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The characterization of certain quantum stochastic stationary process

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Abstract

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.

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Authors and Affiliations

  1. School of Information Science, Renmin University of China, Beijing, 100090, P. R. China

    Lun Chuan Zhang

  2. School of Mathematical Science, Peking University, Beijing, 100871, P. R. China

    Mao Zheng Guo

Authors
  1. Lun Chuan Zhang
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  2. Mao Zheng Guo
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Corresponding author

Correspondence to Lun Chuan Zhang.

Additional information

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

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Zhang, L.C., Guo, M.Z. The characterization of certain quantum stochastic stationary process. Acta. Math. Sin.-English Ser. 26, 1807–1814 (2010). https://doi.org/10.1007/s10114-010-7651-4

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  • DOI: https://doi.org/10.1007/s10114-010-7651-4

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