Article

On the existence of an eigenvalue of the generalized Friedrichs model

M. I. MuminovSamarkand State UniversityU. R. ShadievSamarkand State University

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2024en

ABI

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.

Topics

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

Identifiers

DOI: 10.26907/0021-3446-2024-4-31-38

Citations and references

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