Strong and weak semiclassical limits 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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- 10.48550/arXiv.1011.1651
- arXiv:
- arXiv:1011.1651
- Bibcode:
- 2010arXiv1011.1651A
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- Mathematical Models and Methods in Applied Sciences Next Article >