dorsal/arxiv
View SchemaWeyl ordering rule and new Lie bracket of quantum mechanics
| Authors | Zoran Rakic, Slobodan Prvanovic |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303108 |
| URL | https://arxiv.org/abs/quant-ph/0303108 |
Abstract
The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Poisson bracket is defined being the Lie bracket which substitutes commutator in the von Neumann equation. These result in obstruction free quantization, with the ordering rule which coincides with Weyl ordering rule.
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"abstract": "The product of quantum mechanics is defined as the ordinary multiplication\nfollowed by the application of superoperator that orders involved operators.\nThe operator version of Poisson bracket is defined being the Lie bracket which\nsubstitutes commutator in the von Neumann equation. These result in obstruction\nfree quantization, with the ordering rule which coincides with Weyl ordering\nrule.",
"arxiv_id": "quant-ph/0303108",
"authors": [
"Zoran Rakic",
"Slobodan Prvanovic"
],
"categories": [
"quant-ph"
],
"title": "Weyl ordering rule and new Lie bracket of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0303108"
},
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