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Quantum Electrodynamics

Quantum Electrodynamics PDF Author: Efim Samoĭlovich Fradkin
Publisher: Springer Series in Synergetics
ISBN:
Category : Computers
Languages : en
Pages : 312

Book Description
This book contains a systematic analysis of the formalisms of quantum electro- dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is not specific to quantum electrodynamics, and can equally well be applied to any quantum field theory with an unstable vacuum. It should be noted that only macroscopic external fields are considered, whereas problems associated with the superstrong Coulomb (micro) field are not treated. As a rule, the discussion is confined to those details of the formalism and calculations that are specific to the instability property. For instance, renormalization is not discussed here since, in practical calculations, it is carried out according to standard methods. The presentation is based mainly on original research undertaken by the authors. Chapter 1 contains a general introduction to the problem. It also presents some standard information on quantum electrodynamics, which will be used later in the text. In addition, an interpretation of the concept of an external field is given, and the problems that arise when one tries to keep the interaction with the external field exactly are discussed. In Chapter 2, the perturbation expansion in powers of the radiative interac- tion is developed for the matrix elements of transition processes, taking the arbitrary external field into account exactly.

Quantum Electrodynamics

Quantum Electrodynamics PDF Author: Efim Samoĭlovich Fradkin
Publisher: Springer Series in Synergetics
ISBN:
Category : Computers
Languages : en
Pages : 312

Book Description
This book contains a systematic analysis of the formalisms of quantum electro- dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is not specific to quantum electrodynamics, and can equally well be applied to any quantum field theory with an unstable vacuum. It should be noted that only macroscopic external fields are considered, whereas problems associated with the superstrong Coulomb (micro) field are not treated. As a rule, the discussion is confined to those details of the formalism and calculations that are specific to the instability property. For instance, renormalization is not discussed here since, in practical calculations, it is carried out according to standard methods. The presentation is based mainly on original research undertaken by the authors. Chapter 1 contains a general introduction to the problem. It also presents some standard information on quantum electrodynamics, which will be used later in the text. In addition, an interpretation of the concept of an external field is given, and the problems that arise when one tries to keep the interaction with the external field exactly are discussed. In Chapter 2, the perturbation expansion in powers of the radiative interac- tion is developed for the matrix elements of transition processes, taking the arbitrary external field into account exactly.

Quantum Electrodynamics

Quantum Electrodynamics PDF Author: E.S. Fradkin
Publisher: Springer
ISBN: 9783642842580
Category : Science
Languages : en
Pages : 0

Book Description
This book contains a systematic analysis of the formalisms of quantum electro dynamics in the presence of an intense external field able to create pairs from the vacuum, and thereby violate the stability of the latter. The approach developed is not specific to quantum electrodynamics, and can equally well be applied to any quantum field theory with an unstable vacuum. It should be noted that only macroscopic external fields are considered, whereas problems associated with the superstrong Coulomb (micro) field are not treated. As a rule, the discussion is confined to those details of the formalism and calculations that are specific to the instability property. For instance, renormalization is not discussed here since, in practical calculations, it is carried out according to standard methods. The presentation is based mainly on original research undertaken by the authors. Chapter 1 contains a general introduction to the problem. It also presents some standard information on quantum electrodynamics, which will be used later in the text. In addition, an interpretation of the concept of an external field is given, and the problems that arise when one tries to keep the interaction with the external field exactly are discussed. In Chapter 2, the perturbation expansion in powers of the radiative interac tion is developed for the matrix elements of transition processes, taking the arbitrary external field into account exactly.

The Quantum Vacuum

The Quantum Vacuum PDF Author: Peter W. Milonni
Publisher: Academic Press
ISBN: 0080571492
Category : Science
Languages : en
Pages : 522

Book Description
In modern physics, the classical vacuum of tranquil nothingness has been replaced by a quantum vacuum with fluctuations of measurable consequence. In The Quantum Vacuum, Peter Milonni describes the concept of the vacuum in quantum physics with an emphasis on quantum electrodynamics. He elucidates in depth and detail the role of the vacuum electromagnetic field in spontaneous emission, the Lamb shift, van der Waals, and Casimir forces, and a variety of other phenomena, some of which are of technological as well as purely scientific importance. This informative text also provides an introduction based on fundamental vacuum processes to the ideas of relativistic quantum electrodynamics and quantum field theory, including renormalization and Feynman diagrams. Experimental as well as theoreticalaspects of the quantum vacuum are described, and in most cases details of mathematical derivations are included. Chapter 1 of The Quantum Vacuum - published in advance in The American Journal of Physics (1991)-was later selected by readers as one of the Most Memorable papers ever published in the 60-year history of the journal. This chapter provides anexcellent beginning of the book, introducing a wealth of information of historical interest, the results of which are carefully woven into subsequent chapters to form a coherent whole. Does not assume that the reader has taken advanced graduate courses, making the text accessible to beginning graduate students Emphasizes the basic physical ideas rather than the formal, mathematical aspects of the subject Provides a careful and thorough treatment of Casimir and van der Waals forces at a level of detail not found in any other book on this topic Clearly presents mathematical derivations

