PROPAGATION OF WAVE PACKETS FOR SYSTEMS PRESENTING CODIMENSION 1 CROSSINGS

Clotilde Fermanian-Kammerer (1) , Caroline Lasser (2) , Didier Robert (3)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Zentrum Mathematik-M3
3 LMJL - Laboratoire de Mathématiques Jean Leray

We analyze the propagation of coherent states through general systems of pseudodifferential form associated with Hamiltonian presenting codimension one eigen-value crossings. In particular, we calculate precisely the non adiabatic effects of the crossing in terms of a transition operator.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Clotilde Fermanian-Kammerer, Caroline Lasser, Didier Robert. PROPAGATION OF WAVE PACKETS FOR SYSTEMS PRESENTING CODIMENSION 1 CROSSINGS. 2020. ⟨hal-02444232v2⟩