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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

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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