Spectral transitions for Aharonov-Bohm Laplacians on conical layers
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
Abstract We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dirichlet boundary conditions on the boundary of the domain. We show that there exists a critical total magnetic flux depending on …