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Uncertainty analysis and symmetry restoration in nuclear self-consistent methods

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Research report / Department of Physics, University of Jyväskylä
Authors
Gao, Yuan
Date
2015
Discipline
Teoreettinen fysiikka

 
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 self-consistent mean-field (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 variation-after-projection 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 Jyväskylä
ISBN
978-951-39-6374-3
ISSN Search the Publication Forum
0075-465X
Contains publications
  • Artikkeli I: Gao, Y., Dobaczewski, J., Kortelainen, M., Toivanen, J., & Tarpanov, D. (2013). Propagation of uncertainties in the Skyrme energy-density-functional 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
Keywords
ydinrakenne tiheysfunktionaaliteoria energiatiheysfunktionaalit nuclear structure nuclear density functional theory energy-density-functionals propagation of uncertainty symmetry restoration ydinfysiikka matemaattiset mallit virheanalyysi symmetria
URI

http://urn.fi/URN:ISBN:978-951-39-6374-3

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