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Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap | | Stefan Teufel
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22 Mar 2002 | | Subject: | Mathematical Physics MSC-class: 81Q05, 81T10 | math-ph math.MP | | 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. | | Source: | arXiv, math-ph/0203046 | | Services: | Forum | Review | PDF | Favorites | |
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