Quantum stochastic differential equations and continuous measurements: unbounded coefficients

Details Quantum stochastic differential equations and continuous measurements: unbounded coefficients Quantum stochastic differential equations and continuous measurements: unbounded coefficients

2010-01-18

arxiv.org/abs/1001.2826v1

Rep. Math. Phys. 67 (2011) 229-254

Mathematics

Probability

28 pages

Scientific paper

10.1016/S0034-4877(11)80014-5

A natural formulation of the theory of quantum measurements in continuous time is based on quantum stochastic differential equations (Hudson-Parthasarathy equations). However, such a theory was developed only in the case of Hudson-Parthasarathy equations with bounded coefficients. By using some results on Hudson-Parthasarathy equations with unbounded coefficients, we are able to extend the theory of quantum continuous measurements to cases in which unbounded operators on the system space are involved. A significant example of a quantum optical system (the degenerate parametric oscillator) is shown to fulfill the hypotheses introduced in the general theory.

Affiliated with

Also associated with

No associations

Rating

Quantum stochastic differential equations and continuous measurements: unbounded coefficients 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 Quantum stochastic differential equations and continuous measurements: unbounded coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum stochastic differential equations and continuous measurements: unbounded coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659414