Propagation of Wave Packets for Systems Presenting Codimension One Crossings

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

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich
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.

Domains: Analysis of PDEs [math.AP]; Mathematical Physics [math-ph]

Clotilde Fermanian-Kammerer, Caroline Lasser, Didier Robert. Propagation of Wave Packets for Systems Presenting Codimension One Crossings. Communications in Mathematical Physics, 2021, 385 (3), pp.1695-1739. ⟨10.1007/s00220-021-04147-2⟩. ⟨hal-02444232v3⟩