INFORMATION ENTROPY, CHAOS AND COMPLEXITY OF THE SHELL-MODEL EIGENVECTORS

被引:77
作者
ZELEVINSKY, V
HOROI, M
BROWN, BA
机构
[1] MICHIGAN STATE UNIV,DEPT PHYS & ASTRON,E LANSING,MI 48824
[2] BUDKER NUCL PHYS INST,NOVOSIBIRSK 630090,RUSSIA
[3] INST ATOM PHYS,BUCHAREST,ROMANIA
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(95)00324-E
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The energies and wave functions of stationary many-body states are analyzed to look for the signatures of quantum chaos. Realistic shell model calculations are performed in the JT-scheme for 12 particles in the sd-shell. Local level statistics are in perfect agreement with the GOE predictions whereas the eigenvectors show evidence for non-complete energy dependent chaoticity. The information entropy of individual eigenvectors turns out to be a convenient measure of degree of complexity of individual wave functions, We discuss the representation dependence and the sensitivity to the interaction strength. The exceptional role of the mean field basis is stressed.
引用
收藏
页码:141 / 146
页数:6
相关论文
共 29 条
[1]  
BERRY MV, 1991, HOUCHES 52 CHAOS QUA
[2]  
BOHIGAS O, 1988, ANNU REV NUCL PART S, V38, P421
[3]   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
[4]   GAUSSIAN DISTRIBUTIONS OF SHELL-MODEL EIGENVECTOR COMPONENTS [J].
BROWN, BA ;
BERTSCH, G .
PHYSICS LETTERS B, 1984, 148 (1-3) :5-7
[5]  
BROWN BA, 1988, ANNU REV NUCL PART S, V38, P29
[6]  
BROWN BA, 1988, MSUNSCL524 OXBASH CO
[7]   ENERGY-DEPENDENCE OF EXPECTATION VALUES IN MANY-PARTICLE SPECTROSCOPY [J].
CHANG, FS ;
FRENCH, JB .
PHYSICS LETTERS B, 1973, B 44 (02) :131-134
[8]   STRENGTH DISTRIBUTIONS AND STATISTICAL SPECTROSCOPY .2. SHELL-MODEL COMPARISONS [J].
DRAAYER, JP ;
FRENCH, JB ;
WONG, SSM .
ANNALS OF PHYSICS, 1977, 106 (02) :503-524
[9]   STRENGTH DISTRIBUTIONS AND STATISTICAL SPECTROSCOPY .1. GENERAL THEORY [J].
DRAAYER, JP ;
FRENCH, JB ;
WONG, SSM .
ANNALS OF PHYSICS, 1977, 106 (02) :472-502
[10]   MODELING COMPLEX NUCLEAR-SPECTRA - REGULARITY VERSUS CHAOS [J].
DROZDZ, S ;
NISHIZAKI, S ;
SPETH, J ;
WAMBACH, J .
PHYSICAL REVIEW C, 1994, 49 (02) :867-870