Strong and weak semiclassical limit for some rough hamiltonians

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Abstract

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.
Original languageEnglish
JournalMathematical Models and Methods in Applied Sciences
Volume22
Issue number12
DOIs
Publication statusPublished - Dec 2012

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