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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

Annotatsiya

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.

Mavzular

Quantum and electron transport phenomena Spectral Theory in Mathematical Physics Cold Atom Physics and Bose-Einstein Condensates

Identifikatorlar

DOI: 10.3103/s1066369x08120086

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