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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 39, Number 3, Pages 330–346 (Mi tmf2851)  
This article is cited in 1 scientific paper (total in 1 paper)

Diagonalization of bilinear bose Hamiltonians and asymptotic behavior of the Heisenberg fields they generate

L. A. Dadashev, V. Yu. Kuliev
Full-text PDF (2000 kB) Citations (1)
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Abstract: Necessary and sufficient conditions are obtained for bilinear real Bose Hamiltonians to be diagonalizable by means of a canonical Bogolyubov transformation; expressions are given for the coefficients of the diagonal form. In particular, it is shown that semibounded Hamiltonians of the considered class are always diagonalizable. The intimately related question of asymptotic boundedness of the Heisenberg fields corresponding to bilinear Hamiltonians is studied. Conditions are found under which these Hamiltonians generate asymptotically bounded fields.
Received: 15.05.1978
English version:
Theoretical and Mathematical Physics, 1979, Volume 39, Issue 3, Pages 496–506
DOI: https://doi.org/10.1007/BF01017996
Bibliographic databases:
Language: Russian
Citation: L. A. Dadashev, V. Yu. Kuliev, “Diagonalization of bilinear bose Hamiltonians and asymptotic behavior of the Heisenberg fields they generate”, TMF, 39:3 (1979), 330–346; Theoret. and Math. Phys., 39:3 (1979), 496–506
Citation in format AMSBIB
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\by L.~A.~Dadashev, V.~Yu.~Kuliev
\paper Diagonalization of bilinear bose Hamiltonians and asymptotic behavior of the Heisenberg fields they generate
\jour TMF
\yr 1979
\vol 39
\issue 3
\pages 330--346
\mathnet{http://mi.mathnet.ru/tmf2851}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541889}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 39
\issue 3
\pages 496--506
\crossref{https://doi.org/10.1007/BF01017996}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JA61200005}
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  • https://www.mathnet.ru/eng/tmf2851
  • https://www.mathnet.ru/eng/tmf/v39/i3/p330
    • This publication is cited in the following 1 articles:
    1. P. Broadbridge, C.A. Hurst, “Canonical forms for quadratic Hamiltonians”, Physica A: Statistical Mechanics and its Applications, 108:1 (1981), 39  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:489
    Full-text PDF :286
    References:72
    First page:1
     
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