LEVEL REPULSION NEAR INTEGRABILITY - A RANDOM MATRIX ANALOGY

被引：31

作者：

CAURIER, E

GRAMMATICOS, B

RAMANI, A

机构：

[1] UNIV PARIS 07,PHYS NUCL LAB,F-75251 PARIS,FRANCE

[2] ECOLE POLYTECH,CTR PHYS THEOR,F-91128 PALAISEAU,FRANCE

[3] UNIV LOUIS PASTEUR STRASBOURG,PHYS NUCL THEOR GRP,F-67027 STRASBOURG,FRANCE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 21期

关键词：

D O I：

10.1088/0305-4470/23/21/029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the analogy between the statistics of the levels of quantum Hamiltonians and the eigenvalues of random matrices the authors use (an appropriate choice of) the latter in order to study the transition region near integrability. They show that the nearest-neighbour spacing distribution is linear for small spacings while the inverse of its slope is proportional to the amplitude of the (integrability-destroying) perturbation.

引用

页码：4903 / 4909

页数：7

共 26 条

[1]

[Anonymous], 1967, RANDOM MATRICES

[2] SEMICLASSICAL LEVEL SPACINGS WHEN REGULAR AND CHAOTIC ORBITS COEXIST [J].