Transformation of the integral using Hylleraas coordinates in N-dimensions

Authors: Mukhopadhyay, Soma; Chatterjee, Ashok

Source: Canadian Journal of Physics, Volume 84, Number 9, September 2006 , pp. 857-859(3)

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Abstract:

The integral ∫ F(r, r′, |r-r′|) dr dr′ where r and r′ are N-dimensional position vectors can be transformed into a simple three-dimensional integral using Hylleraas coordinates. A simple derivation of this result is presented. PACS Nos.: 31.15.-p; 31.15.Ja; 03.65.-w

L'utilisation des coordonnées de Hylleraas rend possible la transformation de l'intégrale ∫ F(r, r′, |r-r′|) dr dr′, où r et r′ sont des vecteurs positions en N dimensions, en une intégrale simple en trois dimensions. Nous présentons une démonstration simple de ce résultat. [Traduit par la Rédaction]

Document Type: Research article

Publication date: 2006-09-01

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