Fast evaluation of Gaunt coefficients: recursive approach
نویسندگان
چکیده
منابع مشابه
Fast evaluation of the Gaunt coefficients
Addition theorems for vector spherical harmonics require the determination of the Gaunt coefficients that appear in a linearization expansion of the product of two associated Legendre functions. This paper presents an algorithm for the efficient calculation of these coefficients through solving the most appropriate (lower triangular) linear system and derives all relevant recurrence relations n...
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Gaunt coefficients express angular momentum conservation rules. They are therefore required in the combination of atomic orbitals. In this case, the angular factors are real spherical harmonics and the Gaunt coefficients appear when their products are linearized. The Gaunt coefficients may be pre-calculated and stored. This work describes new index functions for storing and retrieving the requi...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1997
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00128-3