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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 1, Pages 100–112
DOI: https://doi.org/10.4213/tmf110 (Mi tmf110) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Resonances and Tunneling in the Tight-Binding Approximation to Scattering in a Quantum Billiard

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (244 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf110
Abstract: In the tight-binding approximation, we consider the scattering problem in a quantum billiard and investigate the behavior of the scattering matrix near a resonance.
Keywords: tight-binding model, quantum waveguide, resonance.
Received: 16.01.2004
Revised: 04.03.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 1, Pages 1415–1426
DOI: https://doi.org/10.1023/B:TAMP.0000043857.79577.c4
Bibliographic databases:
Language: Russian
Citation: A. A. Arsen'ev, “Resonances and Tunneling in the Tight-Binding Approximation to Scattering in a Quantum Billiard”, TMF, 141:1 (2004), 100–112; Theoret. and Math. Phys., 141:1 (2004), 1415–1426
Citation in format AMSBIB
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\paper Resonances and Tunneling in the Tight-Binding Approximation to Scattering in a Quantum Billiard
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...141.1415A}
\transl
\jour Theoret. and Math. Phys.
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\issue 1
\pages 1415--1426
\crossref{https://doi.org/10.1023/B:TAMP.0000043857.79577.c4}
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Linking options:
  • https://www.mathnet.ru/eng/tmf110
  • https://doi.org/10.4213/tmf110
  • https://www.mathnet.ru/eng/tmf/v141/i1/p100
    • This publication is cited in the following 4 articles:
    1. T. S. Tinyukova, “Issledovanie raznostnogo uravneniya Shredingera dlya nekotorykh fizicheskikh modelei”, Izv. IMI UdGU, 2013, no. 2(42), 3–57  mathnet
    2. Ado I.A., “Scattering problem in a quantum waveguide in a tight-binding model”, Moscow University Physics Bulletin, 65:5 (2010), 345–350  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    3. A. A. Arsen'ev, “Resonances and tunneling in a quantum wire”, Theoret. and Math. Phys., 147:1 (2006), 524–532  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. L. E. Morozova, “Zadacha rasseyaniya dlya odnomernogo diskretnogo operatora Shredingera s ubyvayuschim potentsialom”, Izv. IMI UdGU, 2006, no. 1(35), 83–88  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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