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Inverse Problems in Scattering

An Introduction

Language EnglishEnglish
Book Hardback
Book Inverse Problems in Scattering Graham M. L. Gladwell
Libristo code: 06794322
Publishers Springer Netherlands, January 2011
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts... Full description
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Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts to solve the one-dimensional inverse scattering problem. Layered media are treated in Chapters 1--6 and quantum mechanical models in Chapters 7--10. Thus, Chapters 2 and 6 show the connections between matrix theory, Schur's lemma in complex analysis, the Levinson--Durbin algorithm, filter theory, moment problems and orthogonal polynomials. The chapters devoted to the simplest inverse scattering problems in quantum mechanics show how the Gel'fand--Levitan and Marchenko equations arose. The introduction to this problem is an excursion through the inverse problem related to a finite difference version of Schrödinger's equation. One of the basic problems in inverse quantum scattering is to determine what conditions must be imposed on the scattering data to ensure that they correspond to a regular potential, which involves Lebesque integrable functions, which are introduced in Chapter 9.§

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About the book

Full name Inverse Problems in Scattering
Author Graham M. L. Gladwell
Language English
Binding Book - Hardback
Date of issue 2011
Number of pages 366
EAN 9780792324782
Libristo code 06794322
Publishers Springer Netherlands
Weight 710
Dimensions 160 x 240 x 22

Categories

Mathematics & Science > Physics > Classical mechanics > Wave mechanics (vibration & acoustics)
Mathematics & Science > Physics > Mathematical physics
Technology, Engineering, Agriculture > Technology: general issues > Engineering: general
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