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Solutions of the multiconfiguration equations in quantum chemistry

Lewin, Mathieu (2004), Solutions of the multiconfiguration equations in quantum chemistry, Archive for Rational Mechanics and Analysis, 171, 1, p. 83-114. http://dx.doi.org/10.1007/s00205-003-0281-6

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00093510/en/
Date
2004
Journal name
Archive for Rational Mechanics and Analysis
Volume
171
Number
1
Publisher
Springer-Verlag
Pages
83-114
Publication identifier
Metadata
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Author(s)
Lewin, Mathieu cc
Abstract (EN)
The multiconfiguration methods are the natural generalization of the well-known Hartree-Fock theory for atoms and molecules. By a variational method, we prove the existence of a minimum of the energy and of infinitely many solutions of the multiconfiguration equations, a finite number of them being interpreted as excited states of the molecule. Our results are valid when the total nuclear charge Z exceeds N–1 (N is the number of electrons) and cover most of the methods used by chemists. The saddle points are obtained with a min-max principle; we use a Palais-Smale condition with Morse-type information and a new and simple form of the Euler-Lagrange equations.
Subjects / Keywords
Physique mathématique