ON AN ESTIMATE CONCERNING QUANTUM DIFFUSION IN THE PRESENCE OF A FRACTAL SPECTRUM

被引:90
作者
GUARNERI, I [1 ]
机构
[1] INFN,I-27100 PAVIA,ITALY
来源
EUROPHYSICS LETTERS | 1993年 / 21卷 / 07期
关键词
FUNCTIONAL ANALYTICAL METHODS;
D O I
10.1209/0295-5075/21/7/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An inequality is proven, relating the rate of spreading of wave packets to the information dimension of the spectrum. This result makes use of a new and general definition of the growth exponent based on discrete Mellin transforms, and corrects an erroneous statement in a previous proof of a similar estimate.
引用
收藏
页码:729 / 733
页数:5
相关论文
共 12 条
[1]   FRACTAL SPECTRUM AND ANOMALOUS DIFFUSION IN THE KICKED HARPER MODEL [J].
ARTUSO, R ;
CASATI, G ;
SHEPELYANSKY, D .
PHYSICAL REVIEW LETTERS, 1992, 68 (26) :3826-3829
[2]   MELLIN TRANSFORMS ASSOCIATED WITH JULIA SETS AND PHYSICAL APPLICATIONS [J].
BESSIS, D ;
GERONIMO, JS ;
MOUSSA, P .
JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (1-2) :75-110
[3]  
COMBES JM, 1992, CPT92P2782 PREPR
[4]   METAMORPHOSIS OF A CANTOR SPECTRUM DUE TO CLASSICAL CHAOS [J].
GEISEL, T ;
KETZMERICK, R ;
PETSCHEL, G .
PHYSICAL REVIEW LETTERS, 1991, 67 (26) :3635-3638
[5]   NEW CLASS OF LEVEL STATISTICS IN QUANTUM-SYSTEMS WITH UNBOUNDED DIFFUSION [J].
GEISEL, T ;
KETZMERICK, R ;
PETSCHEL, G .
PHYSICAL REVIEW LETTERS, 1991, 66 (13) :1651-1654
[6]   SPECTRAL PROPERTIES OF QUANTUM DIFFUSION ON DISCRETE LATTICES [J].
GUARNERI, I .
EUROPHYSICS LETTERS, 1989, 10 (02) :95-100
[7]  
GUARNERI I, UNPUB
[8]   ELECTRONIC SPECTRAL AND WAVE-FUNCTION PROPERTIES OF ONE-DIMENSIONAL QUASI-PERIODIC SYSTEMS - A SCALING APPROACH [J].
HIRAMOTO, H ;
KOHMOTO, M .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1992, 6 (3-4) :281-320
[9]   SLOW DECAY OF TEMPORAL CORRELATIONS IN QUANTUM-SYSTEMS WITH CANTOR SPECTRA [J].
KETZMERICK, R ;
PETSCHEL, G ;
GEISEL, T .
PHYSICAL REVIEW LETTERS, 1992, 69 (05) :695-698
[10]   METAL-INSULATOR-TRANSITION AND SCALING FOR INCOMMENSURATE SYSTEMS [J].
KOHMOTO, M .
PHYSICAL REVIEW LETTERS, 1983, 51 (13) :1198-1201