dorsal/arxiv
View SchemaBayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory
| Authors | J. C. Lemm, J. Uhlig, A. Weiguny |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312191 |
| URL | https://arxiv.org/abs/quant-ph/0312191 |
Abstract
The Feynman path integral representation of quantum theory is used in a non--parametric Bayesian approach to determine quantum potentials from measurements on a canonical ensemble. This representation allows to study explicitly the classical and semiclassical limits and provides a unified description in terms of functional integrals: the Feynman path integral for the statistical operator, and the integration over the space of potentials for calculating the predictive density. The latter is treated in maximum a posteriori approximation, and various approximation schemes for the former are developed and discussed. A simple numerical example shows the applicability of the method.
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"abstract": "The Feynman path integral representation of quantum theory is used in a\nnon--parametric Bayesian approach to determine quantum potentials from\nmeasurements on a canonical ensemble. This representation allows to study\nexplicitly the classical and semiclassical limits and provides a unified\ndescription in terms of functional integrals: the Feynman path integral for the\nstatistical operator, and the integration over the space of potentials for\ncalculating the predictive density. The latter is treated in maximum a\nposteriori approximation, and various approximation schemes for the former are\ndeveloped and discussed. A simple numerical example shows the applicability of\nthe method.",
"arxiv_id": "quant-ph/0312191",
"authors": [
"J. C. Lemm",
"J. Uhlig",
"A. Weiguny"
],
"categories": [
"quant-ph"
],
"title": "Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/0312191"
},
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