Probing the Quantum Vacuum

Probing the Quantum Vacuum PDF Author: Walter Dittrich
Publisher: Springer
ISBN: 9783642086861
Category : Science
Languages : en
Pages : 244

Book Description
This book is devoted to an investigation of the vacuum of quantum elec trodynamics (QED), relying on the perturbative effective action approach. If the vacuum is probed with external perturbations, the response of the system can be analyzed after averaging over the high energy degrees of freedom. This results in an effective description of the properties of the vacuum, which are comparable to the properties of a classical medium. We concentrate primarily on the physics of slowly varying fields or soft photons by integrating out the high energy degrees of freedom, i.e. the elec trons, employing Schwinger's proper time method. We derive a new represen tation of the one loop photon polarization tensor, coupling to all orders to an arbitrary constant electromagnetic field, fully maintaining the dependence on the complete set of invariants. On the basis of effective Lagrangians, we derive the light cone condition for low frequency photons propagating in strong fields. Our formalism can be extended to various external perturbations, such as temperature and Casimir situations. We give a proof of the "unified formula" for low energy phenom ena that describes the refractive indices of various perturbed quantum vacua. In the high energy domain, we observe similarities between a vacuum with a superstrong magnetic field and a magnetized plasma. The question of mea surability of the various effects is addressed; a violation of causality is not found.

Forces of the Quantum Vacuum

Forces of the Quantum Vacuum PDF Author: William M R Simpson
Publisher: World Scientific Publishing Company
ISBN: 9814644773
Category : Science
Languages : en
Pages : 276

Book Description
Forces of the Quantum Vacuum presents a number of theoretical approaches to Casimir, van der Waals and Casimir–Polder forces that have been fruitfully employed in mainstream research, and also reviews the experimental evidence for Casimir forces. Beginning with basic ideas in quantum mechanics and building its way to a sophisticated form of macroscopic QED, the book provides an inspiring training manual for graduate students to develop in a natural progression the ideas needed for modern theoretical research on Casimir forces.

Quantum Electrodynamics and Quantum Optics

Quantum Electrodynamics and Quantum Optics PDF Author: A. O. Barut
Publisher: Springer Science & Business Media
ISBN: 1461327830
Category : Science
Languages : en
Pages : 466

Book Description
The borderline of quantum electrodynamics and quantum optics offer spectacular results and problems concerning the foundations of radiation theory. Perhaps the major new viewpoint that has emerged from recent investigations is that one can now work inside a time-dependent quantum process, whereas up to now all elementary quantum processes were either stationary, or one worked with asymptotic in-and out-states, i.e. an S-matrix approach. In the-rirst part of this volume, the Quantum Electrodynamics, the present status of the main approaches to this most accurate of all physical theories are discussed: the Hamiltonian approach, the Green's function approach with particular emphasis to bound state problems, and the newer, nonperturbative approach. The latest numerical results on radiative corrections, Lamb shifts and anomalous magnetic moments are reviewed with new results for high Z atoms. Also discussed are different theoretical interpretations of the radiative phenomena as due to quantized field vacuum fluctuations or due to self energy. A small group of contributions are devoted to the physics and mathematical description of decaying or unstable states in quantum theory. This remarkable phenomenon of quantum theory still needs complete clarification, it is a time-dependent phenomenon, which can be described also by asymptotic S-matrix methods, but with complex energies.

Quantum Electrodynamics and Physics of the Vacuum

Quantum Electrodynamics and Physics of the Vacuum PDF Author: Giovanni Cantatore
Publisher: American Institute of Physics
ISBN:
Category : Computers
Languages : en
Pages : 322

Book Description
Recent results in the field of Quantum Electrodynamics (QED), and several aspects of the structure of the vaccuum, with their implementations for the standard model of particle physics and for the determination of fundamental constants, are discussed. Precision measurements using QED, such as the study of specific bound systems and the g-2 of leptons are also discussed. Experimental and theoretical physicists interested in QED will find an extensive overview of the most recent activity in QED and related fields.

