dorsal/arxiv
View SchemaThe wave function as a mathematical description of a free particle's possible motion: The 2-slit problem with attempted detection
| Authors | Thomas O'Malley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310008 |
| URL | https://arxiv.org/abs/quant-ph/0310008 |
Abstract
Starting with a down to earth interpretation of quantum mechanics for a free particle, the disappearance and reappearance of interference in the 2 slit problem with a detector behind one are treated in detail. A partial interpretation of quantum theory is employed which is simple, emphasizing description, yet adequate for addressing the present problem. Given that the eigenvalue equation is essential to predict a free particle's probability of collision, it is argued that there is equal need for a realistic theory to describe its possible motion. Feynman's point-to-point space-time wave packet is put forth and used as the appropriate description of the field-free motion between collisions. For a particle in a conventional 2-slit experiment with attempted detection behind one, the disappearance of interference is explained - both when the detection succeeds and when it doesn't. Also a definite prediction is made, when the inter-slit distance is reduced, of where the first signs of interference should appear on the detection screen.
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"abstract": "Starting with a down to earth interpretation of quantum mechanics for a free\nparticle, the disappearance and reappearance of interference in the 2 slit\nproblem with a detector behind one are treated in detail. A partial\ninterpretation of quantum theory is employed which is simple, emphasizing\ndescription, yet adequate for addressing the present problem.\n Given that the eigenvalue equation is essential to predict a free particle\u0027s\nprobability of collision, it is argued that there is equal need for a realistic\ntheory to describe its possible motion. Feynman\u0027s point-to-point space-time\nwave packet is put forth and used as the appropriate description of the\nfield-free motion between collisions.\n For a particle in a conventional 2-slit experiment with attempted detection\nbehind one, the disappearance of interference is explained - both when the\ndetection succeeds and when it doesn\u0027t. Also a definite prediction is made,\nwhen the inter-slit distance is reduced, of where the first signs of\ninterference should appear on the detection screen.",
"arxiv_id": "quant-ph/0310008",
"authors": [
"Thomas O\u0027Malley"
],
"categories": [
"quant-ph"
],
"title": "The wave function as a mathematical description of a free particle\u0027s possible motion: The 2-slit problem with attempted detection",
"url": "https://arxiv.org/abs/quant-ph/0310008"
},
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