inria-00533558, version 8
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.
- 1:
- Université de Cambridge
- 2:
- CNRS : UMR7640 – Polytechnique - X
- Domain : Mathematics/Analysis of PDEs
- Available versions : v1 (2010-11-07) v2 (2010-11-17) v3 (2010-11-17) v4 (2010-11-25) v5 (2010-12-01) v6 (2011-01-28) v7 (2011-02-02) v8 (2011-08-07)
- inria-00533558, version 8
- http://hal.inria.fr/inria-00533558
- oai:hal.inria.fr:inria-00533558
- From:
- Submitted on: Saturday, 6 August 2011 17:22:29
- Updated on: Sunday, 7 August 2011 18:17:48
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