dorsal/arxiv
View SchemaDarboux's Theorem and Quantisation
| Authors | J. M. Isidro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112032 |
| URL | https://arxiv.org/abs/quant-ph/0112032 |
Abstract
It has been established that endowing classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In this letter we argue that, while sufficient, the above condition is certainly not necessary in passing from classical to quantum mechanics. Instead, our approach to quantum mechanics is modelled on a statement that closely resembles Darboux's theorem for symplectic manifolds.
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"abstract": "It has been established that endowing classical phase space with a Riemannian\nmetric is sufficient for describing quantum mechanics. In this letter we argue\nthat, while sufficient, the above condition is certainly not necessary in\npassing from classical to quantum mechanics. Instead, our approach to quantum\nmechanics is modelled on a statement that closely resembles Darboux\u0027s theorem\nfor symplectic manifolds.",
"arxiv_id": "quant-ph/0112032",
"authors": [
"J. M. Isidro"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
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],
"title": "Darboux\u0027s Theorem and Quantisation",
"url": "https://arxiv.org/abs/quant-ph/0112032"
},
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