Seminario di analisi matematica
ore
10:00
presso Seminario II
The point scatterers were introduced in middle of 1930-ies as a simple
model of nuclear interactions by Bethe, Peierls
and Fermi. The strict functional-analytic interpretation was suggested by
Berezin and Faddeeev.
One of the principal problems of the multidimensional scattering theory is
the lack of exactly solvable systems. We
calculate the Faddeev (complex momenta) eigenfunctions for a system of
point scatterers and show that this model
is useful to check some hypotheses about the behavior of the Faddeev
eigenfunctions in the complex domain.