Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap
نویسنده
چکیده
The Schrödinger 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.
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