Light and Vacuum

Light and Vacuum PDF Author: Constantin Meis
Publisher: World Scientific
ISBN: 9814630918
Category : Science
Languages : en
Pages : 136

Book Description
Light and Vacuum presents a synthesis of selected fundamental topics of electromagnetic wave theory and quantum electrodynamics (QED) and analyzes the main theoretical difficulties encountered to ensure a coherent mathematical description of the simultaneous wave–particle nature of light, put in evidence by the experiments. The notion and the role of the quantum vacuum, strongly related to light, are extensively investigated. Classical electrodynamics issued from Maxwell's equations revealed the necessity of introducing the notion of volume for an electromagnetic wave to stand entailing precise values of cut-off wavelengths to account for the shape and dimensions of the surrounding space. Conversely, in QED, light is considered to be composed of point particles disregarding the conceptual question on how the frequency of oscillating electric and magnetic fields may be attributed to a point particle. To conciliate these concepts, the book provides a comprehensive overview of the author's work, including innovative contributions on the quantization of the vector potential amplitude at a single photon state, the non-local simultaneous wave–particle mathematical representation of the photon and finally the quantum vacuum. The purpose of the advanced elaborations is to raise questions, give hints and answers, and finally aspire for further theoretical and experimental studies in order to improve our knowledge and understanding on the real essence of Light and Vacuum. Contents:IntroductionHistorical Survey and Experimental EvidenceBasic Principles of the Electromagnetic Wave TheoryFrom Electromagnetic Waves to Quantum ElectrodynamicsTheory, Experiments and QuestionsAnalysis of the Electromagnetic Field Quantization Process and the Photon Vector Potential. The Non-Local Photon Wave-Particle Representation and the Quantum VacuumEpilogue Readership: This book is recommended for advanced postgraduate students and researchers who are interested in Quantum Mechanics and Electrodynamics. Key Features:The main mathematical ambiguities of the quantum electrodynamics formalism are clearly put in evidence, such as: derivation of the Hamiltonian without respecting Heisenberg's commutation relations, lack of an interaction Hamiltonian between the vacuum state and the electrons, singularities … etc.The basic aspect of Quantum Electrodynamics related to the quantization of the vector potential amplitude of the electromagnetic field to a single photon state α0k (ωk) = ξωk, which derives directly from Maxwell's equations, is uniquely described in this manuscriptA coherent mathematical coupling of the electromagnetic wave theory and quantum electrodynamics is fully provided resulting in a unique simultaneous wave particle formalism for the photon, in agreement with the experimental evidenceThe quantum vacuum issues arise naturally from the vector potential quantization procedure and corresponds to a very low energy density, compatible with recent astrophysical observations. Furthermore, it is explicitly expressed as a function of creation and annihilation operators permitting direct interactions with the electronsKeywords:Light;Electromagnetic Field;Second Quantization;Photons;Electrons;Quantum Vacuum

Cavity Quantum Electrodynamics

Cavity Quantum Electrodynamics PDF Author: Sergio M. Dutra
Publisher: John Wiley & Sons
ISBN: 0471713473
Category : Science
Languages : en
Pages : 408

Book Description
What happens to light when it is trapped in a box? Cavity Quantum Electrodynamics addresses a fascinating question inphysics: what happens to light, and in particular to itsinteraction with matter, when it is trapped inside a box? With theaid of a model-building approach, readers discover the answer tothis question and come to appreciate its important applications incomputing, cryptography, quantum teleportation, andopto-electronics. Instead of taking a traditional approach thatrequires readers to first master a series of seemingly unconnectedmathematical techniques, this book engages the readers' interestand imagination by going straight to the point, introducing themathematics along the way as needed. Appendices are provided forthe additional mathematical theory. Researchers, scientists, and students of modern physics can referto Cavity Quantum Electrodynamics and examine the field thoroughly.Several key topics covered that readers cannot find in any otherquantum optics book include: * Introduction to the problem of the "vacuum catastrophe" and thecosmological constant * Detailed up-to-date account of cavity QED lasers andthresholdless lasing * Examination of cavities with movable walls * First-principles discussion about cavity QED in opencavities * Pedagogical account of microscopic quantization indielectrics Complementing the coverage of the most advanced theory andtechniques, the author provides context by discussing thehistorical evolution of the field and its discoveries. In thatspirit, "recommended reading," provided in each chapter, leadsreaders to both contemporary literature as well as key historicalpapers. Despite being one of many specialties within physics, cavityquantum electrodynamics serves as a window to many of thefundamental issues of physics. Cavity Quantum Electrodynamics willserve as an excellent resource for advanced undergraduate quantummechanics courses as well as for graduate students, researchers,and scientists who need a comprehensive introduction to the field.

Quantum revolution

Quantum revolution PDF Author: G. Venkataraman
Publisher: Universities Press
ISBN: 9788173710032
Category : Quantum electrodynamics
Languages : en
Pages : 148

Book Description