Publication

1993 - Springer Netherlands, Dordrecht, Netherlands

Language

English

Word Count

91,500 words, Guess

Page Count

366 pages

Physical Format

Electronic resource

Identifiers

  • Internet Archiveinverseproblemss00glad
  • ISBN-109401049068
  • ISBN-109401120463
  • ISBN-139789401049061
  • ISBN-139789401120463
and 4 more
  • OCLC Control Number851368830
  • Better World Books9789401049061
  • Better World Books9789401120463
  • Open LibraryOL27047194M

Classifications

  • DDC530.1
  • LCCQC19.2-20.85
  • LCCQC19.2-20.85TA1-2040

Description

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.

Subjects

Series Statement

  • Solid Mechanics and its Applications -- 23

Other Editions

  • Inverse Problems in Scattering: An IntroductionElectronic resourceSpringer Netherlands1993-01-01

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