Mathematical Physics Seminar
Relativistic zero-range interactions for multi-time wave functions
Location: Hill 705
Date & time: Thursday, 06 October 2016 at 2:00PM - 2:11PM
Matthias Lienert , Rutgers University: Multi-time wave functions, a concept introduced by Dirac in 1932, are quantum-mechanical wave functions with N space-time arguments for N particles. In this way, they naturally extend the non-relativistic (single-time) Schrödinger picture to the relativistic domain. However, because of the many time coordinates, the nature of time evolution changes. Setting up an interacting multi-time theory has proven a major challenge; a recent no-go theorem by Petrat and Tumulka e.g. excludes interaction by potentials. In this talk, I will present a multi-time model which achieves interaction in a different way, namley by zero-range (or delta) interactions. After briefly introducing the general multi-time formalism, I will give an overview of the main results and an idea of the novel techniques required to implement zero-range interactions in this setting.