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math.APJan 1, 2020
3
citations (OpenAlex)
authors
  • Clotilde Fermanian-Kammerer
  • Caroline Lasser
  • Didier Robert
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire d’Analyse et de Mathématiques Appliquées
  • Laboratoire de Mathématiques Jean Leray
  • Nantes Université
  • Technical University of Munich
  • Université de Nantes
  • Université Gustave Eiffel
  • Université Paris-Est Créteil
arXiv abstractPDF
paper

Propagation of Wave Packets for Systems Presenting Codimension 1 Crossings

arXiv:2001.07484 · doi:10.1007/s00220-021-04147-2

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.

References in corpus (6)

  • On time dependent Schr{ö}dinger equations: global well-posedness and growth of Sobolev norms
  • Single-Hessian thawed Gaussian approximation: The missing rung on the ladder
  • Herman-Kluk propagator is free from zero-point energy leakage
  • Wavepackets in inhomogeneous periodic media: propagation through a one-dimensional band crossing
  • An Egorov Theorem for avoided crossings of eigenvalue surfaces
  • A Diabatic Surface Hopping Algorithm based on Time Dependent Perturbation Theory and Semiclassical Analysis

Cited by in corpus (1)

  • Propagation of Coherent States through Conical Intersections
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