Causality and Dispersion Relations PDF Download

Author: Nussenzveig
Publisher: Academic Press
ISBN: 0080956041
Category : Mathematics
Languages : en
Pages : 449

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Book Description
Causality and Dispersion Relations

Author: Vladimir Pascalutsa
Publisher: Morgan & Claypool Publishers
ISBN: 168174919X
Category : Science
Languages : en
Pages : 84

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Book Description
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.

Author: José Antonio Oller
Publisher: Springer
ISBN: 3030135829
Category : Science
Languages : en
Pages : 142

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Book Description
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.

Author: H. M. Nussenzweig
Publisher:
ISBN:
Category :
Languages : en
Pages : 435

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Book Description

Author: Mathias Frisch
Publisher: Cambridge University Press
ISBN: 1107031494
Category : Mathematics
Languages : en
Pages : 265

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Book Description
This book argues, partly through detailed case studies, for the importance of causal reasoning in physics.

Author: Jan Hilgevoord
Publisher:
ISBN:
Category : Causation
Languages : en
Pages : 154

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Book Description

Author: S. R. De Groot
Publisher: Courier Corporation
ISBN: 0486153509
Category : Science
Languages : en
Pages : 532

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Book Description
Classic monograph treats irreversible processes and phenomena of thermodynamics: non-equilibrium thermodynamics. Covers statistical foundations and applications with chapters on fluctuation theory, theory of stochastic processes, kinetic theory of gases, more.

Author: S.P Puri
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
ISBN: 1783322284
Category : Science
Languages : en
Pages : 728

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Book Description
CLASSICAL ELECTRODYNAMICS covers the development of Maxwell's theory of electromagnetism in a systematic manner and comprises the time-independent electric and magnetic fields, boundary value problems and Maxwell's equations. The generation and propagation of electromagnetic waves in unbounded and bounded media, special theory of relativity, charged particle dynamics, magneto-hydrodynamics and the formal structure of covariance as applied to Maxwell's theory are also included. In addition, the emission of radiation from accelerated charges and the resulting radiation reaction including Bremsstrahlung, Cerenkov radiation; scattering, absorption, causality and dispersion relations are covered adequately. The energy loss from charged particles, multipole radiation and Hamiltonian formulation of Maxwell's equations, constitute the finale of the book.

Author: James T. Cushing
Publisher: Cambridge University Press
ISBN: 9780521381819
Category : Mathematics
Languages : en
Pages : 436

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Book Description
Analyses what criteria should determine how scientific theories are selected and justified.

Author: Peter R. Holland
Publisher: Cambridge University Press
ISBN: 9780521485432
Category : Science
Languages : en
Pages : 624

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Book Description
An explanation of how quantum processes may be visualised without ambiguity, in terms of a simple physical model.