Localization for one dimensional long range random Hamiltonians

被引：7
|
作者：
Jaksic, V
Molchanov, S
机构：
[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
[2] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 1999年 / 11卷 / 01期
关键词：
D O I：
10.1142/S0129055X99000052
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study spectral properties of random Schrodinger operators h(omega) = h(0) + v(omega)(n) on l(2)(Z) whose free part h(0) is long range. We prove that the spectrum of h(omega) is pure point for typical omega whenever the off-diagonal terms of h(0) decay as \i - j\(-gamma) for some gamma > 8.
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页码：103 / 135
页数：33
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