On a class of stochastic differential equations used in quantum optics

Details On a class of stochastic differential equations used in quantum optics On a class of stochastic differential equations used in quantum optics

1997-11-17

arxiv.org/abs/funct-an/9711002v2

Rendiconti del Seminario Matematico e Fisico di Milano Vol.LXVI (Due Erre Grafica, Milano, 1998), pp. 355-376.

Mathematics

Functional Analysis

13 pages, LaTeX2e

Scientific paper

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 allow to connect certain quantum objects with probabilistic ones.

Affiliated with

Also associated with

No associations

Rating

On a class of stochastic differential equations used in quantum optics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a class of stochastic differential equations used in quantum optics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a class of stochastic differential equations used in quantum optics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500837