The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales

Details The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales

2000-12-19

arxiv.org/abs/math/0012183v1

Mathematics

Quantum Algebra

Scientific paper

The quantum Ito formula has so far been proved for regular (bounded) quantum semimartingales We give three different extensions to classes of essentially self-adjoint (unbounded) quantum semimartingales. The first extension is to quantum semimartingales whose integrands have chaos matrices controlled by certain scalar matrices The second extension is to perturbations of classical, possibly unbounded, quantum semimartingales by bounded quantum semimartingales The third extension is obtained by perturbing an essentially self-adjoint quantum semimartingale satisfying the quantum Duhamel formula by a regular quantum semimartingle.

Affiliated with

Also associated with

No associations

Rating

The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales 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 The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256523