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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 1, Pages 61–70 (Mi ivm8863)  
This article is cited in 9 scientific papers (total in 9 papers)

The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice

T. Kh. Rasulov, R. T. Mukhitdinov

Chair of Mathematical Physics and Analysis, Bukhara State University, 11 M. Ikbol str., Bukhara, 200100 Republic of Uzbekistan
Full-text PDF (214 kB) Citations (9)
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Abstract: We consider a model operator $H$ associated with a system of three particles on a lattice interacting via nonlocal pair potentials. Under some natural conditions on the parameters specifying this model operator $H$, we prove the finiteness of its discrete spectrum.
Keywords: discrete spectrum, nonlocal potential, continuity in the uniform operator topology, Hilbert–Schmidt class, Weinberg equation.
Received: 11.09.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 1, Pages 52–59
DOI: https://doi.org/10.3103/S1066369X1401006X
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: T. Kh. Rasulov, R. T. Mukhitdinov, “The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 1, 61–70; Russian Math. (Iz. VUZ), 58:1 (2014), 52–59
Citation in format AMSBIB
\Bibitem{RasMuk14}
\by T.~Kh.~Rasulov, R.~T.~Mukhitdinov
\paper The finiteness of the discrete spectrum of a~model operator associated with a~system of three particles on a~lattice
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 1
\pages 61--70
\mathnet{http://mi.mathnet.ru/ivm8863}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 1
\pages 52--59
\crossref{https://doi.org/10.3103/S1066369X1401006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84892509056}
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  • https://www.mathnet.ru/eng/ivm/y2014/i1/p61
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :29
    References:21
    First page:9
     
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