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Investigation of the spectrum of a model operator in a Fock space

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An Erratum to this article was published on 01 February 2010

Abstract

We consider a model operator H corresponding to a quantum system with a nonconserved finite number of particles on a lattice. Based on an analysis of the spectrum of the channel operators, we describe the position of the essential spectrum of H. We obtain a Faddeev-type equation for the eigenvectors of H.

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Authors and Affiliations

  1. Samarkand State University, Samarkand, Uzbekistan

    T. Kh. Rasulov

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  1. T. Kh. Rasulov
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Correspondence to T. Kh. Rasulov.

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__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 2, pp. 164–175, November, 2009.

An erratum to this article is available at http://dx.doi.org/10.1007/s11232-010-0020-8.

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Rasulov, T.K. Investigation of the spectrum of a model operator in a Fock space. Theor Math Phys 161, 1460–1470 (2009). https://doi.org/10.1007/s11232-009-0133-0

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  • DOI: https://doi.org/10.1007/s11232-009-0133-0

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