dorsal/arxiv
View SchemaOn Peres' statement "opposite momenta lead to opposite directions", decaying systems and optical imaging
| Authors | W. Struyve, W. De Baere, J. De Neve, S. De Weirdt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401095 |
| URL | https://arxiv.org/abs/quant-ph/0401095 |
| DOI | 10.1023/B:FOOP.0000034224.37659.96 |
| Journal | Found. Phys. 34, 963-985 (2004) |
Abstract
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.
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"abstract": "We re-examine Peres\u0027 statement ``opposite momenta lead to opposite\ndirections\u0027\u0027. It will be shown that Peres\u0027 statement is only valid in the large\ndistance or large time limit. In the short distance or short time limit an\nadditional deviation from perfect alignment occurs due to the uncertainty of\nthe location of the source. This error contribution plays a major role in\nPopper\u0027s orginal experimental proposal. Peres\u0027 statement applies rather to the\nphenomenon of optical imaging, which was regarded by him as a verification of\nhis statement. This is because this experiment can in a certain sense be seen\nas occurring in the large distance limit. We will also reconsider both\nexperiments from the viewpoint of Bohmian mechanics. In Bohmian mechanics\nparticles with exactly opposite momenta will move in opposite directions. In\naddition it will prove particularly usefull to use Bohmian mechanics because\nthe Bohmian trajectories coincide with the conceptual trajectories drawn by\nPittman et al. In this way Bohmian mechanics provides a theoretical basis for\nthese conceptual trajectories.",
"arxiv_id": "quant-ph/0401095",
"authors": [
"W. Struyve",
"W. De Baere",
"J. De Neve",
"S. De Weirdt"
],
"categories": [
"quant-ph"
],
"doi": "10.1023/B:FOOP.0000034224.37659.96",
"journal_ref": "Found. Phys. 34, 963-985 (2004)",
"title": "On Peres\u0027 statement \"opposite momenta lead to opposite directions\", decaying systems and optical imaging",
"url": "https://arxiv.org/abs/quant-ph/0401095"
},
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