The multiconfiguration methods in quantum chemistry: Palais–Smale condition and existence of minimizers
Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 299-304.

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.

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.

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DOI: 10.1016/S1631-073X(02)02252-5
Lewin, Mathieu 1

1 CEREMADE, Université Paris IX Dauphine, place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France
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Lewin, Mathieu. The multiconfiguration methods in quantum chemistry: Palais–Smale condition and existence of minimizers. Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 299-304. doi : 10.1016/S1631-073X(02)02252-5. http://www.numdam.org/articles/10.1016/S1631-073X(02)02252-5/

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