Phaseless inverse scattering problem

Roman Novikov (Ecole Polytechnique, Palaiseau)

Mar 16. 2021, 14:45 — 15:30

We consider the direct and inverse scattering problems for the Schrödinger equation of quantum mechanics and for the Helmholtz equation of acoustics and electrodynamics. Moreover, only scattering data without phase information can be directly measured in practice in quantum mechanics and in some other cases. In particular, in quantum mechanics, this restriction is associated with the probabilistic interpretation of the wave function proposed by M. Born in 1926. In this regard, we present  results on non-uniqueness, uniqueness, and reconstruction in the inverse scattering problem without phase information. We are motivated by recent and very significant progress in this area.

Further Information
Venue:
Erwin Schrödinger Institute - virtual
Recordings:
Recording
Associated Event:
Tomographic Reconstructions and their Startling Applications (Online Workshop)
Organizer(s):
Wolfgang Drexler (Med U Vienna)
Peter Elbau (U Vienna)
Ronny Ramlau (RICAM, Linz)
Monika Ritsch-Marte (Med Uni Innsbruck)
Otmar Scherzer (U Vienna)
Gerhard Schütz (TU Vienna)