Download or read book On the Nonrelativistic Limit of Quantum Electrodynamics written by Nadine Suzan Cetin and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum electrodynamics (QED) is a quantum field theory describing light-matter interaction processes on all energy scales. In QED, not only photons are represented as occupied modes of a quantum field, but also electrons (matter) and positrons (antimatter). The necessity of the introduction of antimatter, which goes back to P.A.M. Dirac, has finally the consequence that the QED quantum field cannot be decomposed into its components (particles and photons), since in this sector of light-matter interactions there are processes allowed which violate the particle number conservation. This radically distinguishes QED from the low-energy sector of the light-matter interactions on the energy scale of atomic physics. Starting from the QED Hamiltonian in the Coulomb gauge, a unitary transformation is therefore sought that leads to a unitary equivalent QED Hamiltonian that manifestly preserves the particle number. This is feasible applying Wegner's flow equation in combination with perturbation theory, with the fine structure constant serving as the expansion parameter. In this way, first, high-energy photons, and second, modes of high matter and antimatter densities are eliminated from the QED quantum field up to second order. The resulting Hamiltonian preserves the particle number, is completely symmetric in all its constituents and in all interactions, and also includes terms which renormalize the bare mass of the electron (or the positron). Since this Hamiltonian is still in the Dirac representation, the matter and antimatter degrees of freedom must be decoupled from each other with the help of the Eriksen transformation. By this decoupling, the bare mass of the electron is consistently renormalized, and the anomalous magnetic moment is found in agreement with the Schwinger result. It is thus possible to establish the nonrelativistic limit of full QED as the low-energy sector of light-matter interaction processes in which the electron (or positron) can be interpreted as a classical point particle with the measurable attributes of mass, charge and spin, and in which the particle number is a conservation quantity.
Download or read book On the Nonrelativistic Limit of Quantum Electrodynamics written by Nadine Suzan Cetin and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Practical Quantum Electrodynamics written by Douglas M. Gingrich and published by CRC Press. This book was released on 2006-05-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Potential Scattering as the Non relativistic Limit of Quantum Electrodynamics written by Ted Ronald Ivan Greenwood and published by . This book was released on 1970 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Electrodynamics written by V B Berestetskii and published by Elsevier. This book was released on 2012-12-02 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.
Download or read book Quantum Electrodynamics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2008-11-26 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are pleased by the positive resonance of our book which now necessitates a fourth edition. We have used this opportunity to implement corrections of misprints and amendments at several places, and to extend and improve the discussion of many of the exercises and examples. We hope that our presentation of the method of equivalent photons (Example 3. 17), the form factor of the electron (Example 5. 7), the infrared catastrophe (Example 5. 8) and the energy shift of atomic levels (Example 5. 9)arenow even better to understand. The new Exercise 5. 10 shows in detail how to arrive at the non-relativistic limit for the calculation of form factors. Moreover, we have brought up-to-date the Biographical Notes about physicists who have contributed to the dev- opment of quantum electrodynamics, and references to experimental tests of the t- ory. For example, there has been recent progress in the determination of the electric and magnetic form factors of the proton (discussed in Exercise 3. 5 on the Rosenbluth formula) and the Lamb shift of high-Z atoms (discussed in Example 5. 9 on the energy shift of atomic levels), while the experimental veri cation of the birefringence of the QED vacuum in a strong magnetic eld (Example 7. 8) remains unsettled and is a topic of active ongoing research.
Download or read book Relativistic and Non Relativistic Quantum Mechanics written by Luis Grave de Peralta and published by Springer Nature. This book was released on with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonrelativistic Quantum Mechanics written by Anton Z. Capri and published by World Scientific. This book was released on 2002 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main unique feature of this book is its discussion of Hilbert space and rigged Hilbert space. Suitable for advanced undergraduate students as well as graduate students.
