Generating Functions for Multi-j-Symbols

1998/05/29 by Oliver Schnetz, Schnetz, Oliver · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Embedded Systems Design Techniques #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Methods and Algorithms #Parallel Computing and Optimization Techniques #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9805027

11 pages, 12 eps figures

arxiv created 1998/05/29 · openalex publication_date 1998/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A formula is derived that provides generating functions for any multi-j-symbol, such as the 3-j-symbol, the 6-j-symbol, the 9-j-symbol, etc. The result is completely determined by geometrical objects (loops and curves) in the graph of the the multi-j-symbol. A geometric-combinatorical interpretation for multi-j-symbols is given.

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