Wigner Measure Propagation and Conical Singularity for General Initial Data

@article{FermanianKammerer2013WignerMP,
  title={Wigner Measure Propagation and Conical Singularity for General Initial Data},
  author={Clotilde Fermanian-Kammerer and Patrick G{\'e}rard and Caroline Lasser},
  journal={Archive for Rational Mechanics and Analysis},
  year={2013},
  volume={209},
  pages={209-236}
}
We study the evolution of Wigner measures of a family of solutions of a Schrödinger equation with a scalar potential displaying a conical singularity. Under a genericity assumption, classical trajectories exist and are unique, thus the question of the propagation of Wigner measures along these trajectories becomes relevant. We prove the propagation for general initial data. 
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