Journals Information
Mathematics and Statistics Vol. 5(1), pp. 19 - 24
DOI: 10.13189/ms.2017.050103
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A Remark on Exponential Dynamical Localization in a Long-range Potential
Victor Chulaevsky *
Department of Mathematics, University of Reims, France
ABSTRACT
Exponential decay of eigenfunctions and of their correlators is shown to occur in two Anderson models on the lattice of arbitrary dimension, with summable decay of infinite-range correlations of the random potential. For the proof, we check the applicability of the Fractional Moment Method.
KEYWORDS
Anderson Localization, Long-range Potentials
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Victor Chulaevsky , "A Remark on Exponential Dynamical Localization in a Long-range Potential," Mathematics and Statistics, Vol. 5, No. 1, pp. 19 - 24, 2017. DOI: 10.13189/ms.2017.050103.
(b). APA Format:
Victor Chulaevsky (2017). A Remark on Exponential Dynamical Localization in a Long-range Potential. Mathematics and Statistics, 5(1), 19 - 24. DOI: 10.13189/ms.2017.050103.