dorsal/arxiv
View SchemaQuantum Mechanics as a Classical Theory IX: The Formation of Operators and Quantum Phase-Space Densities
| Authors | L. S. F. Olavo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511039 |
| URL | https://arxiv.org/abs/quant-ph/9511039 |
Abstract
In our previous papers we were interested in making a reconstruction of quantum mechanics according to classical mechanics. In this paper we suspend this program for a while and turn our attention to a theme in the frontier of quantum mechanics itself---that is, the formation of operators. We then investigate all the subtleties involved in forming operators from their classical counterparts. We show, using the formalism of quantum phase-space distributions, that our formation method, which is equivalent to Weyl's rule, gives the correct answer. Since this method implies that eigenstates are not dispersion-free we argue for modifications in the orthodox view. Many properties of the quantum phase-space distributions are also investigated and discussed in the realm of our classical approach. We then strengthen the conclusions of our previous papers that quantum mechanics is merely an extremely good approximation of classical statistical mechanics performed upon the configuration space.
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"abstract": "In our previous papers we were interested in making a reconstruction of\nquantum mechanics according to classical mechanics. In this paper we suspend\nthis program for a while and turn our attention to a theme in the frontier of\nquantum mechanics itself---that is, the formation of operators. We then\ninvestigate all the subtleties involved in forming operators from their\nclassical counterparts. We show, using the formalism of quantum phase-space\ndistributions, that our formation method, which is equivalent to Weyl\u0027s rule,\ngives the correct answer. Since this method implies that eigenstates are not\ndispersion-free we argue for modifications in the orthodox view. Many\nproperties of the quantum phase-space distributions are also investigated and\ndiscussed in the realm of our classical approach. We then strengthen the\nconclusions of our previous papers that quantum mechanics is merely an\nextremely good approximation of classical statistical mechanics performed upon\nthe configuration space.",
"arxiv_id": "quant-ph/9511039",
"authors": [
"L. S. F. Olavo"
],
"categories": [
"quant-ph"
],
"title": "Quantum Mechanics as a Classical Theory IX: The Formation of Operators and Quantum Phase-Space Densities",
"url": "https://arxiv.org/abs/quant-ph/9511039"
},
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