The Characterization of Certain Quantum Stochastic Stationary Process

作     者：Lun Chuan ZHANG Mao Zheng GUO 

作者机构：School of Information Science Renmin University of China Beijing 100090 P. R. China School of Mathematical Science Peking University Beijing 100871 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2010年第26卷第9期

页      面：1807-1814页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 070207[理学-光学] 07[理学] 08[工学] 0714[理学-统计学（可授理学、经济学学位）] 0803[工学-光学工程] 070103[理学-概率论与数理统计] 0701[理学-数学] 0702[理学-物理学] 

基　　金：Supported partially by National Natural Science Foundation of China (Grant Nos. 10871111  10571099 and 10571003) 

主　　题：Stone type theorem Hilbert C*-module quantum stochastic process spectrum decomposition 

摘      要：In this paper we will obtain a Stone type theorem under the frame of Hilbert C＊-module, such that the classical Stone theorem is our special case. Then we use it as a main tool to obtain a spectrum decomposition theorem of certain stationary quantum stochastic process. In the end, we will give it an interpretation in statistical mechanics of multi-linear response.