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

R. S. Mendes; C. Anteneodo

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

Statistical Mechanics 2007-05-23 v1

Authors: R. S. Mendes , C. Anteneodo

Abstract

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)).

Keywords

quantum wave packets power-law tails anomalous spreading probability density time decay

Cite

@article{arxiv.cond-mat/0003366,
  title  = {Comment on "Anomalous Spreading of Power-Law Quantum Wave Packets"},
  author = {R. S. Mendes and C. Anteneodo},
  journal= {arXiv preprint arXiv:cond-mat/0003366},
  year   = {2007}
}

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

Abstract

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