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| HAL: hal-00625260, version 4 |
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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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| From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit |
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| Nicolas Raymond 1 |
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| (2011-09-01) |
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| We consider a 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 that the eigenvalues admit complete asymptotic expansions in powers of $h^{1/4}$. |
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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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| Equations aux dérivées partielles |
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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 4 | |
| http://hal.archives-ouvertes.fr/hal-00625260 | |
| oai:hal.archives-ouvertes.fr:hal-00625260 | |
| From: Nicolas Raymond | |
| Submitted on: Saturday, 5 May 2012 18:42:40 | |
| Updated on: Sunday, 6 May 2012 10:26:52 | |
