一维尺度可变的纳米微结构体系的经典——量子对应  

Classical-quantum Correspondence in the Scale-variable System of One Dimensional Nano-microstructure

作　　者：母小云[1] 陆军[1] 

机构地区：[1]北京联合大学基础部,北京100101

出　　处：《科技通报》2013年第2期1-3,共3页Bulletin of Science and Technology

摘　　要：用体系的本征值和本征波函数定义一种新的量子谱函数,并以一维尺度可变的纳米微结构体系中的粒子为例,定量地计算出所定义的量子谱函数。研究结果表明,量子谱函数的Fourier变换的模的平方与经典作用量之间具有对应关系。本研究结果为探讨纳米微结构体系中的经典物理与量子物理的对应提供了新的依据。A new quantum spectrum function is defined using the energy eigenvalues and eigenfunctions of a one-dimensional nana-microstructure system which the scale is variable.As an example of the calculation of quantum spectrum function,we consider the one-dimensional motion of a billiard in the system which the scale is variable.It is found that the Fourier transform of the quantum spectrum function corresponds with the classical orbits in the system.These results give new evidence about the classical-quantum correspondence in the system of nana-microstructure.

关 键 词：量子谱 经典-量子对应 纳米微结构 

分 类 号：O413[理学—理论物理]