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On Peres' statement 'opposite momenta lead to opposite directions', decaying systems and optical imaging

机译:在佩雷斯的声明中“相反的方向导致相反的方向”,   衰变系统和光学成像

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摘要

We re-examine Peres' statement ``opposite momenta lead to oppositedirections''. It will be shown that Peres' statement is only valid in the largedistance or large time limit. In the short distance or short time limit anadditional deviation from perfect alignment occurs due to the uncertainty ofthe location of the source. This error contribution plays a major role inPopper's orginal experimental proposal. Peres' statement applies rather to thephenomenon of optical imaging, which was regarded by him as a verification ofhis statement. This is because this experiment can in a certain sense be seenas occurring in the large distance limit. We will also reconsider bothexperiments from the viewpoint of Bohmian mechanics. In Bohmian mechanicsparticles with exactly opposite momenta will move in opposite directions. Inaddition it will prove particularly usefull to use Bohmian mechanics becausethe Bohmian trajectories coincide with the conceptual trajectories drawn byPittman et al. In this way Bohmian mechanics provides a theoretical basis forthese conceptual trajectories.
机译:我们重新审视Peres的陈述``相反的方向导致相反的方向''。将显示Peres的陈述仅在较大距离或较大时限内有效。在短距离或短时间限制内,由于光源位置的不确定性,还会发生与完美对准的其他偏差。该错误贡献在Popper的原始实验建议中起着重要作用。佩雷斯的陈述更适用于光学成像现象,他认为这是对他的陈述的验证。这是因为从某种意义上说,该实验可以看作是在大距离范围内发生的。我们还将从鲍姆力学的角度重新考虑这两个实验。在波姆力学中,具有完全相反的动量的粒子将沿相反的方向移动。此外,由于玻姆尼轨迹与皮特曼(Pittman)等人绘制的概念轨迹相吻合,因此使用玻姆力学将特别有用。通过这种方式,玻姆力学为理论轨迹提供了理论基础。

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