Relativistic Quantum Dynamics

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Relativistic Quantum Dynamics

Author : Eugene Stefanovich
Publisher : Walter de Gruyter GmbH & Co KG
Page : 241 pages
File Size : 51,8 Mb
Release : 2018-11-05
Category : Science
ISBN : 9783110493221

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Relativistic Quantum Dynamics by Eugene Stefanovich Pdf

In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics

Relativistic Quantum Mechanics

Author : Lawrence P. Horwitz
Publisher : Springer
Page : 214 pages
File Size : 47,5 Mb
Release : 2015-08-04
Category : Science
ISBN : 9789401772617

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Relativistic Quantum Mechanics by Lawrence P. Horwitz Pdf

This book describes a relativistic quantum theory developed by the author starting from the E.C.G. Stueckelberg approach proposed in the early 40s. In this framework a universal invariant evolution parameter (corresponding to the time originally postulated by Newton) is introduced to describe dynamical evolution. This theory is able to provide solutions for some of the fundamental problems encountered in early attempts to construct a relativistic quantum theory. A relativistically covariant construction is given for which particle spins and angular momenta can be combined through the usual rotation group Clebsch-Gordan coefficients. Solutions are defined for both the classical and quantum two body bound state and scattering problems. The recently developed quantum Lax-Phillips theory of semi group evolution of resonant states is described. The experiment of Lindner and coworkers on interference in time is discussed showing how the property of coherence in time provides a simple understanding of the results. The full gauge invariance of the Stueckelberg-Schroedinger equation results in a 5D generalization of the usual gauge theories. A description of this structure and some of its consequences for both Abelian and non-Abelian fields are discussed. A review of the basic foundations of relativistic classical and quantum statistical mechanics is also given. The Bekenstein-Sanders construction for imbedding Milgrom's theory of modified spacetime structure into general relativity as an alternative to dark matter is also studied.

Non-Relativistic Quantum Theory

Author : Kai S Lam
Publisher : World Scientific Publishing Company
Page : 460 pages
File Size : 47,5 Mb
Release : 2009-08-24
Category : Science
ISBN : 9789813107489

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Non-Relativistic Quantum Theory by Kai S Lam Pdf

This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern–Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Relativistic Quantum Mechanics. Wave Equations

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 47,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662042755

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Relativistic Quantum Mechanics. Wave Equations by Walter Greiner Pdf

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. This third edition has been slightly revised to bring the text up-to-date.

Relativistic Quantum Physics

Author : Tommy Ohlsson
Publisher : Cambridge University Press
Page : 311 pages
File Size : 46,9 Mb
Release : 2011-09-22
Category : Science
ISBN : 9781139504324

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Relativistic Quantum Physics by Tommy Ohlsson Pdf

Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Relativistic Quantum Mechanics

Author : Paul Strange
Publisher : Cambridge University Press
Page : 614 pages
File Size : 41,6 Mb
Release : 1998-09-17
Category : Science
ISBN : 0521565839

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Relativistic Quantum Mechanics by Paul Strange Pdf

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.

Non-Relativistic Quantum Mechanics

Author : Ravinder R. Puri
Publisher : Cambridge University Press
Page : 457 pages
File Size : 47,7 Mb
Release : 2017-07-04
Category : Science
ISBN : 9781107164369

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Non-Relativistic Quantum Mechanics by Ravinder R. Puri Pdf

"Introduces readers to non-relativistic quantum mechanics and its mathematical methods"--

Quantum Mechanics

Author : Lukong Cornelius Fai
Publisher : CRC Press
Page : 1404 pages
File Size : 42,8 Mb
Release : 2022-06-01
Category : Science
ISBN : 9781000590319

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Quantum Mechanics by Lukong Cornelius Fai Pdf

This book presents an accessible treatment of non-relativistic and relativistic quantum mechanics. It is an ideal textbook for undergraduate and graduate physics students, and is also useful to researchers in theoretical physics, quantum mechanics, condensed matter, mathematical physics, quantum chemistry, and electronics. This student-friendly and self-contained textbook covers the typical topics in a core undergraduate program, as well as more advanced, graduate-level topics with an elegant mathematical rigor, contemporary style, and rejuvenated approach. It balances theory and worked examples, which reinforces readers' understanding of fundamental concepts. The analytical methods employed in this book describe physical situations with mathematical rigor and in-depth clarity, emphasizing the essential understanding of the subject matter without need for prior knowledge of classical mechanics, electromagnetic theory, atomic structure, or differential equations. Key Features: • Remains accessible but incorporates a rigorous, updated mathematical treatment • Laid out in a student-friendly structure • Balances theory with its application through examples Lukong Cornelius Fai is a professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang, Cameroon. He is Head of Condensed Matter and Nanomaterials as well as the Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science in Physics and Mathematics (1991) as well as a Doctor of Science in Physics and Mathematics (1997) from Moldova State University. He is the author of over 170 scientific publications and five textbooks.

