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Fisher-Rényi entropy product and information plane. (English) Zbl 1227.81271
Summary: Connection between Fisher information and Rényi entropy has been established. This link allows us to define the Fisher-Rényi information plane and an entropic product in terms of these quantities. New Rényi uncertainty relations are obtained for single particle densities of many particle systems in position-momentum conjugate spaces.

MSC:
81V70 Many-body theory; quantum Hall effect
81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics
81S99 General quantum mechanics and problems of quantization
94A17 Measures of information, entropy
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