Optimizing tensor contractions for nuclear correlation functions
Name
898281997-MIT.pdf
Description
Full printable version
Size
1.78 MB
Format
Adobe PDF
Checksum (MD5)
10cbdff48e439e1cb9b6652f7109df6e
Author(s)
Vachaspati, Pranjal
Advisor(s)
William Detmold.
Date Issued
2014
Publisher
Massachusetts Institute of Technology
Abstract
Nuclear correlation functions reveal interesting physical properties of atomic nuclei, including ground state energies and scattering potentials. However, calculating their values is computationally intensive due to the fact that the number of terms from quantum chromodynamics in a nuclear wave function scales exponentially with atomic number. In this thesis, we demonstrate two methods for speeding up this computation. First, we represent a correlation function as a sum of the determinants of many small matrices, and exploit similarities between the matrices to speed up the calculations of the determinants. We also investigate representing a correlation function as a sum of functions of bipartite graphs, and use isomorph-free exhaustive generation techniques to find a minimal set of graphs that represents the computation.
Description
Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 37-38).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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