Local Scattering Operators for P(\phi)_2 Models and the Time-dependent   Schr\"odinger Equation
  We establish the existence of Bogoliubov's local scattering operators for P(\phi)_2 models of constructive quantum field theory in a nonperturbative way. To this end, we use the technique of evolution semigroups to prove a new result on wellposedness of the Cauchy problem for the time-dependent Schr\"odinger equation under very general assumptions. 
Tobias Schlegelmilch