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.