论文标题
量子机械散射的角度延迟
Angular time delay in quantum mechanical scattering
论文作者
论文摘要
我们应用Brunetti和Fredenhagen的[Phys。 Rev. A 66（2002）044101]量子力学中事件发生的时间的概念是散射球形电位的示例。因此，我们重新激发了Froissart，Goldberger和Watson的表达[Phys。 Rev. 131（1963）2820]对于角度延迟，阐明了它们的推导一些概念问题。我们还提出了同一作者在量子机械上下文中定义的“空间移动”（本质上是影响参数）的基本重新启动。在WKB近似的背景下，我们阐明了这两个量与它们的经典对应物的关系。例如，我们将这些概念应用于散射硬球。我们发现，对于短波长散射的时间延迟和最小强度的最小值的空间变化，我们都发现了峰值，并讨论了这些原理是否可以观察到。
We apply Brunetti and Fredenhagen's [Phys. Rev. A 66 (2002) 044101] concept of the time of occurrence of an event in quantum mechanics to the example of scattering off a spherical potential. Thereby, we re-derive the expression of Froissart, Goldberger, and Watson [Phys. Rev. 131 (1963) 2820] for the angular time delay, clarifying some conceptual issues with their derivation. We also present an elementary re-derivation of the "space shift" (essentially the impact parameter) defined in the quantum mechanical context by the same authors. We clarify the relation of both quantities to their classical counterparts in the context of the WKB approximation. As an example, we apply the concepts to scattering at a hard sphere. We find pronounced peaks in the both the time delay and the space shift at the minima of intensity in the forward diffraction region for short wavelength scattering and discuss whether these could in principle be observable.
