Strong and weak semiclassical limit for some rough hamiltonians

Agissilaos Athanassoulis; Thierry Paul

doi:10.1142/S0218202512500388

Strong and weak semiclassical limit for some rough hamiltonians

Agissilaos Athanassoulis, Thierry Paul

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 language	English
Journal	Mathematical Models and Methods in Applied Sciences
Volume	22
Issue number	12
DOIs	https://doi.org/10.1142/S0218202512500388
Publication status	Published - Dec 2012

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abstract = "We present several results concerning the semiclassical limit of the time-dependent Schr{\"o}dinger 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. {\textcopyright} 2012 World Scientific Publishing Company.",

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AB - 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.

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DO - 10.1142/S0218202512500388

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Strong and weak semiclassical limit for some rough hamiltonians

Abstract

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