Yafaev D.
High energy and smoothness asymptotic expansion of the scattering
amplitude
(129K, LATEX)
ABSTRACT. We find an explicit expression for the kernel of
the scattering matrix for the Schr\"odinger operator
containing at high energies all terms of power
order. It turns out that the same expression gives a complete description
of the diagonal
singularities of the kernel in the angular variables. The formula
obtained is in some sense
universal since it applies both to short- and long-range electric as well
as magnetic
potentials.