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Relativistic Quantum Mechanics And Field Theory


Relativistic Quantum Mechanics And Field Theory
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Relativistic Quantum Mechanics And Field Theory


Relativistic Quantum Mechanics And Field Theory
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Author : Franz Gross
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11

Relativistic Quantum Mechanics And Field Theory written by Franz Gross and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.


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books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics.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 Physics


Relativistic Quantum Physics
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Author : Tommy Ohlsson
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22

Relativistic Quantum Physics written by Tommy Ohlsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.


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 And Introduction To Field Theory


Relativistic Quantum Mechanics And Introduction To Field Theory
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Author : Francisco J. Yndurain
language : en
Publisher: Springer
Release Date : 2011-10-02

Relativistic Quantum Mechanics And Introduction To Field Theory written by Francisco J. Yndurain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-02 with Mathematics categories.


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.



Relativistic Quantum Mechanics And Field Theory Of Arbitrary Spin


Relativistic Quantum Mechanics And Field Theory Of Arbitrary Spin
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Author : Volodimir Simulik
language : en
Publisher:
Release Date : 2020-04-21

Relativistic Quantum Mechanics And Field Theory Of Arbitrary Spin written by Volodimir Simulik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-21 with categories.


Foundations of the relativistic quantum mechanics and field theory of arbitrary spin are presented. New relativistic wave equations without redundant components for the particle-antiparticle doublets of arbitrary spin are considered. The comparison with known arbitrary spin equations of Bhabha, Bargman-Wigner and with Pauli-Fierz, Rarita-Schwinger equations (for the spin s=3/2) demonstrates the advantages of the presented approach. The special procedure of synthesis of higher spin relativistic wave equations is suggested. New equations are considered on three levels of (i) relativistic canonical quantum mechanics, (ii) canonical Foldy-Wouthuysen type field theory, and (iii) manifestly covariant field theory. The derivation of field equations based on the start from the relativistic canonical quantum mechanics is given. The corresponding transition operator, which is the extended Foldy-Wouthuysen transformation, is suggested and described. This model of relativistic quantum mechanics is described here on the level of von Neumann's consideration of non-relativistic case. The Lagrange approach for the spinor field in the Foldy-Wouthuysen representation is analyzed. The proof of the Fermi-Bose duality property of a few main equations of field theory, which before were known to have only single Fermi (or single Bose) property, is given. Hidden Bose properties (symmetry, solutions, and conservation laws) of the Dirac equation are proved. Both cases of non-zero and zero mass are considered. New useful mathematical objects, which are the pure matrix representations of the 64-dimensional Clifford and 28-dimensional SO(8) algebras over the field of real numbers, are put into consideration. The application of such algebras to the Dirac and Dirac-like equations properties analysis is demonstrated. Fermi and Bose SO(4) symmetries of the relativistic hydrogen atom are found. New symmetries and solutions of the Maxwell equations are considered. The Maxwell equations in the form, having maximal symmetry, are suggested and described. The application of such field-strength equations to the atomic microworld phenomena is demonstrated. On the basis of such Maxwell system the relativistic hydrogen atom spectrum and quantum properties of this atom are described. The Sommerfeld-Dirac fine structure formula, Plank constant and the Bohr postulates are derived in the frameworks of classical electrodynamics. The limits and boarders of classical physics applications in inneratomic microworld are discussed. In order to determine the place of our approach among other investigations the 26 variants of the Dirac equation derivation are considered.



Relativistic Quantum Mechanics Of Leptons And Fields


Relativistic Quantum Mechanics Of Leptons And Fields
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Author : W.T. Grandy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Relativistic Quantum Mechanics Of Leptons And Fields written by W.T. Grandy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


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.



Quantum Mechanics And Quantum Field Theory


Quantum Mechanics And Quantum Field Theory
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Author : Jonathan Dimock
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03

Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-03 with Science categories.


Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.



Relativistic Quantum Mechanics And Introduction To Quantum Field Theory


Relativistic Quantum Mechanics And Introduction To Quantum Field Theory
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Author : Anton Z Capri
language : en
Publisher: World Scientific Publishing Company
Release Date : 2002-11-12

Relativistic Quantum Mechanics And Introduction To Quantum Field Theory written by Anton Z Capri and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-12 with Science categories.


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 Mechanics 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.



Relativistic Quantum Mechanics


Relativistic Quantum Mechanics
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Author : Armin Wachter
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29

Relativistic Quantum Mechanics written by Armin Wachter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Science categories.


* 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.



Relativistic Quantum Mechanics And Quantum Fields


Relativistic Quantum Mechanics And Quantum Fields
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Author : Ta-you Wu
language : en
Publisher: World Scientific Publishing Company
Release Date : 1991-03-06

Relativistic Quantum Mechanics And Quantum Fields written by Ta-you Wu and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-06 with Science categories.


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.



Relativistic Quantum Mechanics And Introduction To Quantum Field Theory


Relativistic Quantum Mechanics And Introduction To Quantum Field Theory
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Author : Anton Z. Capri
language : en
Publisher: World Scientific
Release Date : 2002

Relativistic Quantum Mechanics And Introduction To Quantum Field Theory written by Anton Z. Capri and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


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.