanics and quantum field theory, relativistic electrodynamics, general relativity, and elementary particle physics. This reprint collection is an extension of the textbook by the present editors entitled "Theory and Applications of the Poincare Group." Since this book is largely based on the articles contained herein, the present volume should be viewed as a reading for the previous work. continuation of and supplementary We would like to thank Professors J. Bjorken, R. Feynman, R. Hofstadter, J.
Author : R. Mirman
Publisher : iUniverse
ISBN 13 : 0595341241
Total Pages : 233 pages
Book Rating : 4.5/5 (953 download)
Download or read book Massless Representations of the Poincaré Group written by R. Mirman and published by iUniverse. This book was released on 2005-05 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface 1 The Physical Meaning of Poincare Massless Representations 1 2 Massless Representations 12 3 Massless Fields are Different 32 4 How to Couple Massless and Massive Matter 56 5 The Behavior of Matter in Fields 73 6 Geometrical Reasons for the Poincare Group 95 7 Description of the Electromagnetic Field 123 8 The Equations Governing Free Gravitation 135 9 How Matter Determines Gravitational Fields 150 10 Nonlinearity and Geometry 165 11 Quantum Gravity 183 References 201 Index 207.
Author : Anne Dunne
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (969 download)
Download or read book Massless representations of the Poincare group and some applications to photons and gravitons in vacuum written by Anne Dunne and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Trilochan Pradhan
Publisher : Nova Publishers
ISBN 13 : 9781560729280
Total Pages : 146 pages
Book Rating : 4.7/5 (292 download)
Download or read book The Photon written by Trilochan Pradhan and published by Nova Publishers. This book was released on 2001 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Maxwell's electromagnetic theory of light. First, it is a fully relativistic theory without having a non-relativistic limit. There arise many difficulties in quantising the electromagnetic field and in the physical interpretation of the wavefunction of its quanta. Further, the first quantisation of the Maxwell equations similar to quantisation of classical mechanics by the Schrodinger method, has not been discussed in most books on quantum mechanics. Second, the Maxwell field is the simplest gauge field possessing symmetry with respect to Poincare group of transformations in addition to scale, duality and special conformal transformations whose local versions give rise to new interaction of photons through new gauge fields. One of these gauge fields couples to the spin density of the photon and other particles and can bind fermion-antifermion pairs to give transverse photons. Another interesting aspect of the electromagnetic field is its coherence properties and their interpretation in terms of quantised theory.
Author : Young Suh Kim
Publisher : Springer Science & Business Media
ISBN 13 : 9400945582
Total Pages : 346 pages
Book Rating : 4.4/5 (9 download)
Download or read book Theory and Applications of the Poincaré Group written by Young Suh Kim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work.
Author : Yoshio Ohnuki
Publisher : World Scientific
ISBN 13 : 9789971502508
Total Pages : 234 pages
Book Rating : 4.5/5 (25 download)
Download or read book Unitary Representations of the Poincar Group and Relativistic Wave Equations written by Yoshio Ohnuki and published by World Scientific. This book was released on 1988 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to an extensive and systematic study on unitary representations of the Poincar group. The Poincar group plays an important role in understanding the relativistic picture of particles in quantum mechanics. Complete knowledge of every free particle states and their behaviour can be obtained once all the unitary irreducible representations of the Poincar group are found. It is a surprising fact that a simple framework such as the Poincar group, when unified with quantum theory, fixes our possible picture of particles severely and without exception. In this connection, the theory of unitary representations of the Poincar group provides a fundamental concept of relativistic quantum mechanics and field theory.
