dorsal/arxiv
View SchemaThe quantum theory of measurement within dynamical reduction models
| Authors | A. Bassi, D. G. M. Salvetti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702011 |
| URL | https://arxiv.org/abs/quant-ph/0702011 |
| DOI | 10.1088/1751-8113/40/32/011 |
| Journal | J. Phys. A: Math. Theor. 40, 9859-9876 (2007). |
Abstract
We analyze in mathematical detail, within the framework of the QMUPL model of spontaneous wave function collapse, the von Neumann measurement scheme for the measurement of a 1/2 spin particle. We prove that, according to the equation of the model: i) throughout the whole measurement process, the pointer of the measuring device is always perfectly well localized in space; ii) the probabilities for the possible outcomes are distributed in agreement with the Born probability rule; iii) at the end of the measurement the state of the microscopic system has collapsed to the eigenstate corresponding to the measured eigenvalue. This analysis shows rigorously how dynamical reduction models provide a consistent solution to the measurement problem of quantum mechanics.
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"abstract": "We analyze in mathematical detail, within the framework of the QMUPL model of\nspontaneous wave function collapse, the von Neumann measurement scheme for the\nmeasurement of a 1/2 spin particle. We prove that, according to the equation of\nthe model: i) throughout the whole measurement process, the pointer of the\nmeasuring device is always perfectly well localized in space; ii) the\nprobabilities for the possible outcomes are distributed in agreement with the\nBorn probability rule; iii) at the end of the measurement the state of the\nmicroscopic system has collapsed to the eigenstate corresponding to the\nmeasured eigenvalue. This analysis shows rigorously how dynamical reduction\nmodels provide a consistent solution to the measurement problem of quantum\nmechanics.",
"arxiv_id": "quant-ph/0702011",
"authors": [
"A. Bassi",
"D. G. M. Salvetti"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/32/011",
"journal_ref": "J. Phys. A: Math. Theor. 40, 9859-9876 (2007).",
"title": "The quantum theory of measurement within dynamical reduction models",
"url": "https://arxiv.org/abs/quant-ph/0702011"
},
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