Download or read book Five dimensional Hamiltonian Jacobi Approach to Relativistic Quantum Mechanics written by and published by . This book was released on 2003 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel theory is outlined for describing the dynamics of relativistic electrons and positrons. By introducing the Lorentz-invariant universal time as a fifth independent variable, the Hamilton-Jacobi formalism of classical mechanics is extended from three to four spatial dimensions. This approach allows one to incorporate gravitation and spin interactions in the extended five-dimensional Lagrangian in a covariant form. The universal time has the function of a hidden Bell parameter. By employing the method of variation with respect to the four coordinates of the particle and the components of the electromagnetic field, the path equation and the electromagnetic field produced by the charge and the spin of the moving particle are derived. In addition the covariant equations for the dynamics of the components of the spin tensor are obtained. These equations can be transformed to the familiar BMT equation in the case of homogeneous electromagnetic fields. The quantization of the five-dimensional Hamilton-Jacobi equation yields a five-dimensional spinor wave equation, which degenerates to the Dirac equation in the stationary case if we neglect gravitation. The quantity which corresponds to the probability density of standard quantum mechanics is the four-dimensional mass density which has a real physical meaning. By means of the Green method the wave equation is transformed into an integral equation enabling a covariant relativistic path integral formulation. Using this approach a very accurate approximation for the four-dimensional propagator is derived. The proposed formalism makes Dirac's hole theory obsolete and can readily be extended to many particles.
Download or read book Five dimensional Physics written by Paul S. Wesson and published by World Scientific. This book was released on 2006 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extra dimensions OCo beyond space and time OCo are the best methods for unifying gravity with particle physics. The basic extension is to five dimensions (5D), as in the induced-matter and membrane theory. This descriptive text gives an up-to-date account of the classical and quantum consequences of 5D physics. It includes topics that range from Einstein''s original theory of relativity to modern views on matter. The book is mathematically precise and focuses on new ideas which appeal to readers. Examples of new ideas are: The big-bang universe, which is curved by matter in 4D, may be viewed as a smooth and empty world in 5D; the uncertainty of quantum interactions in spacetime may be regarded as the consequence of deterministic laws in higher dimensions. This book will interest people who think about the ''meaning of things''. Sample Chapter(s). Chapter 1: Higher-Dimensional Physics (252 KB). Contents: Higher-Dimensional Physics; The Big Bang Revisited; Paths in Hyperspace; Quantum Consequences; The Cosmological OC ConstantOCO and Vacuum; Embeddings in N = 5 Dimensions; Perspectives in Physics. Readership: Graduate students and researchers in physics and astronomy."
Download or read book Relativistic Quantum Mechanics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.
Download or read book Relativistic Quantum Mechanics written by Hartmut Pilkuhn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics appears as a special case, and classical relativistic mechanics as another one. These special cases are important for giving plausible names to operators, for example "orbital angular momentum", "spin" or "magnetic moment". A subject which is treated for the first time in this book is the theory of binaries in terms of differential equations which have the mathematical structure of the corresponding one-body equations (Klein--Gordon for two spin- less particles, Dirac for two spinor particles).
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Download or read book Relativistic Quantum Mechanics and Quantum Fields written by Ta-you Wu and published by World Scientific. This book was released on 1991 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequel to the well received book, Quantum Mechanics by T Y Wu, this book carries on where the earlier volume ends. This present volume follows the generally pedagogic style of Quantum Mechanics. The scope ranges from relativistic quantum mechanics to an introduction to quantum field theory with quantum electrodynamics as the basic example and ends with an exposition of important issues related to the standard model. The book presents the subject in basic and easy-to-grasp notions which will enhance the purpose of this book as a useful textbook in the area of relativistic quantum mechanics and quantum electrodynamics.
Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Elsevier. This book was released on 2004-09-28 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series bridges the gap between academic researchers and R&D designers by addressing and solving daily issues, which makes it essential reading.This volume looks at theory and it’s application in a practical sense, with a full account of the methods used and realistic detailed application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in imaging and electron physics and apply them to realistic practical situations. * Emphasizes broad and in depth article collaborations between world-renowned scientists in the field of image and electron physics* Presents theory and it's application in a practical sense, providing long awaited solutions and new findings* Provides the steps in finding answers for the highly debated questions
Download or read book Relativistic Quantum Mechanics written by Paul Strange and published by Cambridge University Press. This book was released on 1998-09-17 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text introduces relativistic quantum theory, emphasising its important applications in condensed matter physics. Relativistic quantum theory is the unification into a consistent theory of Einstein's theory of relativity and the quantum mechanics of Bohr, Schrödinger, and Heisenberg, etc. Beginning with basic theory, the book then describes essential topics. Many worked examples and exercises are included along with an extensive reference list. This clear account of a crucial topic in science will be valuable to graduates and researchers working in condensed matter physics and quantum physics.
Download or read book Relativistic Quantum Mechanics written by Luciano Maiani and published by CRC Press. This book was released on 2015-11-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two of the most prominent leaders in particle physics, Relativistic Quantum Mechanics: An Introduction to Relativistic Quantum Fields provides a classroom-tested introduction to the formal and conceptual foundations of quantum field theory. Designed for advanced undergraduate- and graduate-level physics students, the text only requires p
Download or read book Textbook of Relativistic Quantum Physics written by V Devanathan and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2018-06-08 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: RELATIVISTIC QUANTUM PHYSICS includes in its fold both Relativistic Quantum Mechanics and Quantum Field Theory. It is shown how Feynman's positron theory and Feynman diagrams have greatly simplified the calculations for various processes in Quantum Electrodynamics. Elements of Quantum Field Theory and its essential features are also presented. Neutrinos and neutrino oscillations, Gauge theories and Guage bosons, Higgs field and Higgs bosons, spontaneous symmetry breaking and Higgs mechanism, and how the particles acquire mass by Higgs mechanism are some of the topics that are dealt with exhaustively in this book.
Download or read book Relativistic Quantum Mechanics And Quantum Fields Second Edition For The 21st Century written by Pauchy W-y Hwang and published by World Scientific Publishing Company. This book was released on 2018-04-26 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This present edition of the book follows the generally pedagogic style of Quantum Mechanics. The scope ranges from relativistic quantum mechanics to an introduction to quantum field theory with quantum electrodynamics as the basic example and ends with an exposition of important issues related to the standard model. The book presents the subject in basic and easy-to-grasp notions which will enhance the purpose of this book as a useful textbook in the area of relativistic quantum mechanics and quantum electrodynamics.
Download or read book Relativistic Quantum Mechanics And Related Topics written by Eduardo Guendelman and published by World Scientific. This book was released on 2022-03-18 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes Relativistic Quantum Mechanics, starting from the free field equations for spin-zero particles and for spin-one-half particles, leading to the Klein-Gordon equation and Dirac equations. Interactions of these particles with the electromagnetic field through minimal coupling are introduced as well as other interactions between particles. It includes the calculation of the fundamental processes of Quantum Electrodynamics by means of Feynman's propagator theory, which allows for a proper treatment of diverse scattering and particle creation processes. In addition to this, a number of special topics are discussed, such as spontaneous symmetry breaking, the global and local cases, the Higgs mechanism, axion-photon interactions using techniques borrowed from scalar QED, pair creation in a strong external electric field, the two-dimensional representation of the Klein-Gordon propagator, bound states in the Greens functions approach, and the Breit equation for bound states. Also, the photon-electron interactions are treated in the context of a symmetric treatment within electrons and photons for eg. Compton scattering, pair creation and pair annihilation. Finally, non-abelian gauge theories, the Glashow-Weinberg-Salam model, some electroweak processes, and Feynman diagrams are also discussed.
Download or read book Relativistic Quantum Theory written by Vladimir Borisovich Berestet︠s︡kiĭ and published by Pergamon. This book was released on 1971 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Quantum Theory written by Edwin Plimpton Adams and published by . This book was released on 1923 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scale Relativity and Fractal Space Time written by Laurent Nottale and published by World Scientific. This book was released on 2011 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by . This book was released on 1960 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
