  A characterisation of the stochastic bounded generators of quantum
irreversible Master equations is given. This suggests the general form of
quantum stochastic evolution with respect to the Poisson (jumps), Wiener
(diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg
evolution in terms of stochastic completely positive (CP) maps is found and the
general form of the stochastic completely dissipative (CD) operator equation is
discovered.
