Dynamical generation of the time-dependent poisson distribution for particle production

Summary

In an earlier installment a dynamical derivation of thetime-dependent Poisson distribution for particle production, say, of a decaying body was derived by a Lagrangian formulation as a more fundamental approach to the standard one which relates the probability of emission of n particles to that of emission ofn-1 particles. This dynamical derivation is generalized further to study stimulated decaying processes by a decaying body during its active lifetimet, where some particles may be present initially and the latter get absorbed by the body before it starts to decay and further decay may be stimulated.