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Article

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

Tulkin H. RasulovSamarkand State University, Universitetskii bulv. 15, Samarkand, 140104, Uzbekistan
Russian Mathematicsjournal2008en
ABI

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.

Topics

Quantum and electron transport phenomenaSpectral Theory in Mathematical PhysicsCold Atom Physics and Bose-Einstein Condensates

Identifiers

DOI
10.3103/s1066369x08120086

Citations and references

Cited by 1011 references
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