Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap

Details Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap

2002-03-22

arxiv.org/abs/math-ph/0203046v1

Physics

Mathematical Physics

25 pages, 1 figure

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective N-body dynamics for the massless Nelson model and adiabatic decoupling without spectral gap will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360418