According to this view, a line of the hydrogen spectrum is emitted during the passage of the atom between two stationary states corresponding to different values for
. We must assume that the mechanism of emission cannot be described in detail on the basis of the ordinary electrodynamics. However, it is known that it is possible on the latter theory to account satisfactorily for the phenomena of radiation in the region of slow vibrations. If our point of view is sound, we should therefore expect to find in this region some connexion between the present theory and the ordinary ideas of electrodynamics.
From (7) we see that
vanishes for large values of
, and that at the same time the ratio
tends to unity. On the present theory the frequency of the radiation emitted by the transition from the