Causality and Dispersion Relations
Author: Nussenzveig
Publisher: Academic Press
Published: 1972-12-15
Total Pages: 449
ISBN-13: 0080956041
DOWNLOAD EBOOKCausality and Dispersion Relations
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A Brief Introduction to Dispersion Relations
Author: José Antonio Oller
Publisher: Springer
Published: 2019-03-22
Total Pages: 142
ISBN-13: 3030135829
DOWNLOAD EBOOKThis 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.
Causality Rules
Author: Vladimir Pascalutsa
Publisher: Morgan & Claypool Publishers
Published: 2018-07-06
Total Pages: 84
ISBN-13: 168174919X
DOWNLOAD EBOOKScattering 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.
Causal Reasoning in Physics
Author: Mathias Frisch
Publisher: Cambridge University Press
Published: 2014-10-09
Total Pages: 265
ISBN-13: 1107031494
DOWNLOAD EBOOKThis book argues, partly through detailed case studies, for the importance of causal reasoning in physics.
Selected Works of Emil Wolf
Author: Emil Wolf
Publisher: World Scientific
Published: 2001
Total Pages: 673
ISBN-13: 9810242042
DOWNLOAD EBOOKThis 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.
General Principles of Quantum Field Theory
Author: N.N. Bogolubov
Publisher: Springer Science & Business Media
Published: 1989-12-31
Total Pages: 720
ISBN-13: 9780792305408
DOWNLOAD EBOOKThe 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.
Optical Properties of Solids
Author: Frederick Wooten
Publisher: Academic Press
Published: 2013-10-22
Total Pages: 273
ISBN-13: 1483220761
DOWNLOAD EBOOKOptical 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.
An Introduction To Quantum Field Theory
Author: Michael E. Peskin
Publisher: CRC Press
Published: 2018-05-04
Total Pages: 866
ISBN-13: 0429983182
DOWNLOAD EBOOKAn 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.
The Book of Why
Author: Judea Pearl
Publisher: Basic Books
Published: 2018-05-15
Total Pages: 432
ISBN-13: 0465097618
DOWNLOAD EBOOKA 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.
The Quantum Theory of Motion
Author: Peter R. Holland
Publisher: Cambridge University Press
Published: 1995-01-26
Total Pages: 624
ISBN-13: 9780521485432
DOWNLOAD EBOOKAn explanation of how quantum processes may be visualised without ambiguity, in terms of a simple physical model.
