How to Prove Dynamical Localization
- Cite this article as:
- Tcheremchantsev, S. Commun. Math. Phys. (2001) 221: 27. doi:10.1007/s002200100460
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Let H be a self-adjoint operator on l2(Zd) or L2(Rd) 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.