Scattering Theory, Revised Edition

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Publisher : Academic Press
ISBN 13 : 9780080873381
Total Pages : 309 pages
Book Rating : 4.8/5 (733 download)

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Book Synopsis Scattering Theory, Revised Edition by : Peter D. Lax

Download or read book Scattering Theory, Revised Edition written by Peter D. Lax and published by Academic Press. This book was released on 1990-02-22 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.

Scattering Theory

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (117 download)

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Book Synopsis Scattering Theory by : Peter D. Lax

Download or read book Scattering Theory written by Peter D. Lax and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory: Some Old and New Problems

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Author :
Publisher : Springer
ISBN 13 : 3540451706
Total Pages : 185 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Scattering Theory: Some Old and New Problems by : Dmitri R. Yafaev

Download or read book Scattering Theory: Some Old and New Problems written by Dmitri R. Yafaev and published by Springer. This book was released on 2007-05-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.

Scattering Theory of Waves and Particles

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Publisher : Springer Science & Business Media
ISBN 13 : 3642881289
Total Pages : 758 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Scattering Theory of Waves and Particles by : R.G. Newton

Download or read book Scattering Theory of Waves and Particles written by R.G. Newton and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.

Quantum Theory of Scattering

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Publisher : Courier Corporation
ISBN 13 : 0486320693
Total Pages : 530 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Quantum Theory of Scattering by : Ta-you Wu

Download or read book Quantum Theory of Scattering written by Ta-you Wu and published by Courier Corporation. This book was released on 2014-01-15 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses the broad formal aspects and applications of the quantum theory of scattering in atomic and nuclear collisions. An encyclopedic source of pioneering work, it serves as a text for students and a reference for professionals in the fields of chemistry, physics, and astrophysics. The self-contained treatment begins with the general theory of scattering of a particle by a central field. Subsequent chapters explore particle scattering by a non-central field, collisions between composite particles, the time-dependent theory of scattering, and nuclear reactions. An examination of dispersion relations concludes the text. Numerous graphs, tables, and footnotes illuminate each chapter, in addition to helpful appendixes and bibliographies.

Scattering Theory

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Publisher :
ISBN 13 : 9783662205273
Total Pages : 194 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis Scattering Theory by : Dmitri R. Yafaev

Download or read book Scattering Theory written by Dmitri R. Yafaev and published by . This book was released on 2014-01-15 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory

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Author :
Publisher : Springer
ISBN 13 : 9783642840364
Total Pages : 294 pages
Book Rating : 4.8/5 (43 download)

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Book Synopsis Scattering Theory by : Aleksei G. Sitenko

Download or read book Scattering Theory written by Aleksei G. Sitenko and published by Springer. This book was released on 2012-02-02 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the course in theoretical nuclear physics that has been given by the author for some years at the T. G. Shevchenko Kiev State University. This version is supplemented and revised to include new results obtained after 1971 and 1975 when the first and second editions were published. This text is intended as an introduction to the nonrelativistic theory of po tential scattering. The analysis is based on the scattering matrix concept where the relationship between the scattering matrix and observable physical quantities is considered. The stationary formulation of the scattering problem is presented; particle wave functions in the external field are obtained. A formulation of the optical theorem is given as well as a discussion on time inversion and the reci procity theorem. Analytic properties of the scattering matrix, dispersion relations, and complex moments are analyzed. The dispersion relations for an arbitrary di rection scattering amplitude are proven, and analytic properties of the amplitude in the plane of the complex cosine of the scattering angle are studied in detail.

Scattering theory

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Publisher :
ISBN 13 :
Total Pages : 431 pages
Book Rating : 4.:/5 (252 download)

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Book Synopsis Scattering theory by : Asim Orhan Barut

Download or read book Scattering theory written by Asim Orhan Barut and published by . This book was released on with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Point Sources and Multipoles in Inverse Scattering Theory

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Author :
Publisher : CRC Press
ISBN 13 : 1420035487
Total Pages : 277 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Point Sources and Multipoles in Inverse Scattering Theory by : Roland Potthast

Download or read book Point Sources and Multipoles in Inverse Scattering Theory written by Roland Potthast and published by CRC Press. This book was released on 2001-05-30 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of

Inverse Acoustic and Electromagnetic Scattering Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662028352
Total Pages : 316 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Inverse Acoustic and Electromagnetic Scattering Theory by : David Colton

Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has now been almost ten years since our first book on scattering theory ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly be divided into two classes, the inverse obstacle problem and the inverse medium problem.

