On the existence of an eigenvalue of the generalized Friedrichs model
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.
About the Authors
M. I. Muminov
Samarkand State University
Uzbekistan
Uzbekistan
Mukhiddin Ishkobilovich Muminov
15 University blvd., Samarkand, 140104
U. R. Shadiev
Samarkand State University
Uzbekistan
Uzbekistan
Usmon Ramazanovich Shadiev
15 University blvd., Samarkand, 140104
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Review
For citations:
Muminov M.I., Shadiev U.R. On the existence of an eigenvalue of the generalized Friedrichs model. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(4):31-38. (In Russ.) https://doi.org/10.26907/0021-3446-2024-4-31-38
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