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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Atomphysik & Kernphysik A Brief Introduction to Dispersion Relations
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A Brief Introduction to Dispersion Relations
José Oller (Taschenbuch, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
02.04.2019
Sprache
Englisch
EAN
9783030135812
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
SpringerBriefs in Physics
Sonderedition
Nein
Autor
José Oller
Seitenanzahl
141
Auflage
1st edition 2019
Einbandart
Taschenbuch
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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