Quantum Electrodynamics

Author: Richard P. Feynman
Publisher: CRC Press
ISBN: 0429961790
Size: 50.11 MB
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This classic work presents the main results and calculational procedures of quantum electrodynamics in a simple and straightforward way. Designed for the student of experimental physics who does not intend to take more advanced graduate courses in theoretical physics, the material consists of notes on the third of a three-semester course given at the California Institute of Technology.

Foundations Of Classical And Quantum Electrodynamics

Author: Igor N. Toptygin
Publisher: John Wiley & Sons
ISBN: 3527677518
Size: 77.20 MB
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This advanced textbook covers many fundamental, traditional and new branches of electrodynamics, as well as the related fields of special relativity, quantum mechanics and quantum electrodynamics. The book introduces the material at different levels, oriented towards 3rd-4th year bachelor, master, and PhD students. This is so as to describe the whole complexity of physical phenomena, instead of a mosaic of disconnected data. The required mathematical background is collated in Chapter 1, while the necessary physical background is included in the main text of the corresponding chapters and also given in appendices. The content is based on teaching material tested on students over many years, and their training to apply general theory for solving scientific and engineering problems. To this aim, the book contains approximately 800 examples and problems, many of which are described in detail. Some of these problems are designed for students to work on their own with only the answers and descriptions of results, and may be solved selectively. The examples are key ingredients to the theoretical course; the user should study all of them while reading the corresponding chapters. Equally suitable as a reference for researchers specialized in science and engineering.

Advanced Quantum Mechanics

Author: Reinhold Blumel
Publisher: Jones & Bartlett Learning
ISBN: 1934015520
Size: 38.14 MB
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This book provides a coherent introduction to Gutzwiller’s trace formula accessible to well-prepared science, mathematics, and engineering students who have taken introductory courses in linear algebra, classical, and quantum mechanics. In addition to providing an enrichment of the undergraduate curriculum, this book may serve as the primary text for graduate courses on semiclassical methods. Since periodic-orbit expansions may be used to solve all types of wave systems that typically occur in mathematics, phyics, and engineering, this book is attractice for professional scientists and engineers as well. Following a thorough review of elementary concepts in classical and quantum mechanics the reader is introduced to the idea of classical periodic orbits, the foundation of Gutzwiller’s approach to quantum spectra. The trace formula itself is derived following an introduction to Feynman’s path integrals. Numerous applications, including the exact solutions of “unsolvable” one-dimensional quantum problems, illustrate the power of Gutzwiller’s method. Worked examples throughout the text illustrate the material and provide immediate “hands-on” demonstrations of tools and concepts just learned. Problems at the end of each section invite the reader to consolidate the acquired knowledge.

Selected Papers On Quantum Electrodynamics

Author: Julian Schwinger
Publisher: Courier Corporation
ISBN: 0486604446
Size: 18.41 MB
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This monumental collection of 34 historical papers on quantum electrodynamics features contributions by the 20th century's leading physicists: Dyson, Fermi, Feynman, Foley, Oppenheimer, Pauli, Weisskopf, and others. Twenty-nine are in English, three in German, and one each in French and Italian. Editor Julian Schwinger won a Nobel Prize for his pioneering work in quantum electrodynamics.

Classical Electrodynamics

Author: Julian Schwinger
Publisher: Westview Press
ISBN: 0738200565
Size: 18.31 MB
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This text for the graduate classical electrodynamics course was left unfinished upon Julian Schwinger's death in 1994, but was completed by his coauthors, who have brilliantly recreated the excitement of Schwinger's novel approach. Classical Electrodynamics captures Schwinger's inimitable lecturing style, in which everything flows inexorably from what has gone before. An essential resource for both physicists and their students, the book includes a ?Reader's Guide”, which describes the major themes in each chapter, suggests a possible path through the book, and identifies topics for inclusion in, and exclusion from, a given course, depending on the instructor's preference. Carefully constructed problems complement the material of the text, and introduce new topics. The book will be of great value to all physicists, from first-year graduate students to senior researchers, and to all those interested in electrodynamics, field theory, and mathematical physics.

