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Preprint, Working Paper, ... |
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| Title: |
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From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit |
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| Author(s): |
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Nicolas Raymond 1 |
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| Laboratory: |
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Equations aux dérivées partielles |
| Abstract: |
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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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| Fulltext language: |
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English |
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| Production date: |
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2011-09-01 |
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| Keyword(s): |
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Magnetic Laplacian – semiclassical analysis – spectral theory – Agmon estimates |
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| Comment: |
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43 pages |
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