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接有导管的开口运动场台球系统
引用本文:傅怀梁,戴俊,陈贺胜.接有导管的开口运动场台球系统[J].扬州大学学报(自然科学版),2005,8(1):23-27.
作者姓名:傅怀梁  戴俊  陈贺胜
作者单位:1. 扬州大学,物理科学与技术学院,江苏,扬州,225002
2. 扬州大学,物理科学与技术学院,江苏,扬州,225002;中山大学,物理系,广州,510275
基金项目:江苏省教育厅自然科学基金资助项目(R0209089)
摘    要:对于一类接有导管的二维台球系统,利用DEM(decompositionmethod)数值方法计算其本征值和本征态,并探讨其能谱近程关联行为.通过对系统本征态、本征能量谱、不稳定周期轨道疤痕等本征行为的研究,对该系统的一部分定态行为有了一定的了解,随着运动场直线段部分的增加,系统的最近邻能级间隔分布从规则Possion谱向GUE混沌谱转变,这将有助于更深入地研究这类系统的微观动力学行为.

关 键 词:台球系统  本征能量谱  本征态
文章编号:1007-824X(2005)01-0023-05

A 2-D opened stadium model with two straight leads
FU Huai-liang,DAI Jun,CHEN He-Sheng.A 2-D opened stadium model with two straight leads[J].Journal of Yangzhou University(Natural Science Edition),2005,8(1):23-27.
Authors:FU Huai-liang  DAI Jun  CHEN He-Sheng
Institution:FU Huai-liang~1,DAI Jun~1,CHEN He-sheng~
Abstract:A 2-D opened stadium model with two straight leads is studied in this paper. The eigenvalues and eigenwave functions are calculated numerically and the statistics of eigenenergy spectrum studied in different parameters. Some characters of the stationary state are revealed by the research of eigenstates, eigenenergy spectrum and scars of the unstable periodic orbits. With the increasing of straight part of the stadium billiard, the distribution of the nearest level spacings of the system transits from possion to gue. This study will be helpful to understand all the dynamical characters of this kind of systems.
Keywords:stadium billiards  eigenenergy spectrum  eigenstate
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