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.
All Science Journal Classification (ASJC) codes
- Adiabatic elimination
- Approximation and limit theorems
- Hudson-Parthasarathy equations
- Quantum stochastic models
- Singular perturbation
- Trotter-Kato theorem