Abstract
The effect of the even-binomial state (the state which interpolates between the even-number state and the even-coherent state) on the Jaynes-Cummings model and resonance fluorescence for a single atom and for many cooperative atoms is discussed. The study of two quantum optical systems in such a state provides more insight into the continuous passage from the even-number state to the even-coherent state. The squeezing phenomenon and the correlation Functions are examined.