From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit
Nicolas Raymond · Analysis & PDE · 2013
We consider a twisted magnetic Laplacian with Neumann condition on a smooth and bounded domain of ޒ 2 in the semiclassical limit h → 0. Under generic assumptions, we prove that the eigenvalues admit a complete asymptotic expansion in powers of h 1/4 .