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STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS

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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Contributor : Agissilaos Athanassoulis <>
Submitted on : Saturday, August 6, 2011 - 5:22:29 PM
Last modification on : Monday, October 26, 2020 - 2:50:03 PM
Long-term archiving on: : Sunday, December 4, 2016 - 6:00:02 AM

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Agissilaos Athanassoulis, Thierry Paul. STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, 22 (12), pp.1250038. ⟨10.1142/S0218202512500388⟩. ⟨inria-00533558v8⟩

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