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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 2(23), Pages 170–180
DOI: https://doi.org/10.14498/vsgtu903 (Mi vsgtu903) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Theoretical and Mathematical Physics

The Faddeev equation and location of the essential spectrum of a three-particle model operator

T. Kh. Rasulovab, A. A. Rakhmonova

a Dept. of Algebra and Analysis, Bukhara State University, Physics and Mathematics Faculty, Bukhara, Uzbekistan
b Mathematical Institute, University of Bern, Faculty of Faculty of Science, Bern, Switzerland
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DOI: https://doi.org/10.14498/vsgtu903
Abstract: In this paper a model operator $H$ associated to a system of three-particles on a lattice is considered. The location of the essential spectrum of $H$ is described by the spectrum of channel operators. The Faddeev type equation for the eigenvectors of $H$ is obtained.
Keywords: model operator, essential spectrum, channel operator, Faddeev equation.
Original article submitted 21/XII/2010
revision submitted – 21/V/2011
Bibliographic databases:
Document Type: Proceedings
UDC: 517.984.5
MSC: Primary 81Q10; Secondary 35P20, 47N50
Language: Russian
Citation: T. Kh. Rasulov, A. A. Rakhmonov, “The Faddeev equation and location of the essential spectrum of a three-particle model operator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 170–180
Citation in format AMSBIB
\Bibitem{RasRak11}
\by T.~Kh.~Rasulov, A.~A.~Rakhmonov
\paper The Faddeev equation and location of the essential spectrum of a three-particle model operator
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 170--180
\mathnet{http://mi.mathnet.ru/vsgtu903}
\crossref{https://doi.org/10.14498/vsgtu903}
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