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TMF, 2004, Volume 141, Number 1, Pages 100–112 (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

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

DOI: https://doi.org/10.4213/tmf110

Full text: PDF file (244 kB)
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English version:
Theoretical and Mathematical Physics, 2004, 141:1, 1415–1426

Bibliographic databases:

Received: 16.01.2004
Revised: 04.03.2004

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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\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 141
\issue 1
\pages 1415--1426
\crossref{https://doi.org/10.1023/B:TAMP.0000043857.79577.c4}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. L. E. Morozova, “Zadacha rasseyaniya dlya odnomernogo diskretnogo operatora Shredingera s ubyvayuschim potentsialom”, Izv. IMI UdGU, 2006, no. 1(35), 83–88  mathnet
    3. 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
    4. T. S. Tinyukova, “Issledovanie raznostnogo uravneniya Shredingera dlya nekotorykh fizicheskikh modelei”, Izv. IMI UdGU, 2013, no. 2(42), 3–57  mathnet
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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