Calculation of unit tensor operators using a restricted set of Slater determinants

• DOI: 10.1016/j.jqsrt.2014.02.009
• Publication Date: 2014-02-15T17:46:03Z
• Authors: E.G. Hill
• Keywords: Slater determinant; Clebsch–Gordan coefficients

Abstract In this paper we present a new result involving the properties of the Clebsch–Gordan coefficients well-used in atomic physics. We also demonstrate a practical use of this result: a new and simple method of calculation of unit tensor operators of multi-electron atoms while working within the Slater–Condon scheme. This results in a significant increase in the ease of implementation of multi-electron atomic physics models, and we discuss the computational complexity of the resulting algorithm.