The electromagnetic radiation during the non-uniform motion of the fragment
s resulting from the alpha -decay of a heavy nucleus is computed in a time-
dependent quantum formalism. The dynamical characteristics of the alpha -pa
rticle such as position, velocity and acceleration are computed by taking a
verage values of the position and momentum operators and next the bremsstra
hlung emission is determined by resorting to the classical formula for the
radiation power, The contribution of the cc-particle intra-barrier motion t
o the total bremsstrahlung yield is evaluated and some hints are given for
the case when one considers alpha -decay from the ground state.