Uncertainty analysis and symmetry restoration in nuclear selfconsistent methods
This thesis contains two articles, in the following denoted by I and II, and an introduction to
them. In Chapter 1, I present the theoretical models of nuclear structure. In Chapter 2, I introduce
the basic ideas about the density functional theory (DFT) and selfconsistent meanfield
(SCMF) calculations. In Chapter 3, I give the formulae for the uncertainty propagation, which
is the error analysis method used in article I. As a proper tool to survey the predictive power
of theoretical models, the error analysis now has become more and more widely used. By analyzing
the propagation of uncertainties, one tries to find out the e ectiveness of the calculation
with a given parameter set obtained from optimization. In Chapter 4, I present the theoretical
framework of the Lipkin method used in article II. This method can be considered as an approximation
of the variationafterprojection method. In Chapter 6, I brie
y review the main
results of articles I and II. In the Appendices, I give some useful details and derivations.
...
Publisher
University of JyväskyläISBN
9789513963743ISSN Search the Publication Forum
0075465XContains publications
 Artikkeli I: Gao, Y., Dobaczewski, J., Kortelainen, M., Toivanen, J., & Tarpanov, D. (2013). Propagation of uncertainties in the Skyrme energydensityfunctional model. Physical Review C, 87(3), Article 034324. DOI: 10.1103/PhysRevC.87.034324
 Artikkeli II:Gao, Y., Dobaczewski, J. & Toivanen, P. Approximate restoration of translational and rotational symmetries within the Lipkin method. Arxiv preprint
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