This article is cited in 6 papers

Spectral properties of the generalized Friedrichs model

E. R. Akchurin

Lomonosov Moscow State University, Moscow, Russia

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.

Keywords: generalized Friedrichs model, resolvent, spectrum, generalized eigenvector, wave operator.

Received: 03.09.2009

DOI: 10.4213/tmf6484

 English version: Theoretical and Mathematical Physics, 2010, 163:1, 414–428

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