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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
31 pages, 5 figures

Keywords

Quantum Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/91711

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0312191
 http://arxiv.org/abs/quant-ph/0312191

Collections

arXiv