dorsal/arxiv
View SchemaQuantum mechanics without statistical postulates
| Authors | H. Geiger, G. Obermair, Ch. Helm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905068 |
| URL | https://arxiv.org/abs/quant-ph/9905068 |
Abstract
The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden classical particle is chaotic during almost all nontrivial measurement processes. For the correct reproduction of experimental results, it is further essential that the distribution function $P(x)$ of the results of a position measurement is identical with $|\Psi|^2$ of the wavefunction $\Psi$ of the single system under consideration. It is shown that this feature is not an additional assumption, but can be derived strictly from the chaotic motion of a single system during a sequence of measurements, providing a completely deterministic picture of the statistical features of quantum mechanics.
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"abstract": "The Bohmian formulation of quantum mechanics is used in order to describe the\nmeasurement process in an intuitive way without a reduction postulate in the\nframework of a deterministic single system theory. Thereby the motion of the\nhidden classical particle is chaotic during almost all nontrivial measurement\nprocesses. For the correct reproduction of experimental results, it is further\nessential that the distribution function $P(x)$ of the results of a position\nmeasurement is identical with $|\\Psi|^2$ of the wavefunction $\\Psi$ of the\nsingle system under consideration. It is shown that this feature is not an\nadditional assumption, but can be derived strictly from the chaotic motion of a\nsingle system during a sequence of measurements, providing a completely\ndeterministic picture of the statistical features of quantum mechanics.",
"arxiv_id": "quant-ph/9905068",
"authors": [
"H. Geiger",
"G. Obermair",
"Ch. Helm"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"title": "Quantum mechanics without statistical postulates",
"url": "https://arxiv.org/abs/quant-ph/9905068"
},
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