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| HAL: hal-00567206, version 1 |
| arXiv: 1102.4018 |
| Detailed view |  Export this paper |
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| Higher order terms for the quantum evolution of a Wick observable within the Hepp method |
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| Sébastien Breteaux 1 |
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| (2011-02-18) |
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| The Hepp method is the coherent state approach to the mean field dynamics for bosons or to the semiclassical propagation. A key point is the asymptotic evolution of Wick observables under the evolution given by a time-dependent quadratic Hamiltonian. This article provides a complete expansion with respect to the small parameter ε > 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Subject | : | Mathematics/Mathematical Physics |
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| mean field limit – semiclassical limit – coherent states – squeezed states |
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| Attached file list to this document: | ||||||||||
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| hal-00567206, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00567206 | |
| oai:hal.archives-ouvertes.fr:hal-00567206 | |
| From: Sébastien Breteaux | |
| Submitted on: Friday, 18 February 2011 17:25:47 | |
| Updated on: Monday, 21 February 2011 09:44:37 | |
