Abstract
A quasi-probability distribution function based on the coherent state for U(3) is introduced, and its properties are then investigated. With the aid of this function it is shown that the co-operative spontaneous emission from a system of the three-level atoms can be described as a diffusion-like process on C2. In particular, the limit of validity of the semiclassical approach is examined. The case in which the semiclassical approach is not applicable can also be treated approximately by means of the Wiener-Hermite expansion method.

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