【摘要】 本文用一维纳米微结构体系的本征值和本征波函数定义一种新的量子谱函数,并以粒子在一维纳米微结构体系中的闭合轨道运动为例,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傅立叶变换模的平方与粒子的闭合轨道的经典作用量之间具有对应的关系。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。更多还原

【Abstract】 A new quantum spectrum function is defined using the energy eigenvalues and eigenfunctions of a one-dimensional nana-microstructure system.As an example of the calculation of quantum spectrum function,the one-dimensional closed orbits motion of a billiard was considered.It is found that the Fourier transform of the quantum spectrum function corresponds with the classical closed-orbits in the system.These results give new evidence about the classical-quantum correspondence in the system of one-dimensional nana-microstructure.更多还原