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Closed-form SU(2) operator matrix elements for arbitrary-valence nodes via a universal generating functional and hypergeometric expansion.

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arcticoder/su2-node-matrix-elements

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SU(2) Node Matrix Elements

This repository contains the paper "Closed-Form Matrix Elements for Arbitrary-Valence SU(2) Nodes via Generating Functionals" and its implementation as a GitHub Pages site.

Website: https://arcticoder.github.io/su2-node-matrix-elements/

Abstract

We derive closed-form expressions for SU(2) operator matrix elements on arbitrary-valence nodes by extending the universal generating functional approach with source terms. Our central result is a determinant-based formula incorporating group-element dependence, which yields all matrix elements via a single Gaussian integral and hypergeometric expansion.

Repository Contents

  • index.html: HTML version of the full paper with MathJax support
  • _layouts/default.html: Jekyll layout template
  • _includes/head.html: HTML head section with CSS and script references
  • assets/css/style.scss: Main CSS for the site (processed by Jekyll)
  • _config.yml: Jekyll configuration file
  • Original LaTeX source files