What Determines the Spreading of a Wave Packet?

DOI10.1103/PhysRevLett.79.1959zbMath0944.81002arXivcond-mat/9611006WikidataQ120340916 ScholiaQ120340916MaRDI QIDQ4492439

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Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9611006

zbMATH Keywords

energy spectrumeigenfunctionsmultifractal dimensionsasymptotic scalingspreading wave packet

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05)

Related Items (12)

UPPER BOUNDS FOR QUANTUM DYNAMICS GOVERNED BY JACOBI MATRICES WITH SELF-SIMILAR SPECTRA ⋮ WAVE INTERACTIONS IN LOCALIZING MEDIA — A COIN WITH MANY FACES ⋮ Unnamed Item ⋮ Critical behaviour of the quasi-periodic quantum Ising chain ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains ⋮ Integral characteristics of wave packets in the problem of the evolution of a wave function on a one-dimensional lattice ⋮ Fractal states in quantum information processing ⋮ Some generic fractal properties of bounded self-adjoint operators ⋮ A critical look at quantum diffusion and some of its interesting aspects ⋮ Fractal dimensions and the phenomenon of intermittency in quantum dynamics ⋮ Upper bounds in quantum dynamics

Cites Work

• On equivalent definitions of the correlation dimension for a probability measure
• Fractal wavelet dimensions and localization
• Fractal measures and their singularities: The characterization of strange sets

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