General spherical harmonic bra-ket overlap integrals of trigonometric functions
arXiv:2205.02337 · doi:10.1088/1361-6382/acb880
Abstract
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.
arXiv comment6 pages, comments are welcome
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