Anomalous Spreading of Power-Law Quantum Wave Packets

Details Anomalous Spreading of Power-Law Quantum Wave Packets Anomalous Spreading of Power-Law Quantum Wave Packets

1999-12-21

arxiv.org/abs/cond-mat/9912387v1

Phys. Rev. Lett. 84, 1061 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.1061

We introduce power-law tail quantum wave packets. We show that they can be seen as eigenfunctions of a Hamiltonian with a physical potential. We prove that the free evolution of these packets presents an asymptotic decay of the maximum of the wave packets which is anomalous for an interval of the characterizing power-law exponent. We also prove that the number of finite moments of the wave packets is a conserved quantity during the evolution of the wave packet in the free space.

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