Simplified recursive algorithm for Wigner 3j and 6j symbols
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Authors
Luscombe, James H.
Luban, Marshall
Subjects
Advisors
Date of Issue
1998-06
Date
Publisher
American Physical Society
Language
Abstract
We present a highly accurate, ab initio recursive algorithm for evaluating the Wigner 3 j and 6 j symbols.
Our method makes use of two-term, nonlinear recurrence relations that are obtained from the standard three-term recurrence relations satisfied by these quantities. The use of two-term recurrence relations eliminates the need for rescaling of iterates to control numerical overflows and thereby simplifies the widely used recursive algorithm of Schulten and Gordon.
Type
Article
Description
Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
U.S. Department of Energy under contract No. W-7405-Eng-82
Funding
Format
4 p.
Citation
Physical Review E, v. 57, no. 6, June 1998, pp. 7274-7277
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.