局部量子Bernoulli噪声意义下的随机Schrödinger方程的有限维逼近

doi:10.6040/j.issn.1671-9352.0.2017.174

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (12): 67-71.doi: 10.6040/j.issn.1671-9352.0.2017.174

局部量子Bernoulli噪声意义下的随机Schrödinger方程的有限维逼近

黄爱玲,林帅

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2017-04-20 出版日期:2017-12-20 发布日期:2017-12-22
作者简介:黄爱玲(1991— ), 女, 硕士研究生, 研究方向为随机分析. E-mail:1391106714@qq.com

Finite dimensional approximation of linear stochastic Schrödinger equation in terms of localization of quantum Bernoulli noises

HUANG Ai-ling, LIN Shuai

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2017-04-20 Online:2017-12-20 Published:2017-12-22

摘要/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Schrödinger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。

关键词: 线性随机Schrö, 局部量子Bernoulli噪声, 有限维逼近, dinger方程, 先验估计

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 Schrödinger 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.

Key words: priori estimates, rate of convergence, local quantum Bernoulli noise, stochastic Schrö, numerical solution, dinger equation

中图分类号:

O211.4

黄爱玲,林帅. 局部量子Bernoulli噪声意义下的随机Schrödinger方程的有限维逼近[J]. 山东大学学报（理学版）, 2017, 52(12): 67-71.

HUANG Ai-ling, LIN Shuai. Finite dimensional approximation of linear stochastic Schrödinger equation in terms of localization of quantum Bernoulli noises[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 67-71.

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局部量子Bernoulli噪声意义下的随机Schrödinger方程的有限维逼近

Finite dimensional approximation of linear stochastic Schrödinger equation in terms of localization of quantum Bernoulli noises

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