Stefan Teufel
Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap
(90K, Latex 2e with 1 eps-figure)
ABSTRACT. The Schroedinger equation for N particles interacting through effective
pair potentials is derived from the massless Nelson model with
ultraviolet cutoffs. We consider a scaling limit where the particles
are slow and heavy, but, in contrast to earlier work [6], no ``weak
coupling'' is assumed. To this end we prove a space-adiabatic theorem
without gap condition which gives, in particular, control on the rate
of convergence in the adiabatic limit.