From owner-chemistry@ccl.net Wed Sep 2 02:57:01 2015 From: "uekstrom#%#gmail.com uekstrom#%#gmail.com" To: CCL Subject: CCL:G: analytic Coulomb and Exchange integrals for 2-dimensional Gaussian functions confined to a plane Message-Id: <-51657-150902025423-3463-21JROXcJaCUQiwFwz0f/EA:-:server.ccl.net> X-Original-From: "uekstrom.:.gmail.com" Content-Type: text/plain; charset=UTF-8 Date: Wed, 2 Sep 2015 08:54:13 +0200 MIME-Version: 1.0 Sent to CCL by: "uekstrom=-=gmail.com" [uekstrom=-=gmail.com] If you want the 1/r form you can take the expressions for anisotropic gaussian integrals and take the planar limit, but I am not sure that you will end up with a closed expression, there might be one integral that you have to approximate. The log r integrals can be easily computed by a 2d fft. Regards, Ulf