Strong and weak semiclassical limits for some rough Hamiltonians

Details Strong and weak semiclassical limits for some rough Hamiltonians Strong and weak semiclassical limits for some rough Hamiltonians

2010-11-07

arxiv.org/abs/1011.1651v7

Mathematics

Analysis of PDEs

Scientific paper

We present several results concerning the semiclassical limit of the time
dependent Schr\"odinger 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.

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