  We apply the Low's theorem to soft gluon emission from heavy quark scattering
in the nonperturbative strongly interacting quark-gluon plasma (sQGP). The sQGP
is described in terms of the dynamical quasi-particles and adjusted to
reproduce the EoS from lQCD at finite temperature and chemical potential. Since
the emitted gluon is soft and of long wavelength, it does not provide
information on the detailed structure of the scattering, and only the emission
from incoming and outgoing partons is enough. It simplifies the calculations
making the scattering amplitude factorizable into the elastic scattering and
the emission of soft gluon. Imposing a proper upper limit on the emitted gluon
energy, we obtain the guage-invariant scattering cross sections of heavy quarks
with the massive partons of the medium as well as their transport coefficients
(momentum drag and diffusion) in the QGP and compare with those from the
elastic scattering without gluon emission.