Relativistic Quantum Mechanics and Field Theory

Author : Franz Gross
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 45,7 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617340

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Relativistic Quantum Mechanics and Field Theory by Franz Gross Pdf

An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.

Relativistic Quantum Mechanics and Introduction to Field Theory

Author : Francisco J. Yndurain
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642610578

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Relativistic Quantum Mechanics and Introduction to Field Theory by Francisco J. Yndurain Pdf

This advanced textbook supplies graduate students with a primer in quantum theory. A variety of processes are discussed with concepts such as potentials, classical current distributions, prescribed external fields dealt with in the framework of relativistic quantum mechanics. Then, in an introduction to field theory, the author emphasizes the deduction of the said potentials or currents. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.

Non-Relativistic Quantum Dynamics

Author : W.O. Amrein
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401003162

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Non-Relativistic Quantum Dynamics by W.O. Amrein Pdf

The bulk of known results in spectral and scattering theory for Schrodinger operators has been derived by time-independent (also called stationary) methods, which make extensive use of re solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the time-indepen dent to the time-dependent theory, due to the discovery of new, essentially time-dependent proofs of a fair number of the principal results such as asymptotic completeness, absence of singularly con tinuous spectrum and properties of scattering cross sections. These new time-dependent arguments are somewhat simpler than the station ary ones and at the same time considerably closer to physical in tuition, in that they are based on a rather detailed description of the time evolution of states in configUration space (whence the designation "geometric methods" used by some authors). It seemed interesting to me to present some of these new meth ods from a strictly time-dependent point of view, by considering as the basic mathematical object strongly continuous unitary one parameter groups and avoiding the spectral theorem completely. The present volume may be viewed as an essay in this spirit. It is an extended version of a course taught in 1979 at the University of Geneva to undergraduate students enrolled in mathematical physics.

Relativistic Quantum Mechanics And Related Topics

Author : Eduardo Guendelman,David Owen
Publisher : World Scientific
Page : 211 pages
File Size : 40,7 Mb
Release : 2022-03-18
Category : Science
ISBN : 9789811248771

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Relativistic Quantum Mechanics And Related Topics by Eduardo Guendelman,David Owen Pdf

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.

Relativistic Quantum Mechanics and Introduction to Quantum Field Theory

Author : Anton Z. Capri
Publisher : World Scientific
Page : 194 pages
File Size : 47,6 Mb
Release : 2002
Category : Science
ISBN : 9812381376

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Relativistic Quantum Mechanics and Introduction to Quantum Field Theory by Anton Z. Capri Pdf

This invaluable textbook is divided into two parts. The first part includes a detailed discussion on the discrete transformations for the Dirac equation, as well as on the central force problem for the Dirac equation. In the second part, the external field problem is examined; pair production and vacuum polarization leading to charge renormalization are treated in detail. Relativistic Quantum Mechanic's and Introduction to Quantum Field Theory has arisen from a graduate course which the author taught for several years at the University of Alberta to students interested in particle physics and field theory.

An Introduction to Relativistic Quantum Field Theory

Author : Silvan S. Schweber
Publisher : Courier Corporation
Page : 930 pages
File Size : 46,6 Mb
Release : 2013-10-10
Category : Science
ISBN : 9780486139609

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An Introduction to Relativistic Quantum Field Theory by Silvan S. Schweber Pdf

Complete, systematic, and self-contained, this text introduces modern quantum field theory. "Combines thorough knowledge with a high degree of didactic ability and a delightful style." — Mathematical Reviews. 1961 edition.

Relativistic Quantum Mechanics

Author : Luciano Maiani,Omar Benhar
Publisher : CRC Press
Page : 310 pages
File Size : 40,5 Mb
Release : 2015-11-18
Category : Science
ISBN : 9781498722315

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Relativistic Quantum Mechanics by Luciano Maiani,Omar Benhar Pdf

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 previous courses in classical mechanics, relativity, and quantum mechanics. The introductory chapters of the book summarize the theory of special relativity and its application to the classical description of the motion of a free particle and a field. The authors then explain the quantum formulation of field theory through the simple example of a scalar field described by the Klein–Gordon equation as well as its extension to the case of spin 1⁄2 particles described by the Dirac equation. They also present the elements necessary for constructing the foundational theories of the standard model of electroweak interactions, namely quantum electrodynamics and the Fermi theory of neutron beta decay. Many applications to quantum electrodynamics and weak interaction processes are thoroughly analyzed. The book also explores the timely topic of neutrino oscillations. Logically progressing from the fundamentals to recent discoveries, this textbook provides students with the essential foundation to study more advanced theoretical physics and elementary particle physics. It will help them understand the theory of electroweak interactions and gauge theories. View the second book in this collection: Electroweak Interactions.