We present several results concerning the semiclassical limit of the time-dependent Schrödinger equation with potentials whose regularity does not guarantee the uniqueness of the underlying classical flow. Different topologies for the limit are considered and the situation where two bicharacteristics can be obtained out of the same initial point is emphasized. © 2012 World Scientific Publishing Company.
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - Dec 2012|