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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 4, Pages 31–38
DOI: https://doi.org/10.26907/0021-3446-2024-4-31-38 (Mi ivm9970) 		 
On the existence of an eigenvalue of the generalized Friedrichs model

M. I. Muminov, U. R. Shadiev

Samarkand State University, 15 University blvd., Samarkand, 140104 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2024-4-31-38
Abstract: We consider a family of bounded self-adjoint matrix operators (generalized Friedrichs models) acting on the direct sum of one-particle and two-particle subspaces of the Fock space. Conditions for the existence of eigenvalues of the matrix operators are obtained.
Keywords: Friedrichs model, subspace of the Fock space, eigenvalue, essential spectrum.
Funding agency Grant number
Фонд фундаментальной науки Республики Узбекистан ФЗ-20200929224
Received: 11.02.2023
Revised: 25.03.2023
Accepted: 29.03.2023
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. I. Muminov, U. R. Shadiev, “On the existence of an eigenvalue of the generalized Friedrichs model”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 4, 31–38
Citation in format AMSBIB
\Bibitem{MumSha24}
\by M.~I.~Muminov, U.~R.~Shadiev
\paper On the existence of an eigenvalue of the generalized Friedrichs model
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 4
\pages 31--38
\mathnet{http://mi.mathnet.ru/ivm9970}
\crossref{https://doi.org/10.26907/0021-3446-2024-4-31-38}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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