Eigenfunction entropy as a criterion of localization

被引：9
作者：
de Oliveira, CR [1 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
来源：
PHYSICS LETTERS A | 2002年 / 296卷 / 4-5期
关键词：
localization; entropy; mobility edges; spectral transition;
D O I：
10.1016/S0375-9601(02)00192-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The (Shannon) entropy of eigenfunctions is proposed, as a simple and practical way, to probe localization or delocalization for discrete Schrodinger operators. It is given numerical evidence of its reliability by applying it to a series of models. An important case analytically indicates the entropy is closely related to the mathematical quantum localization of eigenfunctions. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：165 / 170
页数：6
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