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Unification theory of classical statistical uncertainty relation and quantum uncertainty relation and its applications |
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| Authors: | Changyu Huang Yong-Chang Huang |
| Institution: | a Institute of Theoretical Physics, Beijing University of Technology, Beijing, 100124, China b Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China c Kavli Institute for Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China d CCAST (World Lab.), P.O. Box 8730, Beijing, 100080, China |
| Abstract: | General classical statistical uncertainty relation is deduced and generalized to quantum uncertainty relation. We give a general unification theory of the classical statistical and quantum uncertainty relations, and prove that the classical limit of quantum mechanics is just classical statistical mechanics. It is shown that the classical limit of the general quantum uncertainty relation is the general classical uncertainty relation. Also, some specific applications show that the obtained theory is self-consistent and coincides with those from physical experiments. |
| Keywords: | Quantum mechanics Uncertainty relation Classical statistics Operator |
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