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Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum

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Abstract

We consider a model operator acting in a subspace of a Fock space and obtain a symmetrized analogue of the Faddeev equation. For the operator considered, we describe the position and the structure of its essential spectrum.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 3, pp. 544–554, September, 2005.

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Yodgorov, G.R., Muminov, M.E. Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum. Theor Math Phys 144, 1344–1352 (2005). https://doi.org/10.1007/s11232-005-0163-1

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  • DOI: https://doi.org/10.1007/s11232-005-0163-1

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