Abstract.
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 [7], 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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Submitted 25/03/02, accepted 17/06/02
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ID="h1"Communicated by Gian Michele Graf
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Teufel, S. Effective N-Body Dynamics for the Massless Nelson Model and Adiabatic Decoupling without Spectral Gap. Ann. Henri Poincaré 3, 939–965 (2002). https://doi.org/10.1007/s00023-002-8643-4
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DOI: https://doi.org/10.1007/s00023-002-8643-4