This article is cited in 14 papers

The Faddeev equation and the location of the essential spectrum of a model operator for several particles

T. H. Rasulov

Samarkand State University, Samarkand, Uzbekistan

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 the eigenfunctions of this operator.

Keywords: Fock space, model operator, essential spectrum, Faddeev equation.

UDC: 517.984

Received: 16.11.2006

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:12, 50–59

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