  An equivalence is demonstrated, by an explicit first order quantum
calculation, between the Minkowski photon emission rate in the inertial frame
for an accelerating charge moving on a Rindler trajectory with additional
transverse drift motion and the combined Rindler photon emission and absorption
rate of the same charge in the Rindler frame in the presence of the Davies
Unruh thermal bath. The equivalence also extends, for the Bremsstrahlung
emitted by the same charge as calculated using the machinery of classical
electrodynamics. The equivalence is shown to also hold for the case of
accelerating charges moving on a Rindler trajectory with additional arbitrary
transverse motion. Our results generalise those of Higuchi et. al. (1992) and
of Cozzella et. al. (2017) for accelerated trajectories with circular
transverse motion. Related issues and experimental implications are discussed.
