Geodesic
The Faddeev equation and the location of the essential spectrum of a model operator for several particles
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 59-69

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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 the eigenfunctions of this operator.
Keywords: Fock space, model operator, essential spectrum, Faddeev equation. 
@article{IVM_2008_12_a7,
     author = {T. H. Rasulov},
     title = {The {Faddeev} equation and the location of the essential spectrum of a model operator for several particles},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--69},
     publisher = {mathdoc},
     number = {12},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_12_a7/}
}
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T. H. Rasulov. The Faddeev equation and the location of the essential spectrum of a model operator for several particles. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2008), pp. 59-69. http://geodesic.mathdoc.fr/item/IVM_2008_12_a7/