Anderson Localization for Random Schrödinger Operators with Long Range Interactions

被引：0

作者：

Werner Kirsch

Peter Stollmann

Günter Stolz

机构：

[1] Institut für Mathematik,

[2] Ruhr-Universität Bochum,undefined

[3] D-44780 Bochum,undefined

[4] Germany.¶E-mail: werner@mathphys.ruhr-uni-bochum.de,undefined

[5] Fachbereich Mathematik,undefined

[6] Johann Wolfgang Goethe-Universität,undefined

[7] D-60054 Frankfurt am Main,undefined

[8] Germany.¶E-mail: stollman@math.uni-frankfurt.de,undefined

[9] University of Alabama at Birmingham,undefined

[10] Department of Mathematics,undefined

[11] Birmingham,undefined

[12] Alabama 35294,undefined

[13] USA.¶E-mail: stolz@math.uab.edu,undefined

来源：

Communications in Mathematical Physics | 1998年 / 195卷

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摘要：

We prove pure point spectrum with exponentially decaying eigenfunctions at all band edges for Schrödinger Operators with a periodic potential plus a random potential of the form Vw(x) = Σqi(w)f(x - i), where $f$ decays at infinity like |x|−m for m>4d resp. $m>3d depending on the regularity of f. The random variables qi are supposed to be independent and identically distributed. We assume that their distribution has a bounded density of compact support.

引用

页码：495 / 507

页数：12