Approximation and limit theorems for quantum stochastic models with unbounded coefficients
Mathematical Physics
2008-05-08 v1 Functional Analysis
math.MP
Quantum Physics
Abstract
We prove a limit theorem for quantum stochastic differential equations with unbounded coefficients which extends the Trotter-Kato theorem for contraction semigroups. From this theorem, general results on the convergence of approximations and singular perturbations are obtained. The results are illustrated in several examples of physical interest.
Keywords
Cite
@article{arxiv.0712.2276,
title = {Approximation and limit theorems for quantum stochastic models with unbounded coefficients},
author = {Luc Bouten and Ramon van Handel and Andrew Silberfarb},
journal= {arXiv preprint arXiv:0712.2276},
year = {2008}
}
Comments
23 pages