The quantum mechanical theory of the formation of an emission hologram with
gamma radiation is developed. Radiation, produced by a radioactive source
nucleus, can go directly to a detector or can be resonantly scattered by ne
ighboring resonant nuclei before going to the detector. The interference be
tween these two precesses gives rise to fluctuations in the radiated intens
ity as a function of the emission angle. These fluctuations contain informa
tion about the surrounding of the emitting nucleus. The coupled system of e
quations describing the scattering amplitudes has been solved in the single
scattering approximation. [S0163-1829(99)02733-2].