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On the Existence of an Eigenvalue of the Generalized Friedrichs Model

  • M. I. Muminov,
  • U. R. Shadiev

摘要

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.