2010/11/30 by Agissilaos Athanassoulis, Thierry Paul · 1 citation
Mathematics · #math.AP
paper · pdf · doi:10.1142/s0218202512500388
published as Mathematical Models and Methods in Applied Sciences Next Article > Volume 22, Issue 12, December 2012
arxiv created 2011/08/06 · arxiv updated 2015/05/19
We present several results concerning the semiclassical limit of the time dependent Schrödinger equation with potentials whose regularity doesn't guarantee the uniqueness of the underlying classical flow. Different topologies for the limit are considered and the situation where two bicharateristics can be obtained out of the same initial point is emphasized.