TCB Publications - Abstract

Klaus Schulten and Roy G. Gordon. Exact recursive evaluation of 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta. Journal of Mathematical Physics, 16:1961-1970, 1975.

SCHU75 Algorithms are developed for the exact evaluation of the 3j-coefficients of Wigner and the 6j-coefficients of Racah. These coefficients arise in the quantum theory of coupling of angular momenta. The method is based on the exact solution of recursion relations in a particular order designed to guarantee numerical stability even for large quantum numbers. The algorithm is more efficient and accurate than those based on explicit summations, particularly in the commonly arising case in which a whole set of related coefficients is needed.

Download Full Text

The manuscripts available on our site are provided for your personal use only and may not be retransmitted or redistributed without written permissions from the paper's publisher and author. You may not upload any of this site's material to any public server, on-line service, network, or bulletin board without prior written permission from the publisher and author. You may not make copies for any commercial purpose. Reproduction or storage of materials retrieved from this web site is subject to the U.S. Copyright Act of 1976, Title 17 U.S.C.

Download full text: PDF (793.0KB)