Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus

This paper is devoted to the semiclassical analysis of spectrum Dirichlet–Pauli operator on an annulus. We assume that magnetic field strictly positive and radial. give explicit asymptotic expansion at first order lowest eigenvalues this in limit. In particular, we exhibit Aharonov–Bohm effect has been revealed, for a constant field, recent by Helffer Sundqvist.