经典对应不一致的量子混沌现象分析  

Analysis on System Without Correspondence Between the Classical and the Quantum

作　　者：史严[1] 袁国勇[1] 杨世平[1] 

机构地区：[1]河北师范大学物理学院,河北石家庄050016

出　　处：《河北师范大学学报（自然科学版）》2004年第4期372-375,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目(102137)

摘　　要：研究了粒子在中间存在势垒的无限深势阱中的量子运动.给出了能级谱统计分析,发现这些经典上可积的模型,在量子上出现了不可积现象,即产生了混沌,出现了经典与量子的不对应.造成这种不对应的原因是量子上所特有的隧穿效应.并且发现,不可积的程度与势垒的形式有关,势垒越复杂,混沌现象越明显.The quantum motion of one particle which is in a one-dimensional infinite well which exists a potential barrier have been studied.From the statistical analysis of energy spectra,the nonintegrable phenomenon is in quantum mechanics,but this model in the classical is integrable.The reason for that is the tunneling in quantum mechanics.The degree of noninteger is related to the form of the potential barrier.The more complex the potential barrier is,the more clearly the chaos is.

关 键 词：量子混沌现象 能谱统计 隧穿 势垒 不可积现象 

分 类 号：O471.1[理学—半导体物理] O415.5[理学—物理]