Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

We determine explicitly a boundary triple for the Dirac operator H := -i alpha center dot del + m beta + V(x) in R-3, for m is an element of R-3, and V(x) = vertical bar x vertical bar(-1) (nu I-4 + mu beta - i lambda alpha center dot x/vertical bar x vertical bar beta), with nu, mu, lambda is an element of R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When sup(x)vertical bar x parallel to V(x)vertical bar <= 1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form. Published under license by AIP Publishing.