2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106247A rigged Hilbert space characterisation of the unbounded generators of quantum completely positive (CP) stochastic semigroups is given. The general form and the dilation of the stochastic completely dissipative (CD) equation over the algebra L(H) is described, as well as the unitary quantum stochastic dilation of the subfiltering and contractive flows with unbounded generators is constructed.23 pages. See also related papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.htmlProbabilityDynamical Systemstext