Remarks on the relation between quantum dynamics and fractal spectra

DOI10.1006/jmaa.1997.5571zbMath0893.47048OpenAlexW1970107326MaRDI QIDQ1378728

R. Montcho, Jean-Marie Barbaroux, Jean-Michel Combes

Publication date: 24 August 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d4fd0d451f60f8857336635bd1da6094787766bf

zbMATH Keywords

stabilityspectral measurelarge time behaviourinformation dimensionrank one perturbationsgrowth exponents for moments of position operatorsHausdorff and correlation dimensionslocal and global dimensionssolutions of Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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