Singular continuous spectra and discrete wave packet dynamics

DOI10.1063/1.531680zbMath0894.46051OpenAlexW2052166662MaRDI QIDQ5284732

Italo Guarneri

Publication date: 30 August 1998

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

Full work available at URL: https://semanticscholar.org/paper/b6ef8c0584abc455add7e5199bcb5c39a5520036

zbMATH Keywords

orthonormal basisspectral measuredensity of stateswave packet dynamicsdiscrete-time evolutionquantum wave packets propagating on the discrete one-dimensional latticespectral dimensions of the Hausdorff type

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General mathematical topics and methods in quantum theory (81Q99) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• Fourier asymptotics of fractal measures
• Non-recurrent behaviour in quantum dynamics
• Mellin transforms associated with Julia sets and physical applications
• Fractal wavelet dimensions and localization
• Ergodic theory of chaos and strange attractors