关于佩雷斯的声明“相反的动量导致相反的方向”，衰减系统和光学成像
On Peres' statement "opposite momenta lead to opposite directions", decaying systems and optical imaging
摘要：
我们重新审视佩雷斯的声明“相反的动量导致相反的方向”。这将表明，佩雷斯的声明是有效的，只有在大的距离或大的时间限制。在短距离或短时间限制中，由于源位置的不确定性，会发生与完美对准的额外偏差。这种误差贡献在波普尔最初的实验方案中起着重要作用。佩雷斯的说法适用于光学成像现象，他认为这是对他的说法的验证。这是因为这个实验在某种意义上可以被看作是发生在大距离限制。我们还将从玻姆力学的观点重新考虑这两个实验。在玻姆力学中，动量正好相反的粒子会向相反的方向运动。此外，它将被证明是特别有用的使用Bohmian力学，因为Bohmian轨迹与Pittman等人绘制的概念轨迹相吻合。
英文摘要：
We re-examine Peres' statement ``opposite momenta lead to opposite directions''. It will be shown that Peres' statement is only valid in the large distance or large time limit. In the short distance or short time limit an additional deviation from perfect alignment occurs due to the uncertainty of the location of the source. This error contribution plays a major role in Popper's orginal experimental proposal. Peres' statement applies rather to the phenomenon of optical imaging, which was regarded by him as a verification of his statement. This is because this experiment can in a certain sense be seen as occurring in the large distance limit. We will also reconsider both experiments from the viewpoint of Bohmian mechanics. In Bohmian mechanics particles with exactly opposite momenta will move in opposite directions. In addition it will prove particularly usefull to use Bohmian mechanics because the Bohmian trajectories coincide with the conceptual trajectories drawn by Pittman et al. In this way Bohmian mechanics provides a theoretical basis for these conceptual trajectories.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
