Local Scattering Operators for P(ϕ)_2 Models and the Time-dependent Schrödinger Equation
Abstract
Description
We establish the existence of Bogoliubov's local scattering operators for P(ϕ)_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 Schrödinger equation under very general assumptions.
Ph.D. thesis, 121 pages
Ph.D. thesis, 121 pages