Operateurs conjugués et propriétés de propagation

  title={Operateurs conjugu{\'e}s et propri{\'e}t{\'e}s de propagation},
  author={Eric Mourre},
  journal={Communications in Mathematical Physics},
We use an algebraic criteria (based on local positivity of a commutator) which asserts the existence of a direction of propagation for the flowe−iHt associated to a self-adjoint operatorH.This criteria is applied to the Hamiltonian of three body quantum systems interacting through long range two body potentials. We found the singular spectral support of the Green functions or equivalently the phase space support of the propagation in the one channel or the coulomb interaction cases. Elementary… CONTINUE READING