论文标题
波数据包的传播和经典轨迹的物质化
Wave packet propagation and the materialization of classical trajectories
论文作者
论文摘要
向宏观空间和时间坐标传播的未结合的波数据包与早期的（傅立叶变换）动量分布成正比，从而通过适当的经典轨迹连接渐近坐标和初始矩形。该渐近成像定理与涉及宏观提取和从微观体积出现的片段检测的每个量子反应有关。它证明了用于设计粒子探测器设计的经典粒子运动的通常假设。我们以一个维度在一个维度中的自由传播的示例来说明这种量子到半经典的跃迁，这是在量子力学的入门讲座中处理的标准问题。我们指出适用于更高级讨论的概括。
Unbound wave packets propagating to macroscopic space and time coordinates become proportional to their (Fourier transform) momentum distribution at earlier times whereby the asymptotic coordinates and the initial momenta are connected everywhere by appropriate classical trajectories. This asymptotic imaging theorem is relevant to every quantum reaction involving macroscopic extraction and detection of fragments emerging from a microscopic volume. It justifies the usual assumption of classical particle motion used in the design of particle detectors. We illustrate this quantum to semiclassical transition with the example of the free propagation of a wave packet in one dimension, a standard problem treated in introductory lectures on quantum mechanics. We indicate generalizations appropriate for more advanced discussions.
