Comment on "Anomalous Spreading of Power-Law Quantum Wave Packets"

Details Comment on "Anomalous Spreading of Power-Law Quantum Wave Packets" Comment on "Anomalous Spreading of Power-Law Quantum Wave Packets"

2000-03-22

arxiv.org/abs/cond-mat/0003366v1

Physics

Condensed Matter

Statistical Mechanics

submitted to PRL

Scientific paper

A family of wave packets with power law tails are employed to analyze the long time dependence of the corresponding probability density. The densities, associated to packets for free particles in the one-dimensional space, with sufficiently long tails decay asymptotically in time following a $t^{-\beta}$ law (with $\beta<1$), slower than the usual $t^{-1}$ one, including the particular case $(ln t)^2/t$ not correctly discussed in F. Lillo and R. N. Mantegna (Phys. Rev. Lett. 84, 1061 (2000)).

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