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

机译:在佩雷斯的陈述中,“相反的力矩导致相反的方向”,衰减系统和光学成像

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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的陈述仅在远距离或长时间限制下有效。在短距离或短时间限制内,由于光源位置的不确定性,会发生与完美对准的额外偏差。这种错误贡献在Popper的原始实验建议中起着重要作用。佩雷斯的陈述适用于光学成像现象,他认为这是对他陈述的验证。这是因为可以从某种意义上说该实验发生在较大的距离限制内。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。另外,由于玻姆尼轨迹与皮特曼等人绘制的概念轨迹一致,因此使用玻姆力学将被证明特别有用。通过这种方式,玻姆力学为这些概念轨迹提供了理论基础。

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