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Titolo:
Bayesian reconstruction of approximately periodic potentials for quantum systems at finite temperature
Autore:
Lemm, JC; Uhlig, J; Weiguny, A;
Indirizzi:
Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany Univ Munster Munster Germany D-48149 oret Phys, D-48149 Munster, Germany
Titolo Testata:
EUROPEAN PHYSICAL JOURNAL B
fascicolo: 3, volume: 20, anno: 2001,
pagine: 349 - 366
SICI:
1434-6028(200104)20:3<349:BROAPP>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
STATISTICAL-INFERENCE; REGULARIZATION THEORY; COMPUTATIONAL VISION; INVERSE PROBLEM; ALGORITHMS; DISTRIBUTIONS; OPTIMIZATION; RELAXATION; MECHANICS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
72
Recensione:
Indirizzi per estratti:
Indirizzo: Lemm, JC Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany Univ Munster Munster Germany D-48149 , D-48149 Munster, Germany
Citazione:
J.C. Lemm et al., "Bayesian reconstruction of approximately periodic potentials for quantum systems at finite temperature", EUR PHY J B, 20(3), 2001, pp. 349-366

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 basedon 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 feasibilityof the approach is demonstrated for a numerical model.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 22/09/20 alle ore 23:47:18