caa a22 4500 477103847 CHVBK 20180405111548.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF02925365 doi (NATIONALLICENCE)springer-10.1007/BF02925365 On a class of stochastic differential equations used in quantum optics [Elektronische Daten] [Alberto Barchielli, Fabio Zucca] Stochastic differential equations for processes with values in Hilbert spaces are now largely used in the quantum theory of open systems. In this work we present a class of such equations and discuss their main properties; moreover, we explain how they are derived from purely quantum mechanical models, where the dynamics is represented by a unitary evolution in a Hilbert space, and how they are related to the theory of continual measurements. An essential tool is an isomorphism between the bosonic Fock space and the Wiener space, which allows to connect certain quantum objects with probabilistic ones. Birkhäuser-Verlag, 1998 Barchielli Alberto Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milano, Italy aut Zucca Fabio Dipartimento di Matematica, Università di Milano, Via Saldini, 50, 20133, Milano, Italy aut Rendiconti del Seminario Matematico e Fisico di Milano Birkhäuser-Verlag 66/1(1996-12-01), 355-376 0370-7377 66:1<355 1996 66 32 https://doi.org/10.1007/BF02925365 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02925365 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barchielli Alberto Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Zucca Fabio Dipartimento di Matematica, Università di Milano, Via Saldini, 50, 20133, Milano, Italy aut NATIONALLICENCE 773 0- Rendiconti del Seminario Matematico e Fisico di Milano Birkhäuser-Verlag 66/1(1996-12-01), 355-376 0370-7377 66:1<355 1996 66 32 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer