标题： 波包回波对于非简并能级的量子系统 显示英文标题

标题： Wave-Packet Revivals for Quantum Systems with Nondegenerate Energies

摘要： 波包的复兴结构对于能量依赖于两个非简并量子数的量子系统进行了研究。 对于此类系统，波包的演化由两个经典周期和三个复兴时间控制。 这些波包在初始运动中表现出量子拍，在长期运动中表现出新型的复兴。 讨论了分数复兴是否可以形成的问题。 我们提供了一个解析证明，表明在某些时间等于复兴时间的有理分数时，波包可以重新形成为子波的总和，并且可以发生常规的和新型的分数复兴。 显示英文摘要

摘要： The revival structure of wave packets is examined for quantum systems having energies that depend on two nondegenerate quantum numbers. For such systems, the evolution of the wave packet is controlled by two classical periods and three revival times. These wave packets exhibit quantum beats in the initial motion as well as new types of long-term revivals. The issue of whether fractional revivals can form is addressed. We present an analytical proof showing that at certain times equal to rational fractions of the revival times the wave packet can reform as a sum of subsidiary waves and that both conventional and new types of fractional revivals can occur.