【摘要】 应用自由粒子在二维正三角形无限深势阱(弹子球体系)中运动的本征值和本征函数,计算了傅立叶变换的量子谱.傅立叶变换后的量子谱包含丰富的经典信息,例如,经典轨道的信息.把傅立叶变换后的量子谱中峰的位置与其所对应的经典体系的轨道长度作对照,我们发现傅立叶变换的量子谱的峰位和经典轨道的长度之间存在着一一对应关系,体现了体系的量子行为和经典行为的对应性.更多还原

【Abstract】 Based on the energy eigenvalues and eigenstates,we com pu te the Fourier transformed quantum spectra for the problem of a particle moving in two-dimensional equilateral triangular infinite well.The quantum spectra cont ain a lot of classical information,for example,the information of classical or bits.By comparing the classical orbits and the quantum spectra,we find that the one to one corresponding of path lengths and locations of peaks is perfect,which testifies the relationship of the behavior of classical and quantum mechanics.更多还原