English

Propagation of Wave Packets for Systems Presenting Codimension 1 Crossings

Analysis of PDEs 2021-07-21 v3 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2001.07484,
  title  = {Propagation of Wave Packets for Systems Presenting Codimension 1 Crossings},
  author = {Clotilde Fermanian-Kammerer and Caroline Lasser and Didier Robert},
  journal= {arXiv preprint arXiv:2001.07484},
  year   = {2021}
}