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A Brief Introduction to Dispersion Relations, Jos? Antonio Oller


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Автор: Jos? Antonio Oller
Название:  A Brief Introduction to Dispersion Relations
ISBN: 9783030135812
Издательство: Springer
Классификация:


ISBN-10: 3030135810
Обложка/Формат: Soft cover
Страницы: 141
Вес: 0.24 кг.
Дата издания: 2019
Серия: SpringerBriefs in Physics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, color; 9 illustrations, black and white; viii, 141 p. 10 illus., 1 illus. in color.
Размер: 234 x 156 x 8
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: With Modern Applications
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
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.

Дополнительное описание: Preface.- Basics on dispersion relations.- Two-body scattering amplitudes with applications.- Final-state interactions with applications. ?



Causality Rules: A Light Treatise on Dispersion Relations and Sum Rules

Автор: Pascalutsa Vladimir
Название: Causality Rules: A Light Treatise on Dispersion Relations and Sum Rules
ISBN: 1681749165 ISBN-13(EAN): 9781681749167
Издательство: Mare Nostrum (Eurospan)
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Цена: 6237.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 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.

Causality Rules: A Light Treatise on Dispersion Relations and Sum Rules

Автор: Vladimir Pascalutsa
Название: Causality Rules: A Light Treatise on Dispersion Relations and Sum Rules
ISBN: 1681749203 ISBN-13(EAN): 9781681749204
Издательство: Mare Nostrum (Eurospan)
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Цена: 9286.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 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.

New Approaches in Modeling Multiphase Flows and Dispersion in Turbulence, Fractal Methods and Synthetic Turbulence

Автор: F.C.G.A. Nicolleau; C. Cambon; J.-M. Redondo; J.C.
Название: New Approaches in Modeling Multiphase Flows and Dispersion in Turbulence, Fractal Methods and Synthetic Turbulence
ISBN: 9400736940 ISBN-13(EAN): 9789400736948
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This key volume provides the best syntheses on the current status of research in kinematic simulation and other synthetic turbulence models applied to environmental flows. KS itself is widely used in various domains including Lagrangian dispersion.

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics

Автор: Pires Antonio Sergio Teixeira
Название: A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics
ISBN: 1643273752 ISBN-13(EAN): 9781643273754
Издательство: Mare Nostrum (Eurospan)
Цена: 13167.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

Dispersion Decay and Scattering Theory

Автор: Komech
Название: Dispersion Decay and Scattering Theory
ISBN: 1118341821 ISBN-13(EAN): 9781118341827
Издательство: Wiley
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Цена: 14406.00 р.
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Описание: Thoroughly classroom tested, this book applies scattering theory methods to modern problems within a variety of areas in advanced mathematics, quantum physics, and mathematical physics.

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics

Автор: Pires Antonio Sergio Teixeira
Название: A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics
ISBN: 164327371X ISBN-13(EAN): 9781643273716
Издательство: Mare Nostrum (Eurospan)
Цена: 10118.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition.

The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.


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