Asymptotics of the 3j and 9j Coefficients

TL;DR

This paper investigates the asymptotic behavior of 3j and 9j coefficients, providing detailed calculations and comparing exact values with asymptotic approximations to understand their large j limits.

Contribution

It offers detailed derivations and comparisons of exact and asymptotic expressions for 3j and 9j coefficients, advancing understanding of their large j asymptotics.

Findings

Asymptotic formulas closely match exact coefficients at large j

Derived explicit expressions for large j behavior of 3j and 9j coefficients

Enhanced understanding of angular momentum coupling in quantum mechanics

Abstract

In this work we present the details of calculations we previously performed for the large j behavior of certain 3j and coefficients. We compare exact and asymptotic expressions.