EIGENVALUE STATISTICS OF DISTORTED RANDOM MATRICES

被引：23

作者：

CHEON, T ^{[1
]}

机构：

[1] HOSEI UNIV,DEPT PHYS,CHIYODA KU,TOKYO 142,JAPAN

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.65.529

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A numerical study of a set of random matrices which interpolate Poisson and Gaussian orthogonal ensembles is reported. The result indicates that the transition from Poisson to Wigner distributions for the nearest-level spacing does not depend on the details of the random-matrix parametrization and is essentially governed by a single parameter. Brodys one-parameter interpolation formula is found to describe the transition rather well. © 1990 The American Physical Society.

引用

收藏

页码：529 / 532

页数：4

相关论文

共 15 条

[1]

[Anonymous], 1967, RANDOM MATRICES

[2] LEVEL CLUSTERING IN REGULAR SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394

[3] QUANTIZING A CLASSICALLY ERGODIC SYSTEM - SINAI BILLIARD AND THE KKR METHOD [J].

BERRY, MV .

ANNALS OF PHYSICS, 1981, 131 (01) :163-216

[4] CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].

BOHIGAS, O ;

GIANNONI, MJ ;

SCHMIT, C .

PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4

[5] STATISTICAL MEASURE FOR REPULSION OF ENERGY-LEVELS [J].

BRODY, TA .

LETTERE AL NUOVO CIMENTO, 1973, 7 (12) :482-484

[6] ENERGY-LEVEL STATISTICS OF INTEGRABLE QUANTUM-SYSTEMS [J].

CASATI, G ;

CHIRIKOV, BV ;

GUARNERI, I .

PHYSICAL REVIEW LETTERS, 1985, 54 (13) :1350-1353

[7] SCALING BEHAVIOR OF LOCALIZATION IN QUANTUM CHAOS [J].

CASATI, G ;

GUARNERI, I ;

IZRAILEV, F ;

SCHARF, R .

PHYSICAL REVIEW LETTERS, 1990, 64 (01) :5-8

[8] QUANTUM LEVEL STATISTICS OF PSEUDOINTEGRABLE BILLIARDS [J].

CHEON, T ;

COHEN, TD .

PHYSICAL REVIEW LETTERS, 1989, 62 (24) :2769-2772

[9] UNCOVERING THE TRANSITION FROM REGULARITY TO IRREGULARITY IN A QUANTUM SYSTEM [J].

HALLER, E ;

KOPPEL, H ;

CEDERBAUM, LS .

PHYSICAL REVIEW LETTERS, 1984, 52 (19) :1665-1668

[10] TRANSITION FROM REGULAR TO IRREGULAR SPECTRA IN QUANTUM BILLIARDS [J].

ISHIKAWA, T ;

YUKAWA, T .

PHYSICAL REVIEW LETTERS, 1985, 54 (15) :1617-1619