Kniha Inverse Problems in Scattering G. M. L. Gladwell

Inverse Problems in Scattering

An Introduction

Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer Netherlands
Dostupnosť: Skladom u dodávateľa v malom množstve
Odosielame za 11-15 dní
162.98
Inverse Problems in Scattering exposes some of the mathematics which has been developed in attempts...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2013
Stránok
366
EAN
9789401049061
ISBN
9401049068
Enbook ID
05323343
Hmotnosť
605
Rozmery
160 x 240 x 20

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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