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On the Existence of an Eigenvalue of the Generalized Friedrichs Model

M. I. MuminovSamarkand State University, 140104, Samarkand, UzbekistanU. R. ShadievSamarkand State University, 140104, Samarkand, Uzbekistan
Russian Mathematicsjournal2024en
ABI

Аннотация

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.

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