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Sbornik: Mathematics, 1997, Volume 188, Issue 12, Pages 1731–1738
DOI: https://doi.org/10.1070/sm1997v188n12ABEH000270 (Mi sm270) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Estimate of the solution of the scattering problem for a one-dimensional trapping potential

A. A. Arsen'ev

M. V. Lomonosov Moscow State University
English version PDF (141 kB) Citations (3)
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DOI: https://doi.org/10.1070/sm1997v188n12ABEH000270
Abstract: A new method is proposed for estimating the imaginary part of the pole of the scattering matrix for a one-dimensional trapping potential. The method is based on the principle of wave operator invariance and on the Parseval equality for the continuous spectrum eigenfunctions.
Received: 19.02.1997 and 11.09.1997
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 12, Pages 3–10
DOI: https://doi.org/10.4213/sm270
Bibliographic databases:
UDC: 517.95
MSC: Primary 81U05; Secondary 34L25, 34L40
Language: English
Original paper language: Russian
Citation: A. A. Arsen'ev, “Estimate of the solution of the scattering problem for a one-dimensional trapping potential”, Mat. Sb., 188:12 (1997), 3–10; Sb. Math., 188:12 (1997), 1731–1738
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:160
    English version PDF:7
    References:54
    First page:1
     
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