Geodesic
The Faddeev equation and location of the essential spectrum of a three-particle model operator
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 170-180

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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. 
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T. Kh. Rasulov; A. A. Rakhmonov. The Faddeev equation and location of the essential spectrum of a three-particle model operator. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 170-180. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a21/