  The Friedrichs model with one discrete state coupled to more than one
continuum is studied. The exact eigenstates for the full Hamiltonian can be
solved explicitly. The discrete state is found to generate more than one
virtual state pole or more than one pair of resonance poles in different
Riemann sheets in different situations. The form factors could also generate
new states on different sheets. All these states can appear in the generalized
completeness relation.
