RESONANT BRANCH CUTS IN A GENERALIZED FRIEDRICHS MODEL

摘要

We study an example of a generalized Friedrichs model, in which a continuous-continuous coupling produces a pair of resonances as branch cuts of the analytic continuation of the reduced resolvent of the perturbed Hamiltonian to the second sheet of the Riemann surface associated to a transformation of the type w = z + alpha root z. To define the perturbation, we use the theory of self-adjoint extensions of symmetric operators proposed by the group of St. Petersburg. (C) 1996 John Wiley & Sons, Inc. [References: 15]