Quantum quasiballistic dynamics and thick point spectrum View Full Text


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Article Info

DATE

2019-03-02

AUTHORS

Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

ABSTRACT

We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that for systems with thick point spectrum, typically in Baire’s sense, the dynamics of each initial condition (with respect to some orthonormal bases of the space) presents a quasiballistic behaviour. We present explicit applications to some Schrödinger operators. More... »

PAGES

1-16

References to SciGraph publications

  • 1987-03. Anderson localization for Bernoulli and other singular potentials in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2017-04. Dynamical Localization for Discrete Anderson Dirac Operators in JOURNAL OF STATISTICAL PHYSICS
  • 1990-11. Absence of ballistic motion in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1989-01. Stark effect for a difference Schrödinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1909-12. Über beschränkte quadratische formen, deren differenz vollstetig ist in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
  • 1996-12. Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 1989-06. A new proof of localization in the Anderson tight binding model in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1983-12. Examples of discrete Schrödinger operators with pure point spectrum in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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