Bayesian reconstruction of approximately periodic potentials for quantum systems at finite temperature |
| |
Authors: | JC Lemm J Uhlig A Weiguny |
| |
Institution: | Institut für Theoretische Physik, Universit?t Münster, 48149 Münster, Germany, DE
|
| |
Abstract: | The paper discusses the reconstruction of potentials for quantum systems at finite temperatures from observational data. A
nonparametric approach is developed, based on the framework of Bayesian statistics, to solve such inverse problems. Besides
the specific model of quantum statistics giving the probability of observational data, a Bayesian approach is essentially
based on a priori information available for the potential. Different possibilities to implement a priori information are discussed in detail, including hyperparameters, hyperfields, and non-Gaussian auxiliary fields. Special emphasis
is put on the reconstruction of potentials with approximate periodicity. Such potentials might for example correspond to periodic
surfaces modified by point defects and observed by atomic force microscopy. The feasibility of the approach is demonstrated
for a numerical model.
Received 29 May 2000 and Received in final form 16 August 2000 |
| |
Keywords: | PACS 05 30 -d Quantum statistical mechanics – 02 50 Tt Inference methods |
本文献已被 SpringerLink 等数据库收录! |
|