Author : Jong-Ping Hsu
Publisher : World Scientific
ISBN 13 : 9789812810984
Total Pages : 620 pages
Book Rating : 4.8/5 (19 download)
Download or read book Lorentz and Poincar Invariance written by Jong-Ping Hsu and published by World Scientific. This book was released on 2001 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers provides a broad view of the development of Lorentz and Poincar(r) invariance and spacetime symmetry throughout the past 100 years. The issues explored in these papers include: (1) formulations of relativity theories in which the speed of light is not a universal constant but which are consistent with the four-dimensional symmetry of the Lorentz and Poincar(r) groups and with experimental results, (2) analyses and discussions by Reichenbach concerning the concepts of simultaneity and physical time from a philosophical point of view, and (3) results achieved by the union of the relativity and quantum theories, marking the beginnings of quantum electrodynamics and relativistic quantum mechanics. Ten of the fundamental experiments testing special relativity are also discussed, showing that they actually support a four-dimensional spacetime based on broad Lorentz and Poincar(r) invariance which is more general than and includes the special theory of relativity. The generalization of the concepts of simultaneity, physical time and the nature of the speed of light within a four-dimensional spacetime framework leads to the conclusion that the symmetries embodied by the special theory of relativity can be realized using only a single postulate OCo the principle of relativity for physical laws. Contents: Theoretical Implications of Lorentz and Poincar(r) Invariance: The Dawn of Lorentz and Poincar(r) Invariance (1887OCo1905): Inquiries Regarding the Constancy of the Speed of Light (1908-1910); The Splendid Union of Special Relativity and Quantum Mechanics (1927OCo1949); The Isotropy of the Speed of Light c: A Convenient Assumption (1963OCo1995); The Logically Simplest Theory of Relativity and Its 4-Dimensional Symmetry (1990OCo1994); Experiments for Lorentz and Poincar(r) Invariance: The Fizeau Experiment; The WilsonOCoWilson Experiment; The Observation of the Muon Lifetime Dilation; The MassOCoVelocity Relation Experiment; The Thomas Precession Experiment; and other papers. Readership: Upper-level undergraduates, graduate students, researchers and academics in mathematical physics and theoretical physics."
Author : Sibel Baskal
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681740621
Total Pages : 173 pages
Book Rating : 4.6/5 (817 download)
Download or read book Physics of the Lorentz Group written by Sibel Baskal and published by Morgan & Claypool Publishers. This book was released on 2015-11-01 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.
Author : Bruce W. Shore
Publisher : Oxford University Press, USA
ISBN 13 : 0198862857
Total Pages : 506 pages
Book Rating : 4.1/5 (988 download)
Download or read book Our Changing Views of Photons written by Bruce W. Shore and published by Oxford University Press, USA. This book was released on 2020-08-07 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our Changing Views of Photons: A Tutorial Memoir presents those general topics as a memoir of the author's involvement with physics and the photons of theoretical Quantum Optics, written conversationally for readers with no assumed prior exposure to science. .
Author : Andrew E. Chubykalo
Publisher : World Scientific
ISBN 13 : 9789810240622
Total Pages : 492 pages
Book Rating : 4.2/5 (46 download)
Download or read book Lorentz Group, CPT and Neutrinos written by Andrew E. Chubykalo and published by World Scientific. This book was released on 2000 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics in this volume range from mathematical aspects of the theory of the Poincar group, Clifford algebras and the CPT theorem, through new theoretical physical constructions and concepts (such as the physical significance of the 4-potential, the interplay between quantum mechanics and gravity, Majorana-like models, the photon as a composite particle, action-at-a-distance and superluminal phenomena), to experiments in neutrino physics. The book will be of interest to graduate students and researchers working in fundamental physics and phenomenology, and also to experimentalists.
