dorsal/arxiv
View SchemaInformation dynamics in quantum theory
| Authors | Piotr Garbaczewski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612151 |
| URL | https://arxiv.org/abs/quant-ph/0612151 |
| Journal | Appl. Math. & Information Sciences 1, (2007), 1-12 |
Abstract
Shannon entropy and Fisher information functionals are known to quantify certain information-theoretic properties of continuous probability distributions of various origins. We carry out a systematic study of these functionals, while assuming that the pertinent probability density has a quantum mechanical appearance $\rho \doteq |\psi |^2$, with $\psi \in L^2(R)$. Their behavior in time, due to the quantum Schr\"{o}dinger picture evolution-induced dynamics of $\rho (x,t)$ is investigated as well, with an emphasis on thermodynamical features of quantum motion.
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"abstract": "Shannon entropy and Fisher information functionals are known to quantify\ncertain information-theoretic properties of continuous probability\ndistributions of various origins. We carry out a systematic study of these\nfunctionals, while assuming that the pertinent probability density has a\nquantum mechanical appearance $\\rho \\doteq |\\psi |^2$, with $\\psi \\in L^2(R)$.\nTheir behavior in time, due to the quantum Schr\\\"{o}dinger picture\nevolution-induced dynamics of $\\rho (x,t)$ is investigated as well, with an\nemphasis on thermodynamical features of quantum motion.",
"arxiv_id": "quant-ph/0612151",
"authors": [
"Piotr Garbaczewski"
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"journal_ref": "Appl. Math. \u0026 Information Sciences 1, (2007), 1-12",
"title": "Information dynamics in quantum theory",
"url": "https://arxiv.org/abs/quant-ph/0612151"
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