### Abstract

Algorithms are developed for the exact evaluation of the By-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.

Original language | English (US) |
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Pages (from-to) | 1961-1970 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 16 |

Issue number | 10 |

State | Published - Dec 1 1974 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*16*(10), 1961-1970.

**Exact recursive evaluation of 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta.** / Schulten, Klaus; Gordon, Roy G.

Research output: Contribution to journal › Review article

*Journal of Mathematical Physics*, vol. 16, no. 10, pp. 1961-1970.

}

TY - JOUR

T1 - Exact recursive evaluation of 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta

AU - Schulten, Klaus

AU - Gordon, Roy G.

PY - 1974/12/1

Y1 - 1974/12/1

N2 - Algorithms are developed for the exact evaluation of the By-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.

AB - Algorithms are developed for the exact evaluation of the By-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.

UR - http://www.scopus.com/inward/record.url?scp=36749112519&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749112519&partnerID=8YFLogxK

M3 - Review article

AN - SCOPUS:36749112519

VL - 16

SP - 1961

EP - 1970

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

ER -