Geodesic
Structure of the essential spectrum of a model operator associated to a system of three particles on a~lattice
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 34-43

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We consider a model operator $H$ associated to a system of three particles interacting via nonlocal pair potentials on a three dimensional lattice. The existence conditions of the eigenvalues of a corresponding Friedrichs model are found and the structure of the essential spectrum of $H$ is studied.
Keywords: model operator, nonlocal potential, essential spectrum, Friedrichs model, eigenvalue, Fredholm determinant. 
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     author = {T. H. Rasulov},
     title = {Structure of the essential spectrum of a model operator associated to a system of three particles on a~lattice},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {34--43},
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}
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T. H. Rasulov. Structure of the essential spectrum of a model operator associated to a system of three particles on a~lattice. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2012), pp. 34-43. http://geodesic.mathdoc.fr/item/VSGTU_2012_2_a3/