Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum |
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Authors: | G R Yodgorov M E Muminov |
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Institution: | (1) Complex Research Institute for Regional Problems, Samarkand Branch, Uzbekistan Academy of Sciences, Samarkand, Uzbekistan;(2) Samarkand State University, Samarkand, Uzbekistan |
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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.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 3, pp. 544–554, September, 2005. |
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Keywords: | creation and annihilation operators essential spectrum positive operator compact operator |
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