On the double-well problem for Dirac operators

We show that the eigenvalues of a Dirac Hamiltonian with two centers of force converge to those of the Hamiltonians with only one center of force in the limit as the spacing goes to infinity. We discuss perturbation theory and show how to estimate the spread of asymptotically degenerate sets of eigenvalues. The methods are for the most part not special to Dirac operators