  The general expressions for the time development of the ensemble averages of
E^- and E^-E^+ are found for N two level molecules (TLMs) interacting with a
single mode electromagnetic field. The TLMs are assumed to be at equivalent
mode positions in the field. In the main body of the paper, the general results
are then simplified by assuming that all TLMs are in the up state at time 0.
Examples of spontaneous emission behavior including both Super Radiant behavior
and emission suppression are shown in Appendix E while stimulated emission with
all TLMs initially in the lower state is examined in Appendix F. Both resonant
and non resonant cases are considered in the main body. Analytic results are
presented for low numbers of TLMs. In the appendices, it will be shown that for
the mean photon number large in comparison to the number of TLMs, that the
Average Field Approximation (AFA) is a useful representation with much simpler
analytic form. The validity of this approximation will also be examined. In the
main paper, a comparison between the exact results and results using the AFA
will be presented for a small number of TLMs and a large average photon number.
It will be found that the results are in general remarkably similar but for non
resonance differ somewhat at a finer level of detail. Of interest is that the
ensemble averages for N TLMs is similar to the ensemble average for a single
TLM multiplied by the number of TLMs which is somewhat disappointing but is
believed to be the consequence of assuming that all TLMs are at equivalent mode
positions and large mean photon number. Some results for smaller photon number
will also be presented
