From The Lorentz Transformation To The Dirac Equation

Author : Daniel S Nydick,K Thomas R Davies
Publisher : Unknown
Page : 170 pages
File Size : 43,6 Mb
Release : 2020-05-25
Category : Electronic
ISBN : 9798645762230

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From the Lorentz Transformation to the Dirac Equation by Daniel S Nydick,K Thomas R Davies Pdf

This book on Special Relativity, with unique chapters on the Dirac equation and General Relativity, is especially suitable for a one-semester undergraduate physics course on Special Relativity (with perhaps some coverage of the qualitative features of General Relativity). It can also be used in a combination of undergraduate courses including modern physics, particle physics, optics, and Quantum Mechanics; or in classical mechanics at the physics graduate level. The book also includes coverage of the history of relativity, particularly with respect to developments in electricity and magnetism, particle physics, and cosmology. This is the revised second edition.

Author : K. Davies,Daniel Nydick
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 49,6 Mb
Release : 2015-11-07
Category : Electronic
ISBN : 1517772176

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From the Lorentz Transformation to the Dirac Equation by K. Davies,Daniel Nydick Pdf

This book on Special Relativity, with unique chapters on the Dirac equation and General Relativity, is especially suitable for a one-semester undergraduate physics course on Special Relativity (with perhaps some coverage of the qualitative features of General Relativity). It can also be used in a combination of undergraduate courses including modern physics, particle physics, optics, and Quantum Mechanics; or in classical mechanics at the physics graduate level. The book also includes coverage of the history of relativity, particularly with respect to developments in electricity and magnetism, particle physics, and cosmology.

Author : Peter Collas,David Klein
Publisher : Springer
Page : 109 pages
File Size : 54,5 Mb
Release : 2019-03-21
Category : Science
ISBN : 9783030148256

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The Dirac Equation in Curved Spacetime by Peter Collas,David Klein Pdf

This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime dimensions. It clarifies the subject by carefully pointing out the various conventions used and explaining how they are related to each other. The prerequisites are familiarity with general relativity and an exposure to the Dirac equation at the level of special relativistic quantum mechanics, but a review of this latter topic is given in the first chapter as a reference and framework for the physical interpretations that follow. Worked examples and exercises with solutions are provided. Appendices include reviews of topics used in the body of the text. This book should benefit researchers and graduate students in general relativity and in condensed matter.

Author : Gerrit Coddens
Publisher : World Scientific
Page : 404 pages
File Size : 51,8 Mb
Release : 2015-06-29
Category : Science
ISBN : 9781783266395

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From Spinors To Quantum Mechanics by Gerrit Coddens Pdf

From Spinors to Quantum Mechanics discusses group theory and its use in quantum mechanics. Chapters 1 to 4 offer an introduction to group theory, and it provides the reader with an exact and clear intuition of what a spinor is, showing that spinors are just a mathematically complete notation for group elements. Chapter 5 contains the first rigorous derivation of the Dirac equation from a simple set of assumptions. The remaining chapters will interest the advanced reader who is interested in the meaning of quantum mechanics. They propose a novel approach to the foundations of quantum mechanics, based on the idea that the meaning of the formalism is already provided by the mathematics.In the traditional approach to quantum mechanics as initiated by Heisenberg, one has to start from a number of experimental results and then derive a set of rules and calculations that reproduce the observed experimental results. In such an inductive approach the underlying assumptions are not given at the outset. The reader has to figure them out, and this has proven to be difficult. The book shows that a different, bottom-up approach to quantum mechanics is possible, which merits further investigation as it demonstrates that with the methods used, the reader can obtain the correct results in a context where one would hitherto not expect this to be possible.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,5 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9789814478649

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A Broader View of Relativity by Anonim Pdf

Author : Young Suh Kim,Marilyn E Noz
Publisher : World Scientific
Page : 205 pages
File Size : 41,7 Mb
Release : 2018-09-18
Category : Science
ISBN : 9789813237728

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New Perspectives On Einstein's E = Mc2 by Young Suh Kim,Marilyn E Noz Pdf

Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is 'Lorentz-covariant.' As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.

Author : Bernd Thaller
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 55,5 Mb
Release : 2013-12-01
Category : Science
ISBN : 9783662027530

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The Dirac Equation by Bernd Thaller Pdf

Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.

Author : Eduardo Guendelman,David Owen
Publisher : World Scientific
Page : 211 pages
File Size : 42,8 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 : Voja Radovanovic
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 52,9 Mb
Release : 2006-02-23
Category : Science
ISBN : 9783540290636

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Problem Book in Quantum Field Theory by Voja Radovanovic Pdf

The book deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. It contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. The solutions are presented in a systematic and complete manner.

Author : W.T. Grandy
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 46,6 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.

Author : Samuel D Lindenbaum
Publisher : World Scientific Publishing Company
Page : 355 pages
File Size : 46,8 Mb
Release : 1999-04-13
Category : Science
ISBN : 9789813105461

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Lecture Notes On Quantum Mechanics by Samuel D Lindenbaum Pdf

This book is written based on lecture notes covering three to four semesters of graduate courses in quantum mechanics. The author sets out by explaining the physical concepts of quantum mechanics, and then goes on to describe the mathematical formalism and present illustrative examples of the ideas and methods that serve to amplify points discussed in the text. Exercises, with solutions, are included.The chapters are not independent, but build on one another. Subjects range from the failures of classical theory to second quantization, including chapters on the Dirac theory and Feynman diagrams. The book is intended for use as a graduate level text as well as a reference.

Author : Anton Z. Capri
Publisher : World Scientific
Page : 194 pages
File Size : 51,9 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 : Fayyazuddin
Publisher : World Scientific
Page : 510 pages
File Size : 41,6 Mb
Release : 1990
Category : Science
ISBN : 9971507528

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Quantum Mechanics by Fayyazuddin Pdf

The book is a text on quantum mechanics. It starts from an elementary level and gradually develops into advanced level. The difficult concepts are progressively developed. They are not glossed over but are explained thoroughly. The uniformity of treatment enables the reader to go over difficult and advanced topics without strain. The emphasis is on the basic concepts and the methodology rather than on specific applications.

Author : Tino Ahrens
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 46,7 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781461544654

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From Dirac to Neutrino Oscillations by Tino Ahrens Pdf

1bis text is meant to be a view of the quantum mechanical fonnalism as it develops with the successive introduction of different types oftransfonnations. In particular, it is meant to help the readers with three tasks: acquainting themselves with a general and direct approach to the quantum mechanics of spin one-half and spin-one particles, primarily leptons, photons and massive vector bosons, and to some extent quarks; finding out what some of the related areas of current research interest are; and, last and foremost, trying to understand the subject, beginning with and stressing the principles involved. The exposition is based on finite-dimensional representations of the homogeneous Lorentz group, and the subsequent introduction of gauge transformations, of the Abelian and non Abelian varieties. Reference to classical mechanics is avoided. Acting on the simple basis spinors and vectors, Lorentz transfonnations generate wave and field functions. Equations are obtained by the relativistic generalization of the addition of angular momenta, the wave or field functions being the solutions. For zero mass the equations may be obtained as the limits of the equations for the massive cases or by the application of the Euclidian group in two dimensions. The latter approach is illuminating in that it uncovers a loss in generality resulting from the former. Identifying momenta as eigenvalues of translations demonstrates covariance under the inhomogeneous Lorentz or Poincare group. Various representations of wave and field functions are given.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 47,7 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.