Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors

Christian Gérard, Jacob Schach Møller, Morten Grud Rasmussen

Publikation: Working paper/PreprintWorking paperForskning


Time-dependent scattering theory for a large class of translation invariant models, including the Nelson and Polaron models, restricted to the vacuum and one-particle sectors is studied. Asymptotic completeness of these Hamiltonians is shown. The translation invariance imply that the Hamiltonian is fibered with respect to the total momentum. On the way to asymptotic completeness we determine the spectral structure of the fiber Hamiltonians, establish a Mourre estimate and derive a geometric asymptotic completeness statement as an intermediate step.
UdgiverAarhus University, Department of Mathematical Sciences
Antal sider24
StatusUdgivet - 2010
Udgivet eksterntJa