2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106199A characterisation of quantum stochastic positive definite (PD) exponent is given in terms of the conditional positive definiteness (CPD) of their form-generator. The pseudo-Hilbert dilation of the stochastic form-generator and the pre-Hilbert dilation of the corresponding dissipator is found. The structure of quasi-Poisson stochastic generators giving rise to a quantum stochastic birth processes is studied.9 pages. Paper for Japanese-German Symposium `Infinite Dimensional Harmonic Analysis', Kyoto, 2000Probabilitytext