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
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.