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Comptes Rendus Mathématique
Volume 334, n° 4
pages 299-304 (2002)
Doi : S1631-073X(02)02252-5
Received : 28 November 2001 ;  accepted : 17 December 2001
The multiconfiguration methods in quantum chemistry: Palais-Smale condition and existence of minimizers
Les méthodes de multiconfiguration en chimie quantique : condition de Palais-Smale et existence de minima

Mathieu Lewin
CEREMADE, Université Paris IX Dauphine, place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France 

Note presented by Pierre-Louis Lions


In this Note, we propose a new proof for the existence of a minimum in the multiconfiguration methods in Quantum Chemistry. We use a Palais-Smale condition with Morse-type information, whose proof is based on the Euler-Lagrange equations, written in a simple and useful way. To cite this article: M. Lewin, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 299-304.

The full text of this article is available in PDF format.

Dans cette Note, nous proposons une nouvelle preuve de l'existence d'un minimum pour les méthodes de multiconfiguration en Chimie Quantique. Nous utilisons une propriété de Palais-Smale (avec information de type Morse), dont la démonstration repose sur les équations d'Euler-Lagrange écrites sous une forme compacte aisément utilisable. Pour citer cet article : M. Lewin, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 299-304.

The full text of this article is available in PDF format.

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