Advanced Quantum Mechanics

Author: Freeman J. Dyson
Publisher: World Scientific
ISBN: 9814383422
Size: 10.69 MB
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Renowned physicist and mathematician Freeman Dyson is famous for his work in quantum mechanics, nuclear weapons policy and bold visions for the future of humanity. In the 1940s, he was responsible for demonstrating the equivalence of the two formulations of quantum electrodynamics OCo Richard Feynman''s diagrammatic path integral formulation and the variational methods developed by Julian Schwinger and Sin-Itiro Tomonoga OCo showing the mathematical consistency of QED. This invaluable volume comprises the legendary lectures on quantum electrodynamics first given by Dyson at Cornell University in 1951. The late theorist Edwin Thompson Jaynes once remarked, OC For a generation of physicists they were the happy medium: clearer and better motivated than Feynman, and getting to the point faster than SchwingerOCO. This edition has been printed on the 60th anniversary of the Cornell lectures, and includes a foreword by science historian David Kaiser, as well as notes from Dyson''s lectures at the Les Houches Summer School of Theoretical Physics in 1954. The Les Houches lectures, described as a supplement to the original Cornell notes, provide a more detailed look at field theory, a careful and rigorous derivation of Fermi''s Golden Rule, and a masterful treatment of renormalization and Ward''s Identity. Future generations of physicists are bound to read these lectures with pleasure, benefiting from the lucid style that is so characteristic of Dyson''s exposition.

Quantum Statistical Mechanics

Author: Leo P. Kadanoff
Publisher: CRC Press
ISBN: 0429972849
Size: 61.49 MB
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Green's Function Methods in Equilibrium and Nonequilibrium Problems

Quantum Electrodynamics

Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 3662052466
Size: 16.26 MB
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Since the need for a third edition of this book has arisen, we have endeavoured to improve and extend it in several ways. At many places small changes were made, misprints have been corrected, and references have been added. In Chap. 5 new theoretical and experimental results on the Lamb shift in heavy atoms and on the anomalous magnetic moment of the muon are reported. We have also added a number of new topics in Chaps. 3, 5, and 7 in the form of examples and exercises. Example 3. 19 contains a detailed treatment of electron-positron pair production in the collision of a high-energy photon with a laser beam. This is supplemented by Exercise 3. 20 where a closed solution of the Dirac equation in the field of a plane wave is derived. Furthermore, Example 5. 4 on the running coupling constant in QED and Example 7. 6 on the supercritial point charge prob lem have been added. Finally, Example 7. 8 treats the birefringence of the QED vacuum in a strong magnetic field. We thank all colleagues and readers who have informed us about misprints in the book and are grateful to the team at Springer-Verlag for expertly handling the preparation of this new edition. Frankfurt am Main, Walter Greiner August 2002 Joachim Reinhardt Preface to the Second Edition The need for a second edition of our text on Quantum Electrodynamics has given us the opportunity to implement some corrections and amendments.

Advanced Quantum Mechanics

Author: Rainer Dick
Publisher: Springer
ISBN: 3319256750
Size: 29.84 MB
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In this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition a mplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes. Quantization is first discussed for the Schrödinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrödinger field theory is not only important for condensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of the Maxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chemistry, and materials science because it naturally separates the effects of Coulomb interactions, exchange interactions, and photon scattering. The appendices contain additional material that is usually not found in standard quantum mechanics textbooks, including a completeness proof for eigenfunctions of one-dimensional Sturm-Liouville problems, logarithms of matrices, and Green’s functions in different dimensions.

Practical Quantum Electrodynamics

Author: Douglas M. Gingrich
Publisher: CRC Press
ISBN: 1420010689
Size: 18.37 MB
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Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.