A Bayesian Approach to Inverse Quantum Statistics
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Data Analysis, Statistics and Probability
Quantum Physics
Abstract
A nonparametric Bayesian approach is developed to determine quantum potentials from empirical data for quantum systems at finite temperature. The approach combines the likelihood model of quantum mechanics with a priori information over potentials implemented in form of stochastic processes. Its specific advantages are the possibilities to deal with heterogeneous data and to express a priori information explicitly, i.e., directly in terms of the potential of interest. A numerical solution in maximum a posteriori approximation was feasible for one--dimensional problems. Using correct a priori information turned out to be essential.
Cite
@article{arxiv.cond-mat/9907013,
title = {A Bayesian Approach to Inverse Quantum Statistics},
author = {J. C. Lemm and J. Uhlig and A. Weiguny},
journal= {arXiv preprint arXiv:cond-mat/9907013},
year = {2009}
}
Comments
4 pages, 6 figures, revtex