Dynamical localization II with an application to the almost Mathieu operator

DOI10.1023/A:1004533629182zbMath0942.60102OpenAlexW1674638202MaRDI QIDQ1308027

François Germinet

Publication date: 22 November 1999

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

Full work available at URL: https://doi.org/10.1023/a:1004533629182

zbMATH Keywords

Schrödinger operatormultiscale analysisdynamical localizationalmost Mathieu operatoruniform exponential localization

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum chaos (81Q50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (8)

A characterization of the Anderson metal-insulator transport transition ⋮ Localization in one-dimensional quasi-periodic nonlinear systems ⋮ Reducibility of one-dimensional quasi-periodic Schrödinger equations ⋮ New characterizations of the region of complete localization for random Schrödinger operators ⋮ Edge and impurity effects on quantization of Hall currents ⋮ STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL ⋮ Upper bounds in quantum dynamics ⋮ SPECTRAL PROPERTIES OF DYNAMICAL LOCALIZATION FOR SCHRÖDINGER OPERATORS

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