Eigenvalues and Holonomy

We estimate the eigenvalues of connection Laplacians in terms of the non-triviality of the holonomy.Comment: 9 page

On the number of bound states for weak perturbations of spin-orbit Hamiltonians

We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for some weak perturbations of a class of spin-orbit Hamiltonians including the Rashba and Dresselhaus Hamiltonians