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How to Prove Dynamical Localization

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Abstract:

Let H be a self-adjoint operator on l 2(Z d) or L 2(R d) with pure point spectrum on some interval I. We establish general necessary and sufficient conditions for dynamical localization for a given vector and on the interval of energies I. The sufficient conditions we obtain improve the existing ones such as SULE or WULE and can be useful in applications.

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Authors and Affiliations

  1. MAPMO-CNRS, Département des Mathématiques, Université d'Orléans, BP 6759, 45067 Orléans Cedex 2, France. e-mail: serguei.tcherem@labomath.univ-orleans.fr, , , , , , FR

    Serguei Tcheremchantsev

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  1. Serguei Tcheremchantsev
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Received: 16 November 2000 / Accepted: 14 February 2001

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Tcheremchantsev, S. How to Prove Dynamical Localization. Commun. Math. Phys. 221, 27–56 (2001). https://doi.org/10.1007/s002200100460

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  • DOI: https://doi.org/10.1007/s002200100460

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