Positive Definite Germs of Quantum Stochastic Processes
| dc.creator | Belavkin, V. P. | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:10Z | |
| dc.date.available | 2026-07-07T06:55:10Z | |
| dc.description | 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. | |
| dc.description | 8 pages, with French brief version | |
| dc.identifier | https://arxiv.org/abs/math/0512289 | |
| dc.identifier | http://arxiv.org/abs/math/0512289 | |
| dc.identifier | C. R. Acad. Sc. Paris, 322 (1) 385--390 (1996) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106198 | |
| dc.subject | Probability | |
| dc.title | Positive Definite Germs of Quantum Stochastic Processes | |
| dc.type | text |