Lower Bounds on Wave Packet Propagation by Packing Dimensions of Spectral Measures
نویسندگان
چکیده
We prove that, for any quantum evolution in`2 (Z D), there exist arbitrarily long time scales on which the qth moment of the position operator increases at least as fast as a power of time given by q=D times the packing dimension of the spectral measure. Packing dimensions of measures and their connections to scaling exponents and box-counting dimensions are also discussed.
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