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Spectral properties of the generalized Friedrichs model

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Abstract

We consider the self-adjoint generalized Friedrichs model with small values of the “coupling parameter.” In this case, we completely investigate the spectrum of the model and the structure of its eigenvectors (both ordinary and generalized). The constructions we use are based on an analysis of the resolvent of the Friedrichs operator and on the corresponding scattering theory.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. R. Akchurin

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  1. E. R. Akchurin
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Correspondence to E. R. Akchurin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 163, No. 1, pp. 17–33, April, 2010.

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Akchurin, E.R. Spectral properties of the generalized Friedrichs model. Theor Math Phys 163, 414–428 (2010). https://doi.org/10.1007/s11232-010-0032-4

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  • DOI: https://doi.org/10.1007/s11232-010-0032-4

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