dorsal/arxiv
View SchemaA New Quantization Map
| Authors | D. Mauro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305063 |
| URL | https://arxiv.org/abs/quant-ph/0305063 |
| DOI | 10.1016/S0375-9601(03)00996-4 |
| Journal | Phys.Lett. A315 (2003) 28-35 |
Abstract
In this paper we find a simple rule to reproduce the algebra of quantum observables using only the commutators and operators which appear in the Koopman-von Neumann (KvN) formulation of classical mechanics. The usual Hilbert space of quantum mechanics becomes embedded in the KvN Hilbert space: in particular it turns out to be the subspace on which the quantum positions Q and momenta P act irreducibly.
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"abstract": "In this paper we find a simple rule to reproduce the algebra of quantum\nobservables using only the commutators and operators which appear in the\nKoopman-von Neumann (KvN) formulation of classical mechanics. The usual Hilbert\nspace of quantum mechanics becomes embedded in the KvN Hilbert space: in\nparticular it turns out to be the subspace on which the quantum positions Q and\nmomenta P act irreducibly.",
"arxiv_id": "quant-ph/0305063",
"authors": [
"D. Mauro"
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"doi": "10.1016/S0375-9601(03)00996-4",
"journal_ref": "Phys.Lett. A315 (2003) 28-35",
"title": "A New Quantization Map",
"url": "https://arxiv.org/abs/quant-ph/0305063"
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