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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 38, Number 2, Pages 163–178 (Mi tmf2702)  
This article is cited in 5 scientific papers (total in 5 papers)

Haag–Ruelle scattering theory as scattering theory in different state spaces

V. D. Koshmanenko
Full-text PDF (2199 kB) Citations (5)
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Abstract: It is shown that Haag–Ruelle scattering theory can be naturally included in the scheme of abstract scattering theory with a pair of spaces. The wave operators in Haag–Ruelle theory are defined by the method of bilinear functionals. In the abstract theory, a number of criteria for the scattering operator to be trivial are found.
Received: 16.01.1978
English version:
Theoretical and Mathematical Physics, 1979, Volume 38, Issue 2, Pages 109–119
DOI: https://doi.org/10.1007/BF01016831
Bibliographic databases:
Language: Russian
Citation: V. D. Koshmanenko, “Haag–Ruelle scattering theory as scattering theory in different state spaces”, TMF, 38:2 (1979), 163–178; Theoret. and Math. Phys., 38:2 (1979), 109–119
Citation in format AMSBIB
\Bibitem{Kos79}
\by V.~D.~Koshmanenko
\paper Haag--Ruelle scattering theory as scattering theory in different state spaces
\jour TMF
\yr 1979
\vol 38
\issue 2
\pages 163--178
\mathnet{http://mi.mathnet.ru/tmf2702}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=528408}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 38
\issue 2
\pages 109--119
\crossref{https://doi.org/10.1007/BF01016831}
Linking options:
  • https://www.mathnet.ru/eng/tmf2702
  • https://www.mathnet.ru/eng/tmf/v38/i2/p163
    • This publication is cited in the following 5 articles:
    1. John Earman, Doreen Fraser, “Haag's Theorem and its Implications for the Foundations of Quantum Field Theory”, Erkenntnis, 64:3 (2006), 305  crossref
    2. S. Albeverio, V. Koshmanenko, S. Kuzhel, “On a variant of abstract scattering theory in terms of quadratic forms”, Reports on Mathematical Physics, 54:3 (2004), 309  crossref
    3. M. Vollenberg, V. D. Koshmanenko, “Generalized asymptotic constants”, Ukr Math J, 38:4 (1987), 352  crossref
    4. M. Wollenberg, H. Neidhardt, V. D. Koshmanenko, “Scattering problem in the theory of singular perturbations of self-adjoint operators”, Ukr Math J, 36:1 (1984), 5  crossref
    5. V. D. Koshmanenko, “Structure of the general solution of the inverse scattering problem in an abstract formulation”, Ukr Math J, 32:4 (1981), 344  crossref
    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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    Abstract page:382
    Full-text PDF :175
    References:69
    First page:1
     
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