Semiclassical Analysis of the Wigner $12j$ Symbol with One Small Angular Momentum

Understand

We derive an asymptotic formula for the Wigner $12j$ symbol, in the limit of one small and 11 large angular momenta.

• There are two kinds of asymptotic formulas for the $12j$ symbol with one small angular momentum.
• We present the first kind of formula in this paper.
• Our derivation relies on the techniques developed in the semiclassical analysis of the Wigner $9j$ symbol [L.