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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 1, Pages 17–33
DOI: https://doi.org/10.4213/tmf6484 (Mi tmf6484) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Spectral properties of the generalized Friedrichs model

E. R. Akchurin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (526 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6484
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 1, Pages 414–428
DOI: https://doi.org/10.1007/s11232-010-0032-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. R. Akchurin, “Spectral properties of the generalized Friedrichs model”, TMF, 163:1 (2010), 17–33; Theoret. and Math. Phys., 163:1 (2010), 414–428
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    First page:58
     
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