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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 1, Pages 61–70 (Mi ivm8863)  
This article is cited in 10 scientific papers (total in 10 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 (10)
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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
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\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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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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