In this report we review the experimental and theoretical developments
concerning the elementary process of electron bremsstrahlung. The ter
m ''elementary process'' means that not only the emitted bremsstrahlun
g photons are considered but also the pertinent decelerated electrons.
Experimentally the elementary process is observed by detecting the ph
otons in coincidence with outgoing electrons scattered into a particul
ar direction. The results of such electron-photon coincidence experime
nts yield stringent tests for theoretical predictions of the fully dif
ferential cross section. Much deeper insight into the bremsstrahlung p
rocess is achieved by also taking into account polarization variables
such as the spin orientation of the incoming electron or the polarizat
ion of the emitted photon. Thus conspicuous effects of the weak spin-o
rbit interaction can be observed which are usually masked in non-coinc
idence experiments. Bremsstrahlung is produced not only in the Coulomb
field of an atomic nucleus but also in a collision between an incomin
g electron and an atomic electron which then is ejected. By using the
electron-photon coincidence technique it is possible to differentiate
exactly between electron-electron bremsstrahlung and electron-nucleus
bremsstrahlung. All coincidence experiments done for studying the elem
entary bremsstrahlung process have been performed in the energy region
of a few hundred keV. In the MeV to GeV region the coincidence method
is mainly used to test radiative corrections from quantum electrodyna
mics or to obtain ''monochromatic'' tagged photon beams for further ap
plications.