Semiclassical asymptotics for the twisted Neumann Laplacian with magnetic field

Nicolas Raymond · 2011

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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