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- 2017
局部量子Bernoulli噪声意义下的随机Schr？dinger方程的有限维逼近
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Abstract:
摘要： 局部量子Bernoulli噪声是局部的湮灭算子和增生算子族,满足局部等时典则反交换关系。考虑局部量子Bernoulli噪声意义下的线性随机Schr？dinger方程,讨论了其解的存在唯一性,先验估计以及有限维逼近问题。
Abstract: Local quantum Bernoulli noise is the family of local annihilation and creation operators, which is localization of quantum Bernoulli noise and satisfies a local canonical anti-communication relation in equal time. A linear stochastic Schr？dinger equation in terms of local quantum Bernoulli noise is considered. The existence and uniqueness of a solution to the equation, its priori estimates as well as its finite dimensional approximation are discussed
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