Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory

Simple item page
dc.creatorLemm, J. C.
dc.creatorUhlig, J.
dc.creatorWeiguny, A.
dc.date2003-12-23
dc.date.accessioned2026-07-07T06:08:40Z
dc.date.available2026-07-07T06:08:40Z
dc.descriptionThe 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.
dc.description31 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0312191
dc.identifierhttp://arxiv.org/abs/quant-ph/0312191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91711
dc.subjectQuantum Physics
dc.titleBayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory
dc.typetext

Files

Collections

arXiv