Anisotropic Aharonov-Bohm effect

Results obtained for the nonrelativistic Aharonov-Bohm effect, together with contact interactions, are presented and discussed. These results are compared with those concerning the spectrum and the scattering amplitude for two interactions separately. We use the formalism of first quantization and refer, for technical tools, to the von Neumann-Krein theory for the construction of self-adjoint extensions of symmetric operators and to scattering theory. Despite the rotational invariance of both magnetic and contact interactions, their superposition can give rise to an anisotropy effect.