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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2012

STRONG AND WEAK SEMICLASSICAL LIMIT FOR SOME ROUGH HAMILTONIANS

Résumé

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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Dates et versions

inria-00533558 , version 1 (07-11-2010)
inria-00533558 , version 2 (17-11-2010)
inria-00533558 , version 3 (17-11-2010)
inria-00533558 , version 4 (25-11-2010)
inria-00533558 , version 5 (01-12-2010)
inria-00533558 , version 6 (28-01-2011)
inria-00533558 , version 7 (02-02-2011)
inria-00533558 , version 8 (06-08-2011)

Identifiants

Citer

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