Kniha Inverse Problems in Scattering Graham M. L. Gladwell

Inverse Problems in Scattering

An Introduction

Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer Netherlands
Dostupnosť: U vydavateľa na objednávku
Odosielame za 17-27 dní
221.26
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2011
Stránok
366
EAN
9780792324782
Enbook ID
06794322
Hmotnosť
710
Rozmery
160 x 240 x 22

Kompletný popis

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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