KTH/SU Mathematics Colloquium

November 1 2006

Stefan Giller, Lodz

Basic Facts on Borel Summability of Semiclassical Series in 1-D Quantum Mechanics with Polynomial Potentials.

ABSTRACT We present basic results on Borel summability in 1-D quantum mechanics with polynomial potentials. We show that these are the fundamental solutions to the Schroedinger equation which semiclassical asymptotic expansions are Borel summable to the solutions themselves and that the fundamental solutions are unique in this respect.