论文标题
三角函数的一般球形谐波烤面包机重叠积分
General spherical harmonic bra-ket overlap integrals of trigonometric functions
论文作者
论文摘要
计算了CLEBSCH-GORDAN系数的两次封闭公式，以评估广泛的三角函数的Bra-Ket球形谐波重叠积分。这些分析表达式可以在涉及不可分割的波方程的问题中找到有用的应用，例如一般性驱动理论，电磁，量子理论等，其中重叠积分来自不同角模式之间的耦合。
Closed formulas in terms of double sums of Clebsch-Gordan coefficients are computed for the evaluation of bra-ket spherical harmonic overlap integrals of a wide class of trigonometric functions. These analytical expressions can find useful application in problems involving non-separable wave equations, e.g. general-relativistic perturbation theory, electromagnetism, quantum theory, etc, wherein the overlap integrals arise from the coupling among different angular modes.
