Approximation and limit theorems for quantum stochastic models with unbounded coefficients

Details Approximation and limit theorems for quantum stochastic models with unbounded coefficients Approximation and limit theorems for quantum stochastic models with unbounded coefficients

2007-12-14

arxiv.org/abs/0712.2276v1

Journal of Functional Analysis 254 (2008) 3123-3147

Physics

Mathematical Physics

23 pages

Scientific paper

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.

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