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Sbornik: Mathematics, 2003, Volume 194, Issue 1, Pages 1–19
DOI: https://doi.org/10.1070/SM2003v194n01ABEH000703 (Mi sm703) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Resonance scattering in quantum wave guides

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (255 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM2003v194n01ABEH000703
Abstract: The interaction of a quantum wave guide with a resonator is studied within the frame of the Birman–Kato scattering theory. The existence of poles of the scattering matrix is proved and the jump of the scattering amplitude near a resonance is calculated.
Received: 03.04.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 1, Pages 3–22
DOI: https://doi.org/10.4213/sm703
Bibliographic databases:
UDC: 517.958+621.372.8
MSC: Primary 35P25; Secondary 35Q40, 47N50, 81U99
Language: English
Original paper language: Russian
Citation: A. A. Arsen'ev, “Resonance scattering in quantum wave guides”, Mat. Sb., 194:1 (2003), 3–22; Sb. Math., 194:1 (2003), 1–19
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
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:530
    Russian version PDF:245
    English version PDF:20
    References:60
    First page:1
     
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