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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 2, Pages 269–281 (Mi tmf2167)  
This article is cited in 6 scientific papers (total in 6 papers)

On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems

S. A. Vugal'ter, G. M. Zhislin
Full-text PDF (724 kB) Citations (6)
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Abstract: For the energy operator of a system of three one-dimensional or two-dimeasional quantum particles conditions are found under which the discrete spectrum is finite in spaces of functions of given symmetry. It follows from the obtained results in particular that the Efimov effect is absent for the considered systems.
Received: 19.04.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 55, Issue 2, Pages 493–502
DOI: https://doi.org/10.1007/BF01015810
Bibliographic databases:
Language: Russian
Citation: S. A. Vugal'ter, G. M. Zhislin, “On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems”, TMF, 55:2 (1983), 269–281; Theoret. and Math. Phys., 55:2 (1983), 493–502
Citation in format AMSBIB
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\by S.~A.~Vugal'ter, G.~M.~Zhislin
\paper On the discrete spectrum of the energy operator of one- and two-dimensional quantum three-particle systems
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\yr 1983
\vol 55
\issue 2
\pages 269--281
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=734880}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 55
\issue 2
\pages 493--502
\crossref{https://doi.org/10.1007/BF01015810}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RV06700011}
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    • This publication is cited in the following 6 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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