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TMF, 1995, Volume 104, Number 2, Pages 214–232 (Mi tmf1333)  

This article is cited in 5 scientific papers (total in 5 papers)

On resonance properties of scattering amplitude for Schrödinger equation with trapping potential

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In this paper a mathematical proof is presented for the fact that the resonance amplitude suffers a jump in the neighborhood of a resonance energy level.

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English version:
Theoretical and Mathematical Physics, 1995, 104:2, 935–949

Bibliographic databases:

Received: 24.10.1994

Citation: A. A. Arsen'ev, “On resonance properties of scattering amplitude for Schrödinger equation with trapping potential”, TMF, 104:2 (1995), 214–232; Theoret. and Math. Phys., 104:2 (1995), 935–949

Citation in format AMSBIB
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\by A.~A.~Arsen'ev
\paper On resonance properties of scattering amplitude for Schr\"odinger equation with trapping potential
\jour TMF
\yr 1995
\vol 104
\issue 2
\pages 214--232
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1488671}
\zmath{https://zbmath.org/?q=an:0856.35104}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 104
\issue 2
\pages 935--949
\crossref{https://doi.org/10.1007/BF02065974}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995UD33400002}


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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, “Resonance properties of the scattering matrix for the one-dimensional Schrödinger operator with a trapping potential”, Sb. Math., 187:6 (1996), 785–802  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. A. A. Arsen'ev, “Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential”, Theoret. and Math. Phys., 114:2 (1998), 215–219  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. Yu. P. Chuburin, “Schrödinger operator eigenvalue (resonance) on a zone boundary”, Theoret. and Math. Phys., 126:2 (2001), 161–168  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Sjostrand J., “Quantum Resonances and trapped trajectories”, Long Time Behaviour of Classical and Quantum Systems, Series on Concrete and Applicable Mathematics, 1, 2001, 33–61  isi
    5. A. A. Arsen'ev, “Fermi Rule and Scattering Amplitude Resonances”, Theoret. and Math. Phys., 134:3 (2003), 296–307  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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