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43 pagesInternational audienceWe 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 $h^{1/4}$

From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit