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arXiv · 1011.1651

Strong and weak semiclassical limits for some rough Hamiltonians

Agissilaos Athanassoulis·Thierry Paul
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Abstract

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.

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Agissilaos Athanassoulis, Thierry Paul. 2011-08-06. Strong and weak semiclassical limits for some rough Hamiltonians. https://doi.org/10.1142/s0218202512500388

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