Intermittent lower bound on quantum diffusion

DOI10.1023/A:1007610717491zbMath1001.81019OpenAlexW1601195999MaRDI QIDQ1973936

Hermann Schulz-Baldes, Italo Guarneri

Publication date: 8 July 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007610717491

zbMATH Keywords

spectral measurequantum dynamicsself-adjoint bounded Hamiltonianspreading of a wave packet

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Fractals (28A80)

Related Items (10)

Transfer matrices and transport for Schrödinger operators. ⋮ Upper bounds on wavepacket spreading for random Jacobi matrices ⋮ Some generic fractal properties of bounded self-adjoint operators ⋮ Dynamical bounds for Sturmian Schrödinger operators ⋮ Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators ⋮ A note on the generalized fractal dimensions of a probability measure ⋮ Fractal dimensions and the phenomenon of intermittency in quantum dynamics ⋮ Upper bounds in quantum dynamics ⋮ Generalized fractal dimensions: equivalences and basic properties. ⋮ Mixed lower bounds for quantum transport.

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