Fine temporal structures in hard X-ray and microwave emissions of solar fla
res have been known for many years. Recent observations with high time and
spatial resolution revealed that emissions in the wings of H alpha could al
so exhibit fast (subsecond) fluctuations. We argue that such fluctuations a
re physically related to the small-scale injection of high-energy electrons
. We explore this through numerical calculations. The energy equation and t
he equations for energy-level populations in hydrogen, in particular includ
ing the nonthermal collisional excitation and ionization rates, are solved
simultaneously for an atmosphere impacted by a short-lived electron beam. W
e determine the temporal evolution of the atmospheric temperature, the atom
ic level populations, and the Ha line intensity. We find that although the
background H alpha wing emission is mainly formed in the photosphere, the f
ast fluctuations are probably produced in the chromosphere, which is penetr
ated by similar to 20 keV electrons. To yield H alpha wing fluctuations of
amplitude comparable to the observations, a mean energy flux of similar to
(1-2) x 10(11) ergs cm(-2) s(-1) is required for the electron beam, if one
adopts a Gaussian macrovelocity of 25 km s(-1). Such a burst contains a tot
al energy of 10(25)-10(26) ergs. These parameters are compatible with eleme
ntary flare bursts.