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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 2, Pages 58–77
DOI: https://doi.org/10.4213/faa2861 (Mi faa2861) 		 
This article is cited in 6 scientific papers (total in 7 papers)

Direct and Inverse Multichannel Scattering Problems

Yu. I. Lyubarskiia, V. A. Marchenkob

a Norwegian University of Science and Technology
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
Full-text PDF (278 kB) Citations (7)
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DOI: https://doi.org/10.4213/faa2861
Abstract: We consider small oscillations of a system of pairwise interacting particles in an external field near a stable equilibrium. The system is assumed to consist of finitely many channels, i.e., semi-infinite linear chains of particles, attached to a scatterer, which is a finite system of interacting particles. Direct and inverse scattering problems are considered. In particular, an algorithm finding characteristics of the channels on the basis of scattering data is given.
Keywords: inverse scattering problem, Sturm–Liouville operator, differential-difference operator, Jacobi matrix.
Received: 27.11.2006
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 2, Pages 126–142
DOI: https://doi.org/10.1007/s10688-007-0012-0
Bibliographic databases:
Document Type: Article
UDC: 917.9
Language: Russian
Citation: Yu. I. Lyubarskii, V. A. Marchenko, “Direct and Inverse Multichannel Scattering Problems”, Funktsional. Anal. i Prilozhen., 41:2 (2007), 58–77; Funct. Anal. Appl., 41:2 (2007), 126–142
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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