Relativistic Quantum Mechanics And Related Topics

Author : Eduardo Guendelman,David Owen
Publisher : World Scientific
Page : 211 pages
File Size : 41,8 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.

Author : Paul Strange
Publisher : Cambridge University Press
Page : 614 pages
File Size : 48,6 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.

Author : V Devanathan
Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
Page : 380 pages
File Size : 42,9 Mb
Release : 2018-06-08
Category : Science
ISBN : 9781783324446

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Textbook of Relativistic Quantum Physics by V Devanathan Pdf

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.

Author : Armin Wachter
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 44,8 Mb
Release : 2010-09-29
Category : Science
ISBN : 9789048136452

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Relativistic Quantum Mechanics by Armin Wachter Pdf

* Which problems do arise within relativistic enhancements of the Schrödinger theory, especially if one adheres to the usual one-particle interpretation? * To what extent can these problems be overcome? * What is the physical necessity of quantum field theories? In many textbooks, only insufficient answers to these fundamental questions are provided by treating the relativistic quantum mechanical one-particle concept very superficially and instead introducing field quantization as soon as possible. By contrast, this book emphasizes particularly this point of view (relativistic quantum mechanics in the ''narrow sense''): it extensively discusses the relativistic one-particle view and reveals its problems and limitations, therefore illustrating the necessity of quantized fields in a physically comprehensible way. The first two chapters contain a detailed presentation and comparison of the Klein-Gordon and Dirac theory, always with a view to the non-relativistic theory. In the third chapter, we consider relativistic scattering processes and develop the Feynman rules from propagator techniques. This is where the indispensability of quantum field theory reasoning becomes apparent and basic quantum field theory concepts are introduced. This textbook addresses undergraduate and graduate Physics students who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in the "narrow sense" and its connection to quantum field theories. Each section contains a short summary and exercises with solutions. A mathematical appendix rounds out this excellent textbook on relativistic quantum mechanics.

Author : Lawrence P. Horwitz
Publisher : Springer
Page : 214 pages
File Size : 50,9 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.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 46,8 Mb
Release : 2000-06-15
Category : Medical
ISBN : 3540674578

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Relativistic Quantum Mechanics. Wave Equations by Walter Greiner Pdf

This revised and up to date classic reference lays the foundation for subsequent studies in advanced quantum mechanics and field theory, offering problems and solutions to guide readers through Greiner's lecture texts. Includes 87 worked examples and exercises. 443 p.

Author : T-Y Wu,W-Y P Hwang
Publisher : World Scientific Publishing Company
Page : 420 pages
File Size : 51,9 Mb
Release : 1991-03-06
Category : Science
ISBN : 9789813103535

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Relativistic Quantum Mechanics and Quantum Fields by T-Y Wu,W-Y P Hwang Pdf

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. Request Inspection Copy

Author : Anton Z. Capri
Publisher : World Scientific
Page : 194 pages
File Size : 40,8 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.

Author : W-Y Pauchy Hwang,Ta-You Wu
Publisher : World Scientific Publishing Company
Page : 416 pages
File Size : 42,7 Mb
Release : 2018-04-26
Category : Science
ISBN : 9789813270046

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Relativistic Quantum Mechanics and Quantum Fields by W-Y Pauchy Hwang,Ta-You Wu Pdf

Author : Luis Grave de Peralta
Publisher : Springer Nature
Page : 177 pages
File Size : 42,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031370731

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Relativistic and Non-Relativistic Quantum Mechanics by Luis Grave de Peralta Pdf

Author : Franz Gross
Publisher : John Wiley & Sons
Page : 643 pages
File Size : 49,5 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.

Author : Francisco J. Yndurain
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 53,5 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.

Author : Luciano Maiani,Omar Benhar
Publisher : CRC Press
Page : 310 pages
File Size : 41,8 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.

Author : Lawrence P. Horwitz,Rafael I. Arshansky
Publisher : Morgan & Claypool Publishers
Page : 106 pages
File Size : 50,9 Mb
Release : 2018-05-31
Category : Science
ISBN : 9781681749471

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Relativistic Many-Body Theory and Statistical Mechanics by Lawrence P. Horwitz,Rafael I. Arshansky Pdf

In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.

Author : W.T. Grandy
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401133029

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Relativistic Quantum Mechanics of Leptons and Fields by W.T. Grandy Pdf

The material contained in this work concerns relativistic quantum mechanics, and as such pertains to classical fields. On the one hand it is meant to serve as a text on the subject, a desire stemming from the author's fruitless searches for an adequate, up-to-date reference when lecturing on these topics. At times the supplementary material was found to exceed by far that in the assigned text. On the other hand, there is some flavor of a monograph to what follows, most particularly in the later chapters, for a major goal is to demonstrate just how far we can advance our understanding of the behavior of stable particles and their interactions without introducing quantized fields. Those wishing to describe the world in this way may view the result as a point of departure, despite the fact that their wish remains unfulfilled. Confirmed quantum-field theorists, however, will doubtless view it as a summary of just why they feel compelled to quantize the fields. Approximately half the book is devoted to the single-particle Dirac equation and its solutions. A great deal of detail is provided in this respect, and the discus sion is reasonably comprehensive. The Dirac equation is extraordinarily important in its own right, particularly as a basis for quantum electrodynamics (QED), and is thus worthy of extensive study.