中文摘要：

用一维纳米微结构体系的本征值和本征波函数定义量子谱函数。这种量子谱函数的Fourier变换，包含了在该体系中将粒子从一个点输运到另一个点的过程中所经历的经典轨道的许多信息。研究的结果为探讨纳米微结构中的经典物理和量子物理之间的对应关系提供了可靠的依据。

英文摘要：

The quantum spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of one-dimensional nano-microstructure. The Fourier transformation of the quantum spectrum function is found containing a lot of information about the classical orbits of a particle from one point to another. These results provide evidence for the classical-quantum correspondence in the system of nano-microstructure.