Local Scattering Operators for P(φ)_2 Models and the Time-dependent Schrödinger Equation

Details Local Scattering Operators for P(φ)_2 Models and the Time-dependent Schrödinger Equation Local Scattering Operators for P(φ)_2 Models and the Time-dependent Schrödinger Equation

2005-12-29

arxiv.org/abs/math-ph/0512091v1

Physics

Mathematical Physics

Ph.D. thesis, 121 pages

Scientific paper

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.

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