  A new notion of stochastic germs for quantum processes is introduced and a
characterisation of the stochastic differentials for positive definite (PD)
processes is found in terms of their germs for arbitrary Ito algebra. A
representation theorem, giving the pseudo-Hilbert dilation for the germ-matrix
of the differential, is proved. This suggests the general form of quantum
stochastic evolution equations with respect to the Poisson (jumps), Wiener
(diffusion) or general quantum noise.
