Abstract
We treat the interaction of a single cavity mode with a system of atoms, all with the same transition frequency which is assumed equal to the frequency of the mode. The mode and the atoms are assumed to have infinite lifetime, when not coupled together. By a machine calculation the time variation of the number of photons is determined, taking into account up to 80 atoms. The photon number oscillates as a function of time. The results are compared with those of approximate methods used by SERBER and TOWNES and FRISCH and HAKEN. Finally a new semiclassical treatment of the equations of motions is given, which is capable of showing the oscillations of the photon number.
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