LEVEL SPACING FOR BAND RANDOM MATRICES

被引：10
|
作者：
GRAMMATICOS, B
RAMANI, A
CAURIER, E
机构：
[1] ECOLE POLYTECH,CPT,F-91128 PALAISEAU,FRANCE
[2] UNIV STRASBOURG 1,PHYS NUCL THEOR GRP,F-67070 STRASBOURG,FRANCE
[3] CTR RECH NUCL,F-67027 STRASBOURG,FRANCE
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 24期
关键词：
D O I：
10.1088/0305-4470/23/24/025
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We examine the spacing distribution of the eigenvalues of tridiagonal real symmetric random matrices, the elements of which are distributed according to a Gaussian law. We show explicitly that for 4 x 4 matrices the distribution at small spacings behaves as s log2 s. We surmise that for N x N matrices the behaviour is s log(N-2) s and we present numerical results which support this conjecture.
引用
收藏
页码：5855 / 5862
页数：8
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