dorsal/arxiv
View SchemaQuantum Equilibrium and the Role of Operators as Observables in Quantum Theory
| Authors | Detlef Dürr, Sheldon Goldstein, Nino Zangh\`ı |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308038 |
| URL | https://arxiv.org/abs/quant-ph/0308038 |
| DOI | 10.1023/B:JOSS.0000037234.80916.d0 |
Abstract
Bohmian mechnaics is the most naively obvious embedding imaginable of Schr\"odingers's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function $\psi$ its configuration is typically random, with probability density $\rho$ given by $|\psi|^2$, the quantum equilibrium distribution. It also turns out that the entire quantum formalism, operators as observables and all the rest, naturally emerges in Bohmian mechanics from the analysis of ``measurements.'' This analysis reveals the status of operators as observables in the description of quantum phenomena, and facilitates a clear view of the range of applicability of the usual quantum mechanical formulas.
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"abstract": "Bohmian mechnaics is the most naively obvious embedding imaginable of\nSchr\\\"odingers\u0027s equation into a completely coherent physical theory. It\ndescribes a world in which particles move in a highly non-Newtonian sort of\nway, one which may at first appear to have little to do with the spectrum of\npredictions of quantum mechanics. It turns out, however, that as a consequence\nof the defining dynamical equations of Bohmian mechanics, when a system has\nwave function $\\psi$ its configuration is typically random, with probability\ndensity $\\rho$ given by $|\\psi|^2$, the quantum equilibrium distribution. It\nalso turns out that the entire quantum formalism, operators as observables and\nall the rest, naturally emerges in Bohmian mechanics from the analysis of\n``measurements.\u0027\u0027 This analysis reveals the status of operators as observables\nin the description of quantum phenomena, and facilitates a clear view of the\nrange of applicability of the usual quantum mechanical formulas.",
"arxiv_id": "quant-ph/0308038",
"authors": [
"Detlef D\u00fcrr",
"Sheldon Goldstein",
"Nino Zangh\\`\u0131"
],
"categories": [
"quant-ph"
],
"doi": "10.1023/B:JOSS.0000037234.80916.d0",
"title": "Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/0308038"
},
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