Remarks on the relation between quantum dynamics and fractal spectra

被引：32

作者：

Barbaroux, JM ^{[1
]}

Combes, JM ^{[1
]}

Montcho, R ^{[1
]}

机构：

[1] UNIV TOULON & VAR,DEPT MATH,F-83957 LA GARDE,FRANCE

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 213卷 / 02期

关键词：

D O I：

10.1006/jmaa.1997.5571

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the large time behaviour of various solutions of the Schrodinger equation in terms of some local and global dimensions of the spectral measure. We emphasize in particular the role of the Hausdorff and correlation dimensions for the growth exponents of position moments. We also discuss the stability of such exponents under local perturbations. (C) 1997 Academic Press.

引用

页码：698 / 722

页数：25

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