Use this url to cite publication: https://hdl.handle.net/20.500.12259/48949
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High precision parallel implementation of fourparticle harmonic oscillator transformation brackets for nuclear calculations
Type of publication
Tezės kituose recenzuojamuose leidiniuose / Theses in other peerreviewed publications (T1e)
Author(s)

Vilniaus universitetas




Fizikos institutas


Fizikos institutas

Title
High precision parallel implementation of fourparticle harmonic oscillator transformation brackets for nuclear calculations
Publisher
Kaunas : Vytautas Magnus university
Date Issued
2015
Extent
p. 101101
Is part of
The vital nature sign [elektroninis išteklius] : 9th international scientific conference : abstract book. Kaunas : Vytautas Magnus university, 2015, [no. 9]
Field of Science
Abstract
The microscopic description of nuclear shell model is one of rapidly developing area of modern physics. While solving the Schrödinger's equation, the basis of harmonic oscillator functions has proven to be extremely useful and efficient in describing compact quantum systems, such as nucleons in atomic nuclei and quarks in hadrons. This kind of basis is simple to use, although it has one major disadvantage it converges quite slow. For this reason the dimensions of matrices becomes very big as the values of quantum numbers, which are describing the elements of matrix. These values are required to find the coefficients for a few particle harmonic oscillator transformation brackets, which are constructed from ClebshGordan, 6j and 9j coefficients. Although the analytical expressions of these coefficients are simple,but big problems arise while doing calculations on the computer. Currently widely used 64 bit (Double) precision is not sufficient for these type of calculations as doing intermediate evaluation of coefficients requires very large factorial values. Therefore calculated coefficients are represented not corectly. Another problem is quite slow calculation, which could be solved by paralleling the computer code and using large computer clusters. This component of multiparticle problem limits its evaluation, so the expansion of limits for algorithms for calculating of harmonic oscillator transformation brackets must be done. Using external parallelization library and mutable precision we created a pack of numerical codes based on the methods of compact expressions of the three and four particle harmonics oscillator brackets. Program code is written in Fortran 90 programing language. For parallelization of used algorithm MPI parallel communication standard was used. [...].
Type of document
type::text::conference object::conference proceedings::conference paper
ISSN (of the container)
23358653
Other Identifier(s)
VDU02000018299
Coverage Spatial
Lietuva / Lithuania (LT)
Language
Anglų / English (en)
Bibliographic Details
0