The Faddeev equation and location of the essential spectrum of a three-particle model operator
Tulkin Husenovich Rasulov, Расулов Тулкин Хусенович, Аскар Ахмадович Рахмонов, Аскар Ахмадович Рахмонов
Abstract
Tulkin Husenovich Rasulov, Расулов Тулкин Хусенович, Аскар Ахмадович Рахмонов, Аскар Ахмадович Рахмонов
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.
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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.
Key concepts: Essential spectrum, Eigenvalues and eigenvectors, Operator (biology), Spectrum (functional analysis), Faddeev equations, Physics, Mathematics, Mathematical physics