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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 1, Pages 63–81 (Mi tmf1287)  
This article is cited in 30 scientific papers (total in 30 papers)

Spectrum and scattering in a model “spin-boson” with at most three photons

Yu. V. Zhukova, R. A. Minlosb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (1634 kB) Citations (30)
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Abstract: A model of radiative decay with a fixed atom and not more than three photons is studied. A spectral analysis of the Hamiltonian is made. This is done by means of scattering theory in a pair of spaces with a specially chosen embedding. The existence of wave operators and their asymptotic completeness are proved. The constructions are based on a detailed analysis of the resolvent of the Hamiltonian.
Received: 13.07.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 1, Pages 398–411
DOI: https://doi.org/10.1007/BF02069784
Bibliographic databases:
Language: Russian
Citation: Yu. V. Zhukov, R. A. Minlos, “Spectrum and scattering in a model “spin-boson” with at most three photons”, TMF, 103:1 (1995), 63–81; Theoret. and Math. Phys., 103:1 (1995), 398–411
Citation in format AMSBIB
\Bibitem{ZhuMin95}
\by Yu.~V.~Zhukov, R.~A.~Minlos
\paper Spectrum and scattering in a~model ``spin-boson'' with at most three photons
\jour TMF
\yr 1995
\vol 103
\issue 1
\pages 63--81
\mathnet{http://mi.mathnet.ru/tmf1287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1470938}
\zmath{https://zbmath.org/?q=an:0863.47056}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 1
\pages 398--411
\crossref{https://doi.org/10.1007/BF02069784}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ96200006}
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  • https://www.mathnet.ru/eng/tmf/v103/i1/p63
    • This publication is cited in the following 30 articles:
    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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    References:71
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