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From infrared problems to non-commutative recurrence relations

Wojciech Dybalski
(LMU/TU Munchen)
Analysis Seminar
Thursday, 31 August, 2017, at 16:15-17:00, in Aud. D3 (1531-215)
Abstract:
In this talk I will discuss some advances  in scattering theory of the massless Nelson model.  They include the existence of scattering states of two  electrically neutral particles (`atom-atom scattering') and  of one neutral and one charged particle (`atom-electron scattering').

The existence of two-particle scattering states requires  detailed information about localization of each particle in space.  This is encoded in infrared regularity requirements on the ground  state wave functions of the model w.r.t. the total momentum.  I will explain how to verify these requirements using a theory of  non-commutative  recurrence relations combined with iterative  analytic perturbation theory.

The talk is based on joint work with A. Pizzo.
Contact person: Jacob Schach Møller