dorsal/arxiv
View SchemaOn the statistics of quantum expectations for systems in thermal equilibrium
| Authors | Giovanni Jona-Lasinio, Carlo Presilla |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603245 |
| URL | https://arxiv.org/abs/quant-ph/0603245 |
| DOI | 10.1063/1.2219363 |
| Journal | AIP Conf.Proc.844:200-205,2006 |
Abstract
The recent remarkable developments in quantum optics, mesoscopic and cold atom physics have given reality to wave functions. It is then interesting to explore the consequences of assuming ensembles over the wave functions simply related to the canonical density matrix. In this note we analyze a previously introduced distribution over wave functions which naturally arises considering the Schroedinger equation as an infinite dimensional dynamical system. In particular, we discuss the low temperature fluctuations of the quantum expectations of coordinates and momenta for a particle in a double well potential. Our results may be of interest in the study of chiral molecules.
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"abstract": "The recent remarkable developments in quantum optics, mesoscopic and cold\natom physics have given reality to wave functions. It is then interesting to\nexplore the consequences of assuming ensembles over the wave functions simply\nrelated to the canonical density matrix. In this note we analyze a previously\nintroduced distribution over wave functions which naturally arises considering\nthe Schroedinger equation as an infinite dimensional dynamical system. In\nparticular, we discuss the low temperature fluctuations of the quantum\nexpectations of coordinates and momenta for a particle in a double well\npotential. Our results may be of interest in the study of chiral molecules.",
"arxiv_id": "quant-ph/0603245",
"authors": [
"Giovanni Jona-Lasinio",
"Carlo Presilla"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th",
"math-ph",
"math.MP",
"physics.chem-ph"
],
"doi": "10.1063/1.2219363",
"journal_ref": "AIP Conf.Proc.844:200-205,2006",
"title": "On the statistics of quantum expectations for systems in thermal equilibrium",
"url": "https://arxiv.org/abs/quant-ph/0603245"
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