The Inverse Problem in the Quantum Theory of Scattering...

The Inverse Problem in the Quantum Theory of Scattering... PDF

Author: L. D. Faddeev

Publisher: Hardpress Publishing

Published: 2013-12

Total Pages: 118

ISBN-13: 9781314949254

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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

The Inverse Problem of Scattering Theory

The Inverse Problem of Scattering Theory PDF

Author: Z.S. Agranovich

Publisher: Courier Dover Publications

Published: 2020-05-21

Total Pages: 307

ISBN-13: 0486842495

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This monograph by two Soviet experts in mathematical physics was a major contribution to inverse scattering theory. The two-part treatment examines the boundary-value problem with and without singularities. 1963 edition.

The Inverse Problem in the Quantum Theory of Scattering (Classic Reprint)

The Inverse Problem in the Quantum Theory of Scattering (Classic Reprint) PDF

Author: L. D. Faddeyev

Publisher: Forgotten Books

Published: 2017-10-21

Total Pages: 120

ISBN-13: 9780266548607

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Excerpt from The Inverse Problem in the Quantum Theory of Scattering This paper is devoted to a survey of the following fundamental prob lem arising in the quantum theory of scattering: the solution of the equa. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Inverse Problem in the Quantum Theory of Scattering

The Inverse Problem in the Quantum Theory of Scattering PDF

Author: L D Faddeev

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781021195197

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A groundbreaking work of mathematical physics, The Inverse Problem in the Quantum Theory of Scattering explores the complex interplay between wave mechanics, particle interactions, and mathematical abstraction. Written by three leading experts in the field, this book is an essential resource for anyone interested in the theoretical foundations of quantum physics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Direct and Inverse Problems

Direct and Inverse Problems PDF

Author: Boris N. Zakhariev

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 234

ISBN-13: 3642956157

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Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser vables with interactions. Recently, illustrations of this type began to appear in the literature (e. g., how potentials are deformed with thc shift of one energy level or change of some resonance reduced width). Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists. For the first time, the most interesting of these pictures enriching our quantum intuition are col lected here and placed at your disposal. The readers of this monograph have the advantage of getting the latest information which became available after the publication of the Russian edition. It has been incor porated here in the simplest presentation possible. For example, new sections con cerning exactly solvable models, including the multi-channel, multi-dimensional ones and with time dependent potentials have been added. The first attempts in solving the three-body inverse problem are also mentioned.

Inverse Problems in Quantum Scattering Theory

Inverse Problems in Quantum Scattering Theory PDF

Author: Khosrow Chadan

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 526

ISBN-13: 3642833179

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The normal business of physicists may be schematically thought of as predic ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We infer the shape, size, and surface texture of external objects from their scattering and absorption of light as detected by our eyes. When we use scattering experiments to learn the size or shape of particles, or the forces they exert upon each other, the nature of the problem is similar, if more refined. The kinematics, the equations of motion, are usually assumed to be known. It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877). In the course of describing the vibrations of strings of variable density he briefly discusses the possibility of inferring the density distribution from the frequencies of vibration. This passage may be regarded as a precursor of the mathematical study of the inverse spectral problem some seventy years later.

The Inverse Problem in the Quantum Theory of Scattering

The Inverse Problem in the Quantum Theory of Scattering PDF

Author: L. D. FADDEYEV

Publisher:

Published: 1960

Total Pages: 106

ISBN-13:

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The problem is studied of determining information about a medium from which an electromagnetic wave is reflected, given a knowledge of the reflection coefficient. Similar questions concerning scattering phenomena in other branches of physics, e.g., in quantum mechanics, can be investigated by means of the same theory. (Author).

The Inverse Problem in the Quantum Theory of Scattering - Scholar's Choice Edition

The Inverse Problem in the Quantum Theory of Scattering - Scholar's Choice Edition PDF

Author: L D Faddeyev

Publisher: Scholar's Choice

Published: 2015-02-15

Total Pages: 114

ISBN-13: 9781296027896

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.