Orderly spectra from random interactions

被引:180
作者
Johnson, CW [1 ]
Bertsch, GF
Dean, DJ
机构
[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA
[2] Univ Washington, Dept Phys, Seattle, WA 98195 USA
[3] Oak Ridge Natl Lab, Div Phys, Oak Ridge, TN 37831 USA
[4] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA
关键词
D O I
10.1103/PhysRevLett.80.2749
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation. Surprisingly we find patterns reminiscent of more orderly interactions, such as a predominance of J = 0 ground states separated by a gap from the excited states, and evidence of phonon vibrations in the low-lying spectra.
引用
收藏
页码:2749 / 2753
页数:5
相关论文
共 10 条
[1]  
Bertsch G. F., 1972, The Practitioner's Shell Model
[2]   TRANSITION BETWEEN RANDOM AND COLLECTIVE BEHAVIOR IN SPECTRA GENERATED BY 2-BODY FORCES [J].
CORTES, A ;
HAQ, RU ;
ZUKER, AP .
PHYSICS LETTERS B, 1982, 115 (01) :1-6
[3]   EIGENVALUE SPECTRUM OF A LARGE SYMMETRIC RANDOM MATRIX [J].
EDWARDS, SF ;
JONES, RC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (10) :1595-1603
[4]   VALIDITY OF RANDOM MATRIX THEORIES FOR MANY-PARTICLE SYSTEMS [J].
FRENCH, JB ;
WONG, SSM .
PHYSICS LETTERS B, 1970, B 33 (07) :449-&
[5]   DYNAMIC SYMMETRIES AND SUPERSYMMETRIES IN NUCLEAR-PHYSICS [J].
IACHELLO, F .
REVIEWS OF MODERN PHYSICS, 1993, 65 (02) :569-576
[6]  
Mehta M. L., 1991, Random Matrices, V2nd
[7]   STATISTICAL PROPERTIES OF MANY-PARTICLE SPECTRA [J].
MON, KK ;
FRENCH, JB .
ANNALS OF PHYSICS, 1975, 95 (01) :90-111
[8]   ON THE DISTRIBUTION OF THE ROOTS OF CERTAIN SYMMETRIC MATRICES [J].
WIGNER, EP .
ANNALS OF MATHEMATICS, 1958, 67 (02) :325-327
[9]  
Wildenthal B. H., 1984, Progress in Particle and Nuclear Physics, V11, P5, DOI 10.1016/0146-6410(84)90011-5
[10]   LEVEL-DENSITY FLUCTUATIONS AND 2-BODY VERSUS MULTI-BODY INTERACTIONS [J].
WONG, SSM ;
FRENCH, JB .
NUCLEAR PHYSICS A, 1972, A198 (01) :188-&