Self-Adjoint Extensions of the Dirac Hamiltonian with a delta-Sphere Interaction

Abstract

The purpose of this paper is to make an explicit construction of specific self-adjoint extensions of the Dirac Hamiltonian in the presence of a $\delta$-sphere interaction of finite radius. The exact resolvent kernel of the free Dirac operator is given. This specifies related results that have recently appeared in the literature.

To appear in the Proceedings of the Third International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH3), 1st-7th November 2003, Cotonou (Republic of Benin), 14 pages