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arXiv · 2205.02337

General spherical harmonic bra-ket overlap integrals of trigonometric functions

Giuseppe Lingetti·Paolo Pani
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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.

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Giuseppe Lingetti, Paolo Pani. 2022-05-04. General spherical harmonic bra-ket overlap integrals of trigonometric functions. https://doi.org/10.1088/1361-6382%2Facb880

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