Une formule de Landau–Zener pour un croisement non dégénéré et involutif de codimension 3Landau–Zener formula for non-degenerate involutive codimension 3 crossings |
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| Authors: | Clotilde Fermanian Kammerer Patrick Gérard |
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| Affiliation: | 1. Université de Cergy-Pontoise, dept. de mathématiques, BP 222, Pontoise, 95302 Cergy-Pontoise cedex, France;2. Université de Paris-Sud, mathématiques, bât. 425, 91405 Orsay, France |
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| Abstract: | In this Note, we study a 2×2 system of evolution equations with some codimension 3 crossing. We derive two conditions of non-degeneracy. We focus on one of them and reduce our system to some Landau–Zener's type system. Using this reduction, we describe the energy transfer at the crossing by Landau–Zener formula for 2-scales semi-classical measures. To cite this article: C. Fermanian Kammerer, P. Gérard, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 915–920. |
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