dorsal/arxiv
View SchemaQuantum dynamics with two Planck constants and the semiclassical limit
| Authors | Lajos Diosi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9503023 |
| URL | https://arxiv.org/abs/quant-ph/9503023 |
Abstract
The mathematical possibility of coupling two quantum dynamic systems having two different Planck constants, respectively, is investigated. It turns out that such canonical dynamics are always irreversible. Semiclassical dynamics is obtained by letting one of the two Planck constants go to zero. This semiclassical dynamics will preserve positivity, as expected, so an improvement of the earlier proposals by Aleksandrov and by Boucher and Traschen is achieved. Coupling of quantized matter to gravity is illustrated by a simplistic example.
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"abstract": "The mathematical possibility of coupling two quantum dynamic systems having\ntwo different Planck constants, respectively, is investigated. It turns out\nthat such canonical dynamics are always irreversible. Semiclassical dynamics is\nobtained by letting one of the two Planck constants go to zero. This\nsemiclassical dynamics will preserve positivity, as expected, so an improvement\nof the earlier proposals by Aleksandrov and by Boucher and Traschen is\nachieved. Coupling of quantized matter to gravity is illustrated by a\nsimplistic example.",
"arxiv_id": "quant-ph/9503023",
"authors": [
"Lajos Diosi"
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"title": "Quantum dynamics with two Planck constants and the semiclassical limit",
"url": "https://arxiv.org/abs/quant-ph/9503023"
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