hal.structure.identifier	Centre de physique moléculaire optique et hertzienne [CPMOH]
dc.contributor.author	FOERSTER, Dietrich
dc.description.abstractEn	The four center integrals needed in the Hartree Fock approximation and in TDDFT linear response are known to be difficult to calculate for orbitals of the Slater type or of finite range. We show that the interaction of pairs of products that do not mutually intersect may be replaced by the interaction of their moments, of which there are O(N). Only quadruplets of orbitals 'close' to one another need an explicit calculation and the total calculational effort therefore scales as O(N). We provide a new and concise proof of this "interaction by moments" property.
dc.language.iso	en
dc.subject.en	four center integrals
dc.subject.en	linear response
dc.subject.en	interaction by moments
dc.title.en	On an "interaction by moments" property of four center integrals
dc.type	Document de travail - Pré-publication
dc.subject.hal	Physique [physics]/Physique [physics]/Chimie-Physique [physics.chem-ph]
dc.identifier.arxiv	physics/0612187
hal.identifier	hal-00121153
hal.version	1
hal.audience	Non spécifiée
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00121153v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=FOERSTER,%20Dietrich&rft.genre=preprint

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On an "interaction by moments" property of four center integrals