Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 341–352
DOI: https://doi.org/10.4213/tmf159 (Mi tmf159) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Fermi Rule and Scattering Amplitude Resonances

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (236 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf159
Abstract: The behavior of the scattering amplitude near a resonance with a small imaginary part is investigated. We prove that the scattering amplitude as an energy function suffers a jump near the real part of the resonance and the jump is independent of the interaction details. In terms of the problem data, we derive an estimate for the imaginary part of the resonance.
Keywords: scattering, pole, resonance.
Received: 07.09.2001
Revised: 12.09.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 296–307
DOI: https://doi.org/10.1023/A:1022689119601
Bibliographic databases:
Language: Russian
Citation: A. A. Arsen'ev, “Fermi Rule and Scattering Amplitude Resonances”, TMF, 134:3 (2003), 341–352; Theoret. and Math. Phys., 134:3 (2003), 296–307
Citation in format AMSBIB
\Bibitem{Ars03}
\by A.~A.~Arsen'ev
\paper Fermi Rule and Scattering Amplitude Resonances
\jour TMF
\yr 2003
\vol 134
\issue 3
\pages 341--352
\mathnet{http://mi.mathnet.ru/tmf159}
\crossref{https://doi.org/10.4213/tmf159}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2001812}
\zmath{https://zbmath.org/?q=an:1178.81269}
\elib{https://elibrary.ru/item.asp?id=13428352}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 3
\pages 296--307
\crossref{https://doi.org/10.1023/A:1022689119601}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000182047100001}
Linking options:
  • https://www.mathnet.ru/eng/tmf159
  • https://doi.org/10.4213/tmf159
  • https://www.mathnet.ru/eng/tmf/v134/i3/p341
    • This publication is cited in the following 4 articles:
    1. A. A. Arsen'ev, “Resonances and trapped modes in a quantum waveguide”, Comput. Math. Math. Phys., 45:9 (2005), 1573–1581  mathnet  mathscinet  elib
    2. A. A. Arsen'ev, “Relation Between a Pole of the Scattering Matrix and the Transmission and Reflection Coefficients in Scattering in a Quantum Waveguide”, Theoret. and Math. Phys., 140:2 (2004), 1151–1156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. A. A. Arsen'ev, “Resonances and Tunneling in the Tight-Binding Approximation to Scattering in a Quantum Billiard”, Theoret. and Math. Phys., 141:1 (2004), 1415–1426  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    4. A. A. Arsen'ev, “Mathematical Model of Resonances and Tunneling in a System with a Bound State”, Theoret. and Math. Phys., 136:3 (2003), 1336–1345  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    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
    Statistics & downloads:
    Abstract page:636
    Full-text PDF :280
    References:60
    First page:1
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025