The Faddeev equation and the location of the essential spectrum of a model multi-particle operator
Tulkin Husenovich Rasulov
Abstract
Tulkin Husenovich Rasulov
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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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)