6533b7d0fe1ef96bd125a46d
RESEARCH PRODUCT
Anomalous Spreading of Power-Law Quantum Wave Packets
Fabrizio LilloRosario N. Mantegnasubject
PhysicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Network packetWave packetFOS: Physical sciencesGeneral Physics and AstronomyEigenfunctionPower lawConserved quantityComputer Science::Performancesymbols.namesakeQuantum mechanicsComputer Science::Networking and Internet ArchitecturesymbolsExponentQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)QuantumCondensed Matter - Statistical Mechanicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-12-21 | Physical Review Letters |