TY - UNPB

T1 - Asymptotic completeness in quantum field theory

T2 - translation invariant Nelson type models restricted to the vacuum and one-particle sectors

AU - Gérard, Christian

AU - Møller, Jacob Schach

AU - Rasmussen, Morten Grud

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Working paper

BT - Asymptotic completeness in quantum field theory

PB - Aarhus University, Department of Mathematical Sciences

CY - Århus

ER -