Quantum Probability for Probabilists
Quantum Probability for Probabilists
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DOI：
10.1007/978-3-662-21558-6
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发表时间：
1993-03
期刊：
影响因子：
--
通讯作者：
P. Meyer
中科院分区：
文献类型：
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作者：
P. Meyer
近年来，经典的随机积分理论和随机微分方程已经扩展到一个非交换的建立，以建立量子噪声的模型。作者是经典随机微积分和鞅理论的专家，他试图以一种熟悉伊藤积分的概率学家可以理解的方式介绍这个迅速发展的领域。另一方面，它也可以为熟悉福克空间分析的物理学家提供一种接近随机演算方法的方法。对于第二版，作者增加了大约30页的新材料，主要是关于量子随机积分。
In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.