Scattering Theory

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Publisher :
ISBN 13 :
Total Pages : 431 pages
Book Rating : 4.:/5 (867 download)

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Book Synopsis Scattering Theory by :

Download or read book Scattering Theory written by and published by . This book was released on 1950 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory

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Publisher : Springer
ISBN 13 : 3662485265
Total Pages : 287 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Scattering Theory by : Harald Friedrich

Download or read book Scattering Theory written by Harald Friedrich and published by Springer. This book was released on 2015-11-20 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This corrected and updated second edition of "Scattering Theory" presents a concise and modern coverage of the subject. In the present treatment, special attention is given to the role played by the long-range behaviour of the projectile-target interaction, and a theory is developed, which is well suited to describe near-threshold bound and continuum states in realistic binary systems such as diatomic molecules or molecular ions. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used, e.g. to the field of ultracold atoms and molecules, which has been experiencing enormous growth in recent years, largely triggered by the successful realization of Bose-Einstein condensates of dilute atomic gases in 1995. The book contains sections on special topics such as near-threshold quantization, quantum reflection, Feshbach resonances and the quantum description of scattering in two dimensions. The level of abstraction is kept as low as at all possible and deeper questions related to the mathematical foundations of scattering theory are passed by. It should be understandable for anyone with a basic knowledge of nonrelativistic quantum mechanics. The book is intended for advanced students and researchers, and it is hoped that it will be useful for theorists and experimentalists alike.

Scattering theory

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Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Scattering theory by :

Download or read book Scattering theory written by and published by . This book was released on 1965 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Absorption and Scattering of Light by Small Particles

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Publisher : John Wiley & Sons
ISBN 13 : 3527618163
Total Pages : 544 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Absorption and Scattering of Light by Small Particles by : Craig F. Bohren

Download or read book Absorption and Scattering of Light by Small Particles written by Craig F. Bohren and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Absorption and Scattering of Light by Small Particles Treating absorption and scattering in equal measure, this self-contained, interdisciplinary study examines and illustrates how small particles absorb and scatter light. The authors emphasize that any discussion of the optical behavior of small particles is inseparable from a full understanding of the optical behavior of the parent material-bulk matter. To divorce one concept from the other is to render any study on scattering theory seriously incomplete. Special features and important topics covered in this book include: * Classical theories of optical properties based on idealized models * Measurements for three representative materials: magnesium oxide, aluminum, and water * An extensive discussion of electromagnetic theory * Numerous exact and approximate solutions to various scattering problems * Examples and applications from physics, astrophysics, atmospheric physics, and biophysics * Some 500 references emphasizing work done since Kerker's 1969 work on scattering theory * Computer programs for calculating scattering by spheres, coated spheres, and infinite cylinders

Elementary Scattering Theory

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Publisher : Oxford University Press, USA
ISBN 13 : 0199228671
Total Pages : 215 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Elementary Scattering Theory by : D.S. Sivia

Download or read book Elementary Scattering Theory written by D.S. Sivia and published by Oxford University Press, USA. This book was released on 2011-01-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the basic theoretical background for X-ray and neutron scattering experiments. Since these techniques are increasingly being used by biologists and chemists, as well as physicists, the book is intended to be accessible to a broad spectrum of scientists.

Electromagnetic Wave Propagation, Radiation, and Scattering

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Publisher : John Wiley & Sons
ISBN 13 : 1119079535
Total Pages : 968 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Electromagnetic Wave Propagation, Radiation, and Scattering by : Akira Ishimaru

Download or read book Electromagnetic Wave Propagation, Radiation, and Scattering written by Akira Ishimaru and published by John Wiley & Sons. This book was released on 2017-08-09 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most methodical treatments of electromagnetic wave propagation, radiation, and scattering—including new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end-of-chapter problems and offers a 90-page solution manual to help readers check and comprehend their work. The second part of the book explores up-to-date applications of electromagnetic waves—including radiometry, geophysical remote sensing and imaging, and biomedical and signal processing applications. Written by a world renowned authority in the field of electromagnetic research, this new edition of Electromagnetic Wave Propagation, Radiation, and Scattering: From Fundamentals to Applications presents detailed applications with useful appendices, including mathematical formulas, Airy function, Abel’s equation, Hilbert transform, and Riemann surfaces. The book also features newly revised material that focuses on the following topics: Statistical wave theories—which have been extensively applied to topics such as geophysical remote sensing, bio-electromagnetics, bio-optics, and bio-ultrasound imaging Integration of several distinct yet related disciplines, such as statistical wave theories, communications, signal processing, and time reversal imaging New phenomena of multiple scattering, such as coherent scattering and memory effects Multiphysics applications that combine theories for different physical phenomena, such as seismic coda waves, stochastic wave theory, heat diffusion, and temperature rise in biological and other media Metamaterials and solitons in optical fibers, nonlinear phenomena, and porous media Primarily a textbook for graduate courses in electrical engineering, Electromagnetic Wave Propagation, Radiation, and Scattering is also ideal for graduate students in bioengineering, geophysics, ocean engineering, and geophysical remote sensing. The book is also a useful reference for engineers and scientists working in fields such as geophysical remote sensing, bio–medical engineering in optics and ultrasound, and new materials and integration with signal processing.

Scattering Amplitudes in Gauge Theory and Gravity

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Publisher : Cambridge University Press
ISBN 13 : 1107069254
Total Pages : 337 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang

Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang and published by Cambridge University Press. This book was released on 2015-02-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.