A Universal Generating Functional for SU(2) 3nj Symbols

Author: Arcticoder

About this Repository

This repository contains a paper on a universal generating functional for SU(2) 3nj symbols. The mathematical content is best viewed through GitHub Pages, where the LaTeX equations are properly rendered.

View the Paper

Click here to view the paper with rendered equations

Contents

This repository includes:

• index.html - The main HTML page with MathJax for equation rendering
• index.md - A markdown version with proper equation syntax for GitHub Pages
• _config.yml - Configuration for GitHub Pages with Jekyll
• Original LaTeX source file and PDF

Included Scripts

This repository includes Python scripts that calculate and verify the mathematical results:

• compute_G_xy_series_coefficients.py: Computes series coefficients of the generating function for 6-j symbols.
• compute_hilbert_series_coefficients_n2_6.py: Computes Hilbert series coefficients for ( n=2 ) to ( n=6 ).
• test_15j_generating_function.py: Tests specific terms of the 15-j generating function.

Data and Results

Results of running these scripts:

• series_coefficients_G_xy_up_to2.csv
• hilbert_series_coeffs_n2_6.csv
• 15j_generating_function_tests.csv