RANDOM PERTURBATION OF SYSTEMATIC DEGENERACIES AND QUANTUM CHAOS

被引:7
作者
HEISS, WD [1 ]
CHIANG, JCH [1 ]
机构
[1] UNIV WITWATERSRAND, DEPT PHYS, JOHANNESBURG 2001, SOUTH AFRICA
来源
PHYSICAL REVIEW A | 1993年 / 47卷 / 04期
关键词
D O I
10.1103/PhysRevA.47.2533
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The effect of a random perturbation is investigated for a Hamiltonian with systematic degeneracies. It turns out that the influence of the degeneracies remains significant under a perturbation. In,particular, the eigenvectors manifest specific patterns when the perturbation produces all characteristics of quantum chaos for the spectrum.
引用
收藏
页码:2533 / 2538
页数:6
相关论文
共 11 条
[1]  
BOHIGAS O, 1984, LECTURE NOTES PHYSIC, V209
[2]   RANDOM-MATRIX PHYSICS - SPECTRUM AND STRENGTH FLUCTUATIONS [J].
BRODY, TA ;
FLORES, J ;
FRENCH, JB ;
MELLO, PA ;
PANDEY, A ;
WONG, SSM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :385-479
[3]   THE HYDROGEN-ATOM IN A UNIFORM MAGNETIC-FIELD - AN EXAMPLE OF CHAOS [J].
FRIEDRICH, H ;
WINTGEN, D .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1989, 183 (02) :37-79
[4]   QUANTUM CHAOS AND ANALYTIC STRUCTURE OF THE SPECTRUM [J].
HEISS, WD ;
KOTZE, AA .
PHYSICAL REVIEW A, 1991, 44 (04) :2403-2409
[5]   AVOIDED LEVEL-CROSSINGS AND RIEMANN SHEET STRUCTURE [J].
HEISS, WD ;
STEEB, WH .
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (11) :3003-3007
[6]   TRANSITIONAL REGIONS OF FINITE FERMI SYSTEMS AND QUANTUM CHAOS [J].
HEISS, WD ;
SANNINO, AL .
PHYSICAL REVIEW A, 1991, 43 (08) :4159-4166
[7]   AVOIDED LEVEL-CROSSING AND EXCEPTIONAL POINTS [J].
HEISS, WD ;
SANNINO, AL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :1167-1178
[8]  
HEISS WD, UNPUB
[9]  
HELLER EJ, 1986, LECTURE NOTES PHYSIC, V260
[10]   SIMPLE-MODELS OF QUANTUM CHAOS - SPECTRUM AND EIGENFUNCTIONS [J].
IZRAILEV, FM .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 196 (5-6) :299-392