  The Lorentz Integral Transform method (LIT) is extended to pion
photoproduction in the $\Delta$-resonance region. The main focus lies on the
solution of the conceptual difficulties which arise if energy dependent
operators for nucleon resonance excitations are considered. In order to
demonstrate the applicability of our approach, we calculate the inclusive cross
section for $\pi^0$-photoproduction off the deuteron within a simple pure
resonance model.
