Derivation of a general formula for the Shibuya–Wulfman matrix

An explicit and general formula for the Shibuya–Wulfman matrix, which may easily be programmed, is derived. The derivation closely follows the Fourier transform methods of Weniger. A graph of a number of typical matrix elements is given to show the dependence of the Shibuya–Wulfman matrix on the translation distance multiplied by the screening parameter. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004