Phys. Rev. A 70, 032502 (2004) [6 pages]

Recursion relations for the generic Hylleraas three-electron integral

Abstract

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Krzysztof Pachucki^* and Mariusz Puchalski^†
Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

Ettore Remiddi^‡,§
Dipartimento di Fisica, Università di Bologna, and INFN Sezione di Bologna, I-40126 Bologna, Italy

Received 11 May 2004; published 7 September 2004

Recursion relations for the generic Hylleraas three-electron integral are obtained in a closed form by using integration by parts identities. Numerically fast algorithms suitable for high precision calculations of the integral with high powers of interelectronic coordinates are presented.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.70.032502

DOI:

10.1103/PhysRevA.70.032502

PACS:

31.15.Pf, 31.25.−v, 02.70.−c

^*Electronic address: krp@fuw.edu.pl

^†Electronic address: mpuchals@fuw.edu.pl

^‡Electronic address: remiddi@bo.infn.it

^§Also at: CERN-PH-TH, CH-1211 Geneva 23, Switzerland.

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Phys. Rev. A 70, 032502 (2004) [6 pages]

Recursion relations for the generic Hylleraas three-electron integral