 02142 Stefan Teufel
 Effective Nbody dynamics for the massless Nelson model and adiabatic decoupling without spectral gap
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Mar 22, 02

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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 spaceadiabatic theorem
without gap condition which gives, in particular, control on the rate
of convergence in the adiabatic limit.
 Files:
02142.src(
02142.keywords ,
Nelson2.tex ,
NelsPic1.eps )