Seminars & Colloquia Calendar
When Photon Met Electron: A Bohmian Rhapsody
Shadi Tahvildar-Zadeh - Rutgers University
Location: Hill 705
Date & time: Thursday, 28 March 2019 at 2:00PM - 3:00PM
Abstract: In this talk I present a recent joint work with Michael Kiessling and Matthias Lienert, in which we formulate a fully Lorenz-covariant system of equations for the multi-time wave function of a two-body quantum-mechanical system in one space dimension comprised of one electron and one photon that are interacting via a Lorentz-invariant boundary condition derived from particle current conservation. We prove that the corresponding initial-boundary-value problem is well-posed, and that the trajectories obtained for the two particles via a Hypersurface Dirac-Bohm theory exist globally, for typical initial positions. I will end by showing preliminary results of some ongoing numerical experiments.