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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 2, Pages 391–420
DOI: https://doi.org/10.1070/IM1967v001n02ABEH000564 (Mi im2546) 		 
This article is cited in 35 scientific papers (total in 35 papers)

The stationary method in the abstract theory of scattering

M. Sh. Birman, S. B. Èntina
English version PDF (1257 kB) Citations (35)
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DOI: https://doi.org/10.1070/IM1967v001n02ABEH000564
Abstract: The wave operators and scattering matrix for pairs of self-adjoint operators are constructed in an explicit and invariant form. It is assumed that the perturbation is nuclear or “relatively nuclear”. The equivalence of the stationary and time-dependent versions of the theory is established. The results of the paper may be interpreted as justification for the stationary approach to scattering theory within the framework of the abstract theory of operators.
Received: 05.07.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 2, Pages 401–430
Bibliographic databases:
UDC: 517.9
MSC: 47A40, 47B25, 47L30, 47B10, 47G10
Language: English
Original paper language: Russian
Citation: M. Sh. Birman, S. B. Èntina, “The stationary method in the abstract theory of scattering”, Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967), 401–430; Math. USSR-Izv., 1:2 (1967), 391–420
Citation in format AMSBIB
\Bibitem{BirEnt67}
\by M.~Sh.~Birman, S.~B.~\`Entina
\paper The stationary method in the abstract theory of scattering
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 2
\pages 401--430
\mathnet{http://mi.mathnet.ru/im2546}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=209895}
\zmath{https://zbmath.org/?q=an:0173.16501}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 2
\pages 391--420
\crossref{https://doi.org/10.1070/IM1967v001n02ABEH000564}
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  • https://www.mathnet.ru/eng/im/v31/i2/p401
    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:616
    Russian version PDF:171
    English version PDF:13
    References:65
    First page:4
     
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