02-142 Stefan Teufel

Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap (90K, Latex 2e with 1 eps-figure) 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 space-adiabatic theorem without gap condition which gives, in particular, control on the rate of convergence in the adiabatic limit.

Files: 02-142.src( 02-142.keywords , Nelson2.tex , NelsPic1.eps )