Article

A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space

G R YodgorovNavoi State Pedagogical Institute, Navoi, UzbekistanFudziah IsmailUniversiti Putra Malaysia , Selangor, MalaysiaZahriddin Muminov

Sbornik Mathematicsjournal2014en

ABI

Abstract

We consider a certain model operator acting in a subspace of a fermionic Fock space. We obtain an analogue of Faddeev's equation. We describe the location of the essential spectrum of the operator under consideration and show that the essential spectrum consists of the union of at most four segments. Bibliography: 19 titles.

Topics

Cold Atom Physics and Bose-Einstein Condensates Spectral Theory in Mathematical Physics Algebraic structures and combinatorial models

Identifiers

DOI: 10.1070/sm2014v205n12abeh004438

Citations and references

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