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variational_principle_dirac_1d

https://github.com/dasame1007/variational_principle_dirac_1d

Science Score: 54.0%

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    Low similarity (4.2%) to scientific vocabulary
Last synced: 6 months ago · JSON representation ·

Repository

Basic Info
  • Host: GitHub
  • Owner: Dasame1007
  • License: mit
  • Language: Mathematica
  • Default Branch: main
  • Homepage:
  • Size: 497 KB
Statistics
  • Stars: 0
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Created about 1 year ago · Last pushed 12 months ago
Metadata Files
Readme License Citation

README.md

This repository contains the Python code used to produce the numerical results presented in the article "On the existence of eigenvalues of a one-dimensional Dirac operator" [arXiv] [Journal] written by Daniel Sánchez-Mendoza and Monika Winklmeier.

The Jupyter notebook VariationalPrincipleDirac_1d.ipynb numerically implements the variational principle and applies it to an example taken form [DKTZ23]. The output is saved into the file data.csv which is then loaded into the Wolfram Mathematica notebook Plots.nb where it is plotted alongside some analytical examples.

Citation (CITATION.cff) 

message:        "Please cite as below."
authors:
- family-names: "Sánchez-Mendoza"
  given-names:  "Daniel"
  orcid:        "https://orcid.org/0000-0001-5816-564X"
- family-names: "Winklmeier"
  given-names:  "Monika"
  orcid:        "https://orcid.org/0000-0001-8590-5738"
title:          "Variational_Principle_Dirac_1d"
date-released:  2025-01-05
url:            "https://github.com/Dasame1007/Variational_Principle_Dirac_1d"

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