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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

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Annotatsiya

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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Mavzular

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Quantum chaos and dynamical systems

Identifikatorlar

DOI: 10.3103/s1066369x24700257

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