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Dispersion Relations And Their Connection With Causality
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Book Synopsis Causality and Dispersion Relations by : Nussenzveig
Download or read book Causality and Dispersion Relations written by Nussenzveig and published by Academic Press. This book was released on 1972-12-15 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causality and Dispersion Relations
Book Synopsis A Brief Introduction to Dispersion Relations by : José Antonio Oller
Download or read book A Brief Introduction to Dispersion Relations written by José Antonio Oller and published by Springer. This book was released on 2019-03-22 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.
Book Synopsis Causality Rules by : Vladimir Pascalutsa
Download or read book Causality Rules written by Vladimir Pascalutsa and published by Morgan & Claypool Publishers. This book was released on 2018-07-06 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering of light by light is a fundamental process arising at the quantum level through vacuum fluctuations. This short book will explain how, remarkably enough, this quantum process can entirely be described in terms classical quantities. This description is derived from general principles, such as causality, unitarity, Lorentz, and gauge symmetries. The reader will be introduced into a rigorous formulation of these fundamental concepts, as well as their physical interpretation and applications.
Book Synopsis Causal Reasoning in Physics by : Mathias Frisch
Download or read book Causal Reasoning in Physics written by Mathias Frisch and published by Cambridge University Press. This book was released on 2014-10-09 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book argues, partly through detailed case studies, for the importance of causal reasoning in physics.
Book Synopsis Selected Works of Emil Wolf by : Emil Wolf
Download or read book Selected Works of Emil Wolf written by Emil Wolf and published by World Scientific. This book was released on 2001 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book presents most of the important papers of Emil Wolf, published over half-a-century. It covers chiefly diffraction theory (especially the analysis of the focal region), the theory of direct and inverse scattering, phase-space methods in quantum mechanics, the foundation of radiometry, phase conjugation and coherence theory. Several papers which have become classics of the optical literature are included, such as those on Wolf's rigorous formulation of the theory of partial coherence and partial polarization, the introduction of diffraction tomography, and his discovery of correlation-induced shifts of spectral lines (often called the Wolf effect). There are also papers dealing with the historical development of optics and some review articles.
Book Synopsis Finite Quantum Electrodynamics by : Gunter Scharf
Download or read book Finite Quantum Electrodynamics written by Gunter Scharf and published by Courier Corporation. This book was released on 2014-04-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this classic graduate-level physics text covers relativistic quantum mechanics, field quantization, causal perturbation theory, properties of the S-matrix, and considerations of other electromagnetic couplings. 2014 edition.
Book Synopsis Memorial Volume For Stanley Mandelstam by : Nathan Jacob Berkovits
Download or read book Memorial Volume For Stanley Mandelstam written by Nathan Jacob Berkovits and published by World Scientific. This book was released on 2017-06-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanley Mandelstam (1928-2016) was one of the most influential and respected particle theorists. Coming as a young chemical engineer from South Africa to study theoretical physics in England, he quickly became a leading physicist in his field. With his deep understanding of quantum field theory, he pioneered the development of the analytic S-matrix theory as well as the path-dependent formulations for quantum gauge theories and for quantum general relativity. They are being actively used for the electroweak theory and having their imprints in lattice gauge theory and loop quantum gravity. Also he elucidated the mechanisms for quark confinement in quantum chromodynamics, constructed non-perturbative bosonization methods in 1+1 dimensions, and proved the perturbative finiteness and β=0 of N=4 supersymmetric Yang-Mills theory. His work also led to the discovery of dual resonance models, which in turn became superstring theory. He was a leader in these developments, devoting much of his later years to the proof that the theory is perturbatively finite so it can be considered as a contender for the theory of quantum gravity.He was also a very modest and friendly man, impressing everyone with his sharp intellect as well as his humanity. This volume contains essays written by many of his friends and students, including both detailed reports on his scientific achievements as well as personal reminiscences. Also collected in the volume are some selected reprints of Mandelstam's early seminal papers and abstracts of selected papers representing the full spectrum of his contributions.
Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov
Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 1989-12-31 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.
Book Synopsis Lectures on an Introduction to Dispersion Relation Techniques by : Paul Roman
Download or read book Lectures on an Introduction to Dispersion Relation Techniques written by Paul Roman and published by . This book was released on 1964 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optical Properties of Solids by : Frederick Wooten
Download or read book Optical Properties of Solids written by Frederick Wooten and published by Academic Press. This book was released on 2013-10-22 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Properties of Solids covers the important concepts of intrinsic optical properties and photoelectric emission. The book starts by providing an introduction to the fundamental optical spectra of solids. The text then discusses Maxwell's equations and the dielectric function; absorption and dispersion; and the theory of free-electron metals. The quantum mechanical theory of direct and indirect transitions between bands; the applications of dispersion relations; and the derivation of an expression for the dielectric function in the self-consistent field approximation are also encompassed. The book further tackles current-current correlations; the fluctuation-dissipation theorem; and the effect of surface plasmons on optical properties and photoemission. People involved in the study of the optical properties of solids will find the book invaluable.
Book Synopsis The Analytic S-Matrix by : R. J. Eden
Download or read book The Analytic S-Matrix written by R. J. Eden and published by Cambridge University Press. This book was released on 2002-04-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of the S-Matrix, starting from physically plausible assumptions and looking at the mathematical consequences.
Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin
Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Book Synopsis The Conceptual Basis of Quantum Field Theory by : Gerard't Hooft
Download or read book The Conceptual Basis of Quantum Field Theory written by Gerard't Hooft and published by . This book was released on 2014-10-03 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic Quantum Field Theory is a mathematical scheme to describethe sub-atomic particles and forces. The basic starting point is that the axiomsof Special Relativity on the one hand and those of Quantum Mechanics on theother, should be combined into one theory. The fundamental ingredients forthis construction are reviewed. A remarkable feature is that the constructionis not perfect; it will not allow us to compute all amplitudes with unlimitedprecision. Yet in practice this theory is more than accurate enough to coverthe entire domain between the atomic scale and the Planck scale, some 20orders of magnitude
Book Synopsis Dispersion Relations and Causal Description by : Jan Hilgevoord
Download or read book Dispersion Relations and Causal Description written by Jan Hilgevoord and published by . This book was released on 1960 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Book of Why written by Judea Pearl and published by Basic Books. This book was released on 2018-05-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence "Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.
Book Synopsis Causation, Physics, and the Constitution of Reality by : Huw Price
Download or read book Causation, Physics, and the Constitution of Reality written by Huw Price and published by Oxford University Press. This book was released on 2007 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The difference between cause and effect seems obvious and crucial in ordinary life, yet missing modern physics. Almost a century ago, Bertrand Russell called the law of causality 'a relic of a bygone age'. Scholars revisit Russell's conclusion, discussing one of the most significant and puzzling issues in contemporary thought.
Book Synopsis Hilbert Transforms: Volume 2 by : Frederick W. King
Download or read book Hilbert Transforms: Volume 2 written by Frederick W. King and published by Cambridge University Press. This book was released on 2009-04-27 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.