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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

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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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What this paper is about

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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Available 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.

Key concepts: Essential spectrum, Eigenvalues and eigenvectors, Operator (biology), Spectrum (functional analysis), Faddeev equations, Physics, Mathematics, Mathematical physics

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