Faddeev eigenfunctions for multipoint potentials

by Prof. Petr Grinevich (Landau Institute for Theoretical Physics, Chernogolovka, Russia)

Thursday 29 Jan 2015, 16:00 → 17:00 Europe/Rome

Aula Conversi (Dipartimento di Fisica - Ed. G. Marconi)

In the study of the multidimensional inverse scattering problem for the Schroedinger operator it is essential to know the singularities of the wave functions in the area of complex momenta (Faddeev eigenfunctions). The proper formulation of the inverse scattering problem in the presence of singularities remains an open problem. To study these singularities we consider the simplest examples of point-like potentials (first introduced by H. Bethe and R. Peierls in 1935). These examples are exactly solvable (joint work with R.G. Novikov).