MPEJ Volume 13, No. 4, 24 pp.
Received: May 4, 2006. Revised: Jan 16, 2007. Accepted:  Jul 20, 2007.


C.Fermanian Kammerer
Normal forms for conical intersections in quantum chemistry

ABSTRACT: In quantum chemistry, the dynamics of heavy molecules is described by
Schr\"odinger equations with energy level crossings. These crossings generate
energy transfers at leading order between the modes as was earlier noticed by
Landau and Zener in the 30's. The mathematical analysis of these transfers
relies on the use of normal forms. Here, we analyze the implications of Y.
Colin de Verdi\`ere's recent result on normal forms in the context derived by
G. Hagedorn for molecular propagation and extend these normal forms to
codimension 5 crossings.

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