在复量子Hamilton-Jacobi形式中焦散性和涡度的相互作用
Interplay of causticity and vorticality within the complex quantum Hamilton-Jacobi formalism
摘要：
干涉动力学分析的光的复量子哈密顿-雅可比形式主义，作为一个工作模型的两个高斯波包的碰撞。虽然很简单，这个模型很好地表明，量子散射过程中的干涉在复平面上产生了丰富的动力学和轨迹拓扑结构，两者都由两种类型的奇点支配：焦散和涡旋，前者与自由波包传播的状态有关，后者与碰撞（干涉）过程有关。此外，一个明确的图片连接复杂和真实的框架也提供和讨论。
英文摘要：
Interference dynamics is analyzed in the light of the complex quantum Hamilton-Jacobi formalism, using as a working model the collision of two Gaussian wave packets. Though simple, this model nicely shows that interference in quantum scattering processes gives rise to rich dynamics and trajectory topologies in the complex plane, both ruled by two types of singularities: caustics and vortices, where the former are associated with the regime of free wave-packet propagation, and the latter with the collision (interference) process. Furthermore, an unambiguous picture connecting the complex and real frameworks is also provided and discussed.
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