Physics – Quantum Physics
Scientific paper
2003-12-23
Physics
Quantum Physics
31 pages, 5 figures
Scientific paper
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.
Lemm Joerg C.
Uhlig J.
Weiguny A.
No associations
LandOfFree
Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-641188