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ON THE SCATTERING THEORY OF MASSLESS NELSON MODELS
2002
Reviews in Mathematical Physics
We study the scattering theory for a class of non-relativistic quantum field theory models describing a confined non-relativistic atom interacting with a massless relativistic bosonic field. We construct invariant spaces H ± c which are defined in terms of propagation properties for large times and which consist of states containing a finite number of bosons in the region {|x| ≥ ct} for t → ±∞. We show the existence of asymptotic fields and we prove that the associated asymptotic CCR
doi:10.1142/s0129055x02001508
fatcat:3yofuablbzhbnixz2rchlsm5rm