dorsal/arxiv
View SchemaPosition Measurement for a Relativistic Particle: Restricted-Path-Integral Analysis
| Authors | Michael B. Mensky, Horst von Borzeszkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007091 |
| URL | https://arxiv.org/abs/quant-ph/0007091 |
| DOI | 10.1016/0375-9601(95)00816-4 |
| Journal | Phys.Lett. A208 (1995) 269-275 |
Abstract
Measurements of the position of a relativistic particle is considered in the framework of the Restricted-Path-Integral (RPI) approach. The amplitude describing such a measurement is shown to be exponentially small outside the light cone of the space-time point corresponding to the measurement output, in a qualitative agreement with the Hellwig and Kraus' postulate of relativistic state reduction. Theory of the measurement including the probability distribution for different measurement outputs is suggested. It is shown that correct theory does not exist (for arbitrary initial states) if the error of the measurement is less than the Compton length. The physical reason is that the picture of measurement is destroyed in this case by pair creation.
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"abstract": "Measurements of the position of a relativistic particle is considered in the\nframework of the Restricted-Path-Integral (RPI) approach. The amplitude\ndescribing such a measurement is shown to be exponentially small outside the\nlight cone of the space-time point corresponding to the measurement output, in\na qualitative agreement with the Hellwig and Kraus\u0027 postulate of relativistic\nstate reduction. Theory of the measurement including the probability\ndistribution for different measurement outputs is suggested. It is shown that\ncorrect theory does not exist (for arbitrary initial states) if the error of\nthe measurement is less than the Compton length. The physical reason is that\nthe picture of measurement is destroyed in this case by pair creation.",
"arxiv_id": "quant-ph/0007091",
"authors": [
"Michael B. Mensky",
"Horst von Borzeszkowski"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1016/0375-9601(95)00816-4",
"journal_ref": "Phys.Lett. A208 (1995) 269-275",
"title": "Position Measurement for a Relativistic Particle: Restricted-Path-Integral Analysis",
"url": "https://arxiv.org/abs/quant-ph/0007091"
},
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