The Characterization of Certain Quantum Stochastic Stationary Process  

作　　者：Lun Chuan ZHANG Mao Zheng GUO 

机构地区：[1]School of Information Science, Renmin University of China, Beijing 100090, P. R. China [2]School of Mathematical Science, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第9期1807-1814,共8页数学学报（英文版）

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

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.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.

关 键 词：Stone type theorem Hilbert C＊-module quantum stochastic process spectrum decomposition 

分 类 号：O431.2[机械工程—光学工程] O211.6[理学—光学]