von!Neumann quantization of Aharonov-Bohm operator with δ interaction:: Scattering theory, spectral and resonance properties

Using the theory of self-adjoint extensions, we study the interaction model formally given by the Hamiltonian H-alpha + V(r), where H-alpha is the Aharonov-Bohm Hamiltonian and V(r) is the delta-type interaction potential on the cylinder of radius R. We give the mathematical definition of the model, the self-adjointness of the Hamiltonian and provide relevant spectral properties, results for resonance effects and stationary scattering characteristics.