Local Scattering Operators for P(ϕ)₂ Models and the Time-dependent Schrödinger Equation

2005/12/29 by Schlegelmilch, Tobias
#35L90 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math-ph/0512091

Abstract

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.

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