Download or read book A Mathematical Study of the Non relativistic Limit in Quantum Mechanics written by Ross Joseph Cirincione and published by . This book was released on 1979 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Electrodynamics written by Iwo Białynicki-Birula and published by Elsevier. This book was released on 2013-10-22 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Electrodynamics focuses on the formulation of quantum electrodynamics (QED) in its most general and most abstract form: relativistic quantum field theory. It describes QED as a program, rather than a closed theory, that rests on the theory of the quantum Maxwellian field interacting with given (external) classical sources of radiation and on the relativistic quantum mechanics of electrons interacting with a given (external) classical electromagnetic field. Comprised of eight chapters, this volume begins with an introduction to the fundamental principles of quantum theory formulated in a general, abstract fashion. The following chapters consider non-relativistic quantum mechanics; the theory of the electromagnetic field interacting with given sources of radiation; the quantum mechanics of particles; and the relativistic quantum mechanics of mutually non-interacting electrons moving in a given electromagnetic field. The formulation of QED is then described, paying particular attention to perturbation theory and Feynman diagrams and electron-photon processes. The final two chapters deal with renormalization theory and applications of QED. This book is addressed to readers who are familiar with quantum mechanics and classical electrodynamics at the level of university courses.
Download or read book Introduction to Electrodynamics and Radiation written by Walter T. Jr. Grandy and published by Elsevier. This book was released on 2012-12-02 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Electrodynamics and Radiation introduces the reader to electrodynamics and radiation, with emphasis on the microscopic theory of electricity and magnetism. Nonrelativistic quantum electrodynamics (QED) is presented as a logical outgrowth of the classical theory, both relativistic and nonrelativistic. The advanced mathematical and diagrammatic techniques of the relativistic quantum field theory are also described in a simple and easily understood manner. Comprised of 16 chapters, this book opens with an overview of the special theory of relativity and some of its consequences. The following chapters deal with classical relativistic electrodynamics, touching on topics such as tensor analysis and Riemannian spaces; radiation from charged particles; radiation scattering from electrons; and the classical theory of charged particles. The second part of the book is entirely quantum mechanical in outlook, beginning with the quantization of the Hamiltonian formulation of classical electrodynamics. The many-body formalism leading to Fock-space techniques is also considered, along with self-energies and renormalization. The final chapter is devoted to the covariant formulation of QED as well as the validity of QED. This monograph is written primarily for graduate students in elementary classical and quantum mechanics, electricity and magnetism, and modern physics courses.
Download or read book Guide to Essential Math written by Sy M. Blinder and published by Newnes. This book was released on 2013-02-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. Use of proven pedagogical techniques developed during the author’s 40 years of teaching experience New practice problems and exercises to enhance comprehension Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables
Download or read book The Theory of Photons and Electrons written by Josef M. Jauch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the discovery of the corpuscular nature of radiation by Planck more than fifty years ago the quantum theory of radiation has gone through many stages of development which seemed to alternate between spectacular success and hopeless frustration. The most recent phase started in 1947 with the discovery of the electromagnetic level shifts and the realization that the exist ing theory, when properly interpreted, was perfectly adequate to explain these effects to an apparently unlimited degree of accuracy. This phase has now reached a certain conclusion: for the first time in the checkered history of this field of research it has become possible to give a unified and consistent presen tation of radiation theory in full conformity with the principles of relativity and quantum mechanics. To this task the present book is devoted. The plan for a book of this type was conceived during the year 1951 while the first-named author (J. M. J. ) held a Fulbright research scholarship at Cambridge University. During this year of freedom from teaching and other duties he had the opportunity of conferring with physicists in many different countries on the recent developments in radiation theory. The comments seemed to be almost unanimous that a book on quantum electrodynamics at the present time would be of inestimable value to physicists in many parts of the world. However, it was not until the spring of 1952 that work on the book began in earnest.
Download or read book Relativistic Quantum Mechanics written by Paul Strange and published by Cambridge University Press. This book was released on 1998-09-17 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Relativistic Quantum Mechanics and Introduction to Field Theory written by Francisco J. Yndurain and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Non relativistic Limit of a Dirac Maxwell Operator in Relativistic Quantum Electrodynamics written by Asao Arai and published by . This book was released on 2001 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Electrodynamics Atoms Lasers And Gravity written by Ulrich D Jentschura and published by World Scientific. This book was released on 2022-05-30 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to a variety of topics surrounding quantum field theory, notably its role in bound states, laser physics, and the gravitational coupling of Dirac particles. It discusses some rather sophisticated concepts based on detailed derivations which cannot be found elsewhere in the literature.It is suitable for undergraduates, graduates, and researchers working on general relativity, relativistic atomic physics, quantum electrodynamics, as well as theoretical laser physics.
