STATISTICS OF WAVE-FUNCTION SCARS

被引：27

作者：

ANTONSEN, TM

OTT, E

CHEN, Q

OERTER, RN

机构：

[1] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

[2] UNIV MARYLAND,DEPT PHYS,COLLEGE PK,MD 20742

[3] HOWARD UNIV,DEPT PHYS,WASHINGTON,DC 20059

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.51.111

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The properties of "scars" on eigenfunctions (i.e., enhancements along unstable classical periodic orbits) of a two-dimensional, classically chaotic billiard are studied. It is shown that the tendency for a scar to form is controlled by both the stability of the periodic orbit and the statistical fluctuations in the time for wave density to return to the unstable orbit once having left. Both scars and "antiscars" are predicted to occur depending on the nearness of the eigenvalue of the chaotic eigenfunction in question to a value that quantizes the periodic orbit. The theoretical predictions are compared with direct numerical solutions for a bowtie shaped billiard. © 1995 The American Physical Society.

引用

页码：111 / 121

页数：11

共 12 条

[1]

ABRAMOWITZ M, 1964, NBS APPLIED MATH SER, V55

[2] QUANTUM EIGENFUNCTIONS IN TERMS OF PERIODIC-ORBITS OF CHAOTIC SYSTEMS [J].