| HAL: hal-00662899, version 2 |
| arXiv: 1201.5622 |
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| Available versions: | v1 (2012-01-26) | v2 (2012-01-26) |
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| On the selection of the classical limit for potentials with BV derivatives |
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| Agissilaos Athanassoulis 1Thierry Paul 2 |
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| (2012-01-25) |
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| We consider the classical limit of the quantum evolution, with some rough potential, of wave packets concentrated near singular trajectories of the underlying dynamics. We prove that under appropriate conditions, even in the case of BV vector fields, the correct classical limit can be selected. |
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| 1: | Department of Applied Mathematics |
| University of Crete | |
| 2: | Centre de Mathématiques Laurent Schwartz (CMLS-EcolePolytechnique) |
| CNRS : UMR7640 – Polytechnique - X | |
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| Subject | : | Mathematics/Analysis of PDEs Mathematics/Mathematical Physics Physics/Quantum Physics |
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| Attached file list to this document: | |||||
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| hal-00662899, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00662899 | |
| oai:hal.archives-ouvertes.fr:hal-00662899 | |
| From: Thierry Paul | |
| Submitted on: Thursday, 26 January 2012 19:17:02 | |
| Updated on: Thursday, 26 January 2012 21:01:56 | |