Local Scattering Operators for P(\phi)_2 Models and the Time-dependent Schr\"odinger Equation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0512091,
title = {Local Scattering Operators for P(\phi)_2 Models and the Time-dependent Schr\"odinger Equation},
author = {Tobias Schlegelmilch},
journal= {arXiv preprint arXiv:math-ph/0512091},
year = {2007}
}
Comments
Ph.D. thesis, 121 pages