波包干涉的流体力学观点：量子洞穴
Hydrodynamic View of Wave-Packet Interference: Quantum Caves
摘要：
利用复量子哈密顿-雅可比形式，采用流体力学描述，研究了波包干涉。量子干涉导致时空Argand图中量子洞穴拓扑结构的形成。这些空洞由源自波函数及其一阶导数的振幅等值面的涡管和滞止管组成。复杂的量子轨道显示逆时针螺旋缠绕在停滞管和双曲线偏转附近的涡旋管。一串交替的停滞和涡流管足以产生发散的轨道。此外，轨迹的平均缠绕时间和在复平面中的节线的旋转速率可以用于定义干涉特征的寿命。
英文摘要：
Wave-packet interference is investigated within the complex quantum Hamilton-Jacobi formalism using a hydrodynamic description. Quantum interference leads to the formation of the topological structure of quantum caves in space-time Argand plots. These caves consist of the vortical and stagnation tubes originating from the isosurfaces of the amplitude of the wave function and its first derivative. Complex quantum trajectories display counterclockwise helical wrapping around the stagnation tubes and hyperbolic deflection near the vortical tubes. The string of alternating stagnation and vortical tubes is sufficient to generate divergent trajectories. Moreover, the average wrapping time for trajectories and the rotational rate of the nodal line in the complex plane can be used to define the lifetime for interference features.
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