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arXiv 0712.2276math-phmath.FAmath.MPquant-ph
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系数无界的量子随机模型的逼近与极限定理

Approximation and limit theorems for quantum stochastic models with unbounded coefficients

Luc Bouten, Ramon van Handel, Andrew Silberfarb

摘要:

证明了系数无界的量子随机微分方程的一个极限定理,推广了收缩半群的Trotter-Kato定理。从这个定理出发,得到了关于逼近收敛性和奇异摄动的一般结果。结果说明在几个例子中的物理利益。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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