Improved recursive computation of clebsch-Gordan coefficients

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http://hdl.handle.net/10138/325695

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Xu , G 2020 , ' Improved recursive computation of clebsch-Gordan coefficients ' , Journal of Quantitative Spectroscopy & Radiative Transfer , vol. 254 , 107210 . https://doi.org/10.1016/j.jqsrt.2020.107210

Title: Improved recursive computation of clebsch-Gordan coefficients
Author: Xu, Guanglang
Contributor organization: Particle Physics and Astrophysics
Department of Physics
Date: 2020
Language: eng
Number of pages: 6
Belongs to series: Journal of Quantitative Spectroscopy & Radiative Transfer
ISSN: 0022-4073
DOI: https://doi.org/10.1016/j.jqsrt.2020.107210
URI: http://hdl.handle.net/10138/325695
Abstract: Fast, accurate, and stable computation of the Clebsch-Gordan (C-G) coefficients is always desirable, for example, in light scattering simulations, the translation of the multipole fields, quantum physics and chemistry. Current recursive methods for computing the C-G coefficients are often unstable for large quantum numbers due to numerical overflow or underflow. In this paper, we present an improved method, called the sign-exponent recurrence, for the recursive computation of C-G coefficients. The result shows that the proposed method can significantly improve the stability of the computation without losing its efficiency, producing accurate values for the C-G coefficients even with very large quantum numbers. (C) 2020 The Author. Published by Elsevier Ltd.
Subject: Clebsch-Gordan coefficients
Recursive computation
Light scattering
Translation coefficients
Multipole fields
T-Matrix
LIGHT-SCATTERING
MATRIX-ELEMENTS
T-MATRIX
TRANSLATION
3J-COEFFICIENTS
6J-COEFFICIENTS
3J
114 Physical sciences
Peer reviewed: Yes
Rights: cc_by
Usage restriction: openAccess
Self-archived version: publishedVersion


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