Improved recursive computation of clebsch-Gordan coefficients
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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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