How to Prove Dynamical Localization |
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| Authors: | Serguei Tcheremchantsev |
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| Institution: | (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 |
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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.
Received: 16 November 2000 / Accepted: 14 February 2001 |
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| Keywords: | |
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