Semiclassical asymptotics for the twisted Neumann Laplacian with magnetic field

Nicolas Raymond (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Magnetic Laplacian; semiclassical analysis; spectral theory; Agmon estimates

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Nicolas Raymond. Semiclassical asymptotics for the twisted Neumann Laplacian with magnetic field. 2011. ⟨hal-00625260v3⟩