Author : E. R. Pike
Publisher : Clarendon Press
ISBN 13 : 0191590053
Total Pages : 358 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Quantum Theory of Radiation written by E. R. Pike and published by Clarendon Press. This book was released on 1995-12-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in covering phenomena in photon- matter interactions in a unified way over a range of many orders in energy. The quantum field theoretic approach to the fully relativistic theory of quantum electrodynamics (QED) is presented together with the non- relativistic theory in both confined and unconfined geometries. The predictions of QED have been verified to a greater accuracy than any other physical theory. Moreover QED is a paradigm for other gauge theories and is presented in such a way that the generalisation to other gauge theories is natural. Gauge and Poincare symmetry properties and the non-existence of a photon wave function are thoroughly discussed. Starting from the Dirac equation the non-relativistic interaction of the electron with the electromagnetic field is derived as an effective Hamiltonian of multipole expansions. Much of quantum optics is based on the lowest order dipole approximation. From this point on the treatment of fully relativistic QED and quantum optics is done in parallel. Applications of perturbation theory such as Compton and Moller scattering and the theory photdetection are given. After the impressive successes of QED, the limitation of the theory and the necessity of electroweak theory and quantumchromodynamics are discussed. The remaining chapters are devoted to quantum optics inside cavaties. Various approaches to open systems such as master equations are discussed within the context of active systems (e.g. the laser) and passive systems. Semi- classical approximarions are shown to imply a rich non- linear dynamics including chaos for certain parameter regimes. The effect of fluctuations on such non-linear dynamics is also studied. The final chapter is devoted to highly non- classical states of the light field such as photon number, squeezed and two photon entangled states. The latter are studied for the important system of parametric down conversion and the localisation properties of photons are characterised in terms of asympotic tails in photodetection probabilities as a function of time delay. The range of the book has wider benefits. Workers in quantum optics will gain a deeper understanding of the foundations of their subject and field theorists will see concrete examples of open systems, which are beginning to impinge on fundamental theories.
Author : Jong-Ping Hsu
Publisher : World Scientific
ISBN 13 : 9812566511
Total Pages : 538 pages
Book Rating : 4.8/5 (125 download)
Download or read book A Broader View of Relativity written by Jong-Ping Hsu and published by World Scientific. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein's theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein's special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach's general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Contents: Special Relativity is NOT Incorrect!; Space, Time, and Inertial Frames; The Novel Creation of the Young Einstein; Experimental Tests; Group Properties; Common Relativity and Quantum Mechanics; Extended Relativity; Dynamics of Classical and Quantum Particles; Group and Lie Algebra Properties of Accelerated Transformation of Spacetime; Graphic Representations of the Geometry of Spacetime in Accelerated Frames; Two Rocketships with Constant-Linear Acceleration; On a Gauge Theory of Gravity with Translation Gauge Symmetry in Inertial and Non-Inertial Frames; Appendices: Technical Aspects of Extended Relativity; Coordinate Transformations for Rotating Frames; and other papers. Key Features Includes five new chapters A complete and comprehensive description of Broad Relativity, which generalizes Einstein's original theory of special relativity to new physical time systems and a limited class of non-inertial frames Brings a fresh viewpoint with new physical implications and predictions to old physics Gives an updated discussion on fundamental physical constants and unit systems and their influence on the development of relativity theories Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.
Author : Ole Keller
Publisher : CRC Press
ISBN 13 : 1040103766
Total Pages : 560 pages
Book Rating : 4.0/5 (41 download)
Download or read book Fundamentals of Photon Physics written by Ole Keller and published by CRC Press. This book was released on 2024-10-07 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The photon, an abstract concept belonging to a global vacuum, only manifests itself during interaction with matter. Fundamentals of Photon Physics describes the richly faceted, basic theory of photon-matter interaction, selecting a wide number of topics. Together with the author’s book Light -- The Physics of the Photon (CRC, 2014), both written on a scholarly level, the reader is given a comprehensive exposition of photon wave mechanics, quantum optics and quantum electrodynamics (QED). Divided into 10 parts, the book begins by exploring the relation between photon wave mechanics and quantum field theory. It then describes the theories of zero- and one-photon states and that of bi-photons. After discussing conservation laws, Lagrangian formulations, geometric phase and topology, the author turns towards the theory of photon scattering, emphasizing a density matrix operator approach and the role of microscopic extinction theorems. The book next focuses on mesoscopic QED, devoting particular attention to collective jellium excitations and photon-spin interactions. Special attention is given to the basics of the photon-magnon interaction and nonlinear superconductor electrodynamics, including the nonlinear Meissner rectification phenomenon, before studying the theory of transverse photons tied to (dressing) massive particles. The last three parts take the reader on a journey to topics usually not treated in books on photon- matter interaction. Beginning with photons in curved space-time structures and in spatially curved media, e.g. Möbius bands, the author discusses the extension of QED to the electro-weak interaction at an introductory level. Fundamentals of Photon Physics ends with the establishment of the set of isovector Maxwell equations in non-Abelian SO(3) gauge theory, leading to the celebrated hedgehog monopole model. Ole Keller is professor emeritus of theoretical physics at Aalborg University, Denmark. He earned his Licentiate (∼ PhD) degree in semiconductor physics from the Danish Technical University in Copenhagen in 1972, and the Doctor of Science degree from the University of Aarhus (1996). In 1989 he was appointed as the first professor in physics at Aalborg University by Margrethe Den Anden, queen of Denmark. The same year he was admitted to Kraks Blaa Bog, a prestigious Danish biographical dictionary which (citatum) ”Includes men and women, whose life story could have an interest for a wider public”. He is a fellow of the Optical Society of America. He has written the books entitled Quantum Theory of Near-Field Electrodynamics (Springer, 2011) and LIGHT - The Physics of the Photon (CRC, 2014), as well as the monographs Local Fields in the Electrodynamics of Mesoscopic Media (Physics Reports, 1996) and On the Theory of Spatial Localization of Photons (Physics Reports, 2005). He is the editor of the books Nonlinear Optics in Solids (Springer, 1990), Studies in Classical and Quantum Nonlinear Optics (Nova Science, 1995) and Notions and Perspectives of Nonlinear Optics (World Scientific, 1996). In recent years he has carried out theoretical research in fundamental photon physics, microscopic few-photon diffraction, mesoscopic and Möbius band electrodynamics, and studied magnetic monopole theory based on QED and the isovector Maxwell equations in non-Abelian gauge symmetry.
Author : Hans Halvorson
Publisher : Cambridge University Press
ISBN 13 : 113949922X
Total Pages : 487 pages
Book Rating : 4.1/5 (394 download)
Download or read book Deep Beauty written by Hans Halvorson and published by Cambridge University Press. This book was released on 2011-04-18 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This book is about how mathematical innovation can help us gain deeper insight into the structure of the physical world. Chapters by top researchers in the mathematical foundations of physics explore new ideas, especially novel mathematical concepts at the cutting edge of future physics. These creative developments in mathematics may catalyze the advances that enable us to understand our current physical theories, especially quantum theory. The authors bring diverse perspectives, unified only by the attempt to introduce fresh concepts that will open up new vistas in our understanding of future physics.
Author : Harry E. Moses
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Expansion of Electromagnetic Fields and Potentials in the Wave Functions of the Photon written by Harry E. Moses and published by . This book was released on 1972 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expansion of the unquantized electromagnetic fields and vector and scalar potentials in terms of the wave functions of the relativistic photon is reviewed and extended. Both linear and angular momentum bases are used for the photon wave functions. After second quantizing the electromagnetic field, the results are applied to the obtaining of the exact matrix elements (that is, with retardation taken into account exactly) and selection rules for the emission of photons by hydrogenic atoms. The dichotomy between the photon and wave picture of electromagnetic radiation is discussed and resolved. Furthermore, the most general vector and scaler potentials are obtained through the use of the eigenfunctions of the curl operator. (Author).
Author : A E Chubykalo
Publisher : World Scientific
ISBN 13 : 981454339X
Total Pages : 486 pages
Book Rating : 4.8/5 (145 download)
Download or read book Lorentz Group, Cpt And Neutrinos: Proceedings Of The International Workshop written by A E Chubykalo and published by World Scientific. This book was released on 2000-08-30 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics in this volume range from mathematical aspects of the theory of the Poincaré group, Clifford algebras and the CPT theorem, through new theoretical physical constructions and concepts (such as the physical significance of the 4-potential, the interplay between quantum mechanics and gravity, Majorana-like models, the photon as a composite particle, action-at-a-distance and superluminal phenomena), to experiments in neutrino physics. The book will be of interest to graduate students and researchers working in fundamental physics and phenomenology, and also to experimentalists.
