Fractal dimensions and quantum evolution associated with sparse potential Jacobi matrices

被引：19

作者：

Combes, JM ^{[1
]}

Mantica, G ^{[1
]}

机构：

[1] CNRS Marseille Luminy, Ctr Phys Theor, Unite Propre Rech 7061, F-13288 Marseille, France

来源：

LONG TIME BEHAVIOUR OF CLASSICAL AND QUANTUM SYSTEMS | 2001年 / 1卷

关键词：

D O I：

10.1142/9789812794598_0006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the quantum dynamics generated via Schrodinger equation by sparse-potential Jacobi matrices on l(2)(Z(+)). Exact bounds for the upper and lower intermittency functions governing the asymptotic growth of moments are derived in terms of the fractal dimensions of the spectral measure. Numerical experiments suggest that these bounds are sharp in the case of very sparse barriers.

引用

页码：107 / 123

页数：17

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