Long Range Scattering and Modified Wave Operators for the Wave-Schrödinger System

@article{Ginibre2002LongRS,
  title={Long Range Scattering and Modified Wave Operators for the Wave-Schr{\"o}dinger System},
  author={Jean Ginibre and Giorgio Velo},
  journal={Annales Henri Poincar{\'e}},
  year={2002},
  volume={3},
  pages={537-612}
}
  • Jean Ginibre, Giorgio Velo
  • Published 2002
  • Mathematics, Physics
  • Annales Henri Poincaré
  • Abstract. We study the theory of scattering for the system consisting of a Schrödinger equation and a wave equation with a Yukawa type coupling in space dimension 3. We prove in particular the existence of modified wave operators for that system with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators. The method consists in solving the wave equation, substituting the result into the Schrödinger equation, which then… CONTINUE READING

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