Effective N-Body Dynamics for the Massless Nelson Model and Adiabatic Decoupling without Spectral Gap
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چکیده
منابع مشابه
Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap
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 ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2002
ISSN: 1424-0637
DOI: 10.1007/s00023-002-8643-4