接有导管的开口运动场台球系统  

A 2-D opened stadium model with two straight leads

作　　者：傅怀梁[1] 戴俊[1] 陈贺胜[1] 

机构地区：[1]扬州大学物理科学与技术学院,江苏扬州225002

出　　处：《扬州大学学报（自然科学版）》2005年第1期23-27,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：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.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.

关 键 词：台球系统 本征能量谱 本征态 

分 类 号：O322[理学—一般力学与力学基础] O441[理学—力学]