矢量耦合系数或Wigner 3 j符号的屏幕表示：渐近行为的精确计算和说明
The screen representation of vector coupling coefficients or Wigner 3j symbols: exact computation and illustration of the asymptotic behavior
摘要：
量子角动量理论的维格纳$3j$符号与矢量耦合或Clebsch-Gordan系数以及离散正交超球族的哈恩和对偶哈恩多项式有关，用于离散近似。我们指出的重要作用的Regge对称定义屏幕上的图像的系数投影，并讨论其渐近性质和半经典行为。递归关系制定为特征值方程，并利用计算的目的和物理解释。
英文摘要：
The Wigner $3j$ symbols of the quantum angular momentum theory are related to the vector coupling or Clebsch-Gordan coefficients and to the Hahn and dual Hahn polynomials of the discrete orthogonal hyperspherical family, of use in discretization approximations. We point out the important role of the Regge symmetries for defining the screen where images of the coefficients are projected, and for discussing their asymptotic properties and semiclassical behavior. Recursion relationships are formulated as eigenvalue equations, and exploited both for computational purposes and for physical interpretations.
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