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| HAL: hal-00625260, version 1 |
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| Available versions: | v1 (2011-09-21) | v2 (2011-09-21) | v3 (2011-12-23) | v4 (2012-05-06) |
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| Semiclassical asymptotics for the twisted Neumann Laplacian with magnetic field |
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| Nicolas Raymond 1 |
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| (2011-09-01) |
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| We consider the twisted magnetic Laplacian with Neumann condition on a smooth and bounded domain of $\R^2$ in the semiclassical limit $h\to 0$. Under generic assumptions, we prove the existence of a complete asymptotics in powers of $h$ of the lowest eigenvalues. |
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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/Analysis of PDEs Mathematics/Mathematical Physics |
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| Magnetic Laplacian – semiclassical analysis – spectral theory – Agmon estimates |
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| hal-00625260, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00625260 | |
| oai:hal.archives-ouvertes.fr:hal-00625260 | |
| From: Nicolas Raymond | |
| Submitted on: Wednesday, 21 September 2011 11:14:47 | |
| Updated on: Wednesday, 21 September 2011 12:14:54 | |
