General spherical harmonic bra-ket overlap integrals of trigonometric functions
Mathematical Physics
2023-02-06 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Atomic Physics
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2205.02337,
title = {General spherical harmonic bra-ket overlap integrals of trigonometric functions},
author = {Giuseppe Lingetti and Paolo Pani},
journal= {arXiv preprint arXiv:2205.02337},
year = {2023}
}
Comments
6 pages, comments are welcome