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arXiv:cond-mat/9907013 · Physical Review Letters

Bayesian Approach to Inverse Quantum Statistics

Jörg C. Lemm, Jens Uhlig, A. Weiguny

Published Mar 6, 2000• 21 citations
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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 on potentials implemented in the form of stochastic processes. Its specific advantages are the possibilities to deal with heterogeneous data and to express a priori information explicitly in terms of the potential of interest. A numerical solution in maximum a posteriori approximation is obtained for one-dimensional problems. As nonparametric estimates, the results depend strongly on the implemented a priori information.

DOI
10.1103/physrevlett.84.2068

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