2008•Russian MathematicsRequires access

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

Tulkin Husenovich Rasulov

Open publisher page 17 citations

Abstract

In this paper we consider a model operator which acts in a three-particle cut subspace of the Fock space. We describe “two-particle” and “three-particle” branches of the essential spectrum and obtain an analog of the Faddeev equation for eigenfunctions of this operator.

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What this paper is about

In this paper we consider a model operator which acts in a three-particle cut subspace of the Fock space. We describe “two-particle” and “three-particle” branches of the essential spectrum and obtain an analog of the Faddeev equation for eigenfunctions of this operator.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we consider a model operator which acts in a three-particle cut subspace of the Fock space. We describe “two-particle” and “three-particle” branches of the essential spectrum and obtain an analog of the Faddeev equation for eigenfunctions of this operator.

Key concepts: Eigenfunction, Operator (biology), Mathematics, Spectrum (functional analysis), Subspace topology, Fock space, Essential spectrum, Particle